An original Thinka practice paper modelled on the structure and difficulty of the Jun 2023 (V2) Cambridge International A Level Sciences - Co-ordinated (Double) (0654) paper. Not affiliated with or reproduced from Cambridge.
Paper 22 (Extended MCQ)
Answer all 40 multiple-choice questions. Choose the single correct option out of A, B, C, or D.
40 PastPaper.question · 40 PastPaper.marks
PastPaper.question 1 · multipleChoice
1 PastPaper.marks
An object of mass \( 4.0\text{ kg} \) is released from rest at a height of \( 15\text{ m} \) above the ground. It falls under gravity. Just before hitting the ground, its speed is \( 14\text{ m/s} \). Take the acceleration of free fall \( g = 10\text{ m/s}^2 \). How much energy was converted to thermal energy due to air resistance during the fall?
A.\( 208\text{ J} \)
B.\( 392\text{ J} \)
C.\( 600\text{ J} \)
D.\( 796\text{ J} \)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
First, calculate the initial gravitational potential energy (GPE): \( \text{GPE} = mgh = 4.0 \times 10 \times 15 = 600\text{ J} \). Next, calculate the final kinetic energy (KE): \( \text{KE} = \frac{1}{2}mv^2 = 0.5 \times 4.0 \times 14^2 = 2.0 \times 196 = 392\text{ J} \). The energy converted to thermal energy is the loss in mechanical energy: \( E_{\text{loss}} = 600 - 392 = 208\text{ J} \).
PastPaper.markingScheme
1 mark for the correct calculation of thermal energy loss leading to Option A.
PastPaper.question 2 · multipleChoice
1 PastPaper.marks
A spring has an unstretched length of \( 12.0\text{ cm} \). When a load of \( 6.0\text{ N} \) is suspended from it, the total length of the spring becomes \( 15.0\text{ cm} \). Assuming the limit of proportionality is not exceeded, what is the total length of the spring when a load of \( 10.0\text{ N} \) is suspended from it?
A.\( 5.0\text{ cm} \)
B.\( 17.0\text{ cm} \)
C.\( 20.0\text{ cm} \)
D.\( 25.0\text{ cm} \)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Find the extension for a \( 6.0\text{ N} \) load: \( 15.0\text{ cm} - 12.0\text{ cm} = 3.0\text{ cm} \). The extension per unit force (compliance) is \( \frac{3.0\text{ cm}}{6.0\text{ N}} = 0.5\text{ cm/N} \). For a \( 10.0\text{ N} \) load, the extension will be \( 10.0\text{ N} \times 0.5\text{ cm/N} = 5.0\text{ cm} \). The new total length is \( 12.0\text{ cm} + 5.0\text{ cm} = 17.0\text{ cm} \).
PastPaper.markingScheme
1 mark for calculating the correct extension and adding it to the unstretched length to get 17.0 cm (Option B).
PastPaper.question 3 · multipleChoice
1 PastPaper.marks
An alkane hydrocarbon molecule \( X \) is cracked to yield exactly one molecule of propene and exactly one molecule of butane. What is the molecular formula of hydrocarbon \( X \)?
A.\( \text{C}_7\text{H}_{12} \)
B.\( \text{C}_7\text{H}_{14} \)
C.\( \text{C}_7\text{H}_{16} \)
D.\( \text{C}_8\text{H}_{18} \)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Propene has the formula \( \text{C}_3\text{H}_6 \) and butane has the formula \( \text{C}_4\text{H}_{10} \). Cracking involves breaking down a larger hydrocarbon into smaller ones without losing any atoms. Therefore, the total number of carbon atoms in \( X \) is \( 3 + 4 = 7 \), and the total number of hydrogen atoms is \( 6 + 10 = 16 \). The molecular formula of \( X \) is \( \text{C}_7\text{H}_{16} \).
PastPaper.markingScheme
1 mark for identifying the formulas of propene and butane, summing their constituent atoms, and choosing Option C.
PastPaper.question 4 · multipleChoice
1 PastPaper.marks
Methanol reacts with propanoic acid in the presence of an acid catalyst to form an ester and water. What is the name and structural formula of the ester formed?
Methanol (an alcohol with 1 carbon) reacts with propanoic acid (a carboxylic acid with 3 carbons) to form methyl propanoate and water. The structures of the acid and alcohol link to give the ester structure \( \text{CH}_3\text{CH}_2\text{COOCH}_3 \).
PastPaper.markingScheme
1 mark for identifying the ester as methyl propanoate with the corresponding correct structural formula (Option A).
PastPaper.question 5 · multipleChoice
1 PastPaper.marks
A potential difference of \( 12\text{ V} \) is applied across a circuit consisting of a \( 6.0\ \Omega \) resistor connected in series with a parallel combination of two \( 4.0\ \Omega \) resistors. What is the total current drawn from the power supply?
A.\( 0.86\text{ A} \)
B.\( 1.2\text{ A} \)
C.\( 1.5\text{ A} \)
D.\( 2.0\text{ A} \)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
First, calculate the equivalent resistance of the two \( 4.0\ \Omega \) resistors in parallel: \( R_p = \frac{4.0 \times 4.0}{4.0 + 4.0} = 2.0\ \Omega \). Next, add this to the series resistor: \( R_{\text{total}} = 6.0\ \Omega + 2.0\ \Omega = 8.0\ \Omega \). Finally, find the current using Ohm\'s law: \( I = \frac{V}{R_{\text{total}}} = \frac{12\text{ V}}{8.0\ \Omega} = 1.5\text{ A} \).
PastPaper.markingScheme
1 mark for calculating the correct total resistance of 8.0 ohms and using Ohm\'s law to find 1.5 A (Option C).
PastPaper.question 6 · multipleChoice
1 PastPaper.marks
An ideal step-down transformer has \( 1200 \) turns on its primary coil and \( 300 \) turns on its secondary coil. The primary coil is connected to a \( 240\text{ V} \) a.c. supply. If the current in the secondary circuit is \( 4.0\text{ A} \), what is the current in the primary circuit?
A.\( 1.0\text{ A} \)
B.\( 4.0\text{ A} \)
C.\( 16\text{ A} \)
D.\( 120\text{ A} \)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
For an ideal transformer, the ratio of primary to secondary turns is inversely proportional to the ratio of primary to secondary currents: \( \frac{I_p}{I_s} = \frac{N_s}{N_p} \). Rearranging gives \( I_p = I_s \times \frac{N_s}{N_p} = 4.0\text{ A} \times \frac{300}{1200} = 4.0 \times 0.25 = 1.0\text{ A} \).
PastPaper.markingScheme
1 mark for using the transformer power/current relation correctly to obtain 1.0 A (Option A).
PastPaper.question 7 · multipleChoice
1 PastPaper.marks
Which row correctly matches a leaf structure to its adaptation for photosynthesis?
A.Palisade mesophyll | Contains many chloroplasts and is positioned near the upper surface to maximize light absorption
B.Spongy mesophyll | Closely packed cells with no intercellular air spaces to maximize gas exchange
C.Cuticle | Cellular layer containing stomata to regulate water vapor loss
D.Guard cells | Thick-walled cells that carry out translocation of sucrose
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The palisade mesophyll contains a high density of chloroplasts and is located near the top of the leaf to maximize light absorption. Spongy mesophyll is loosely packed with air spaces to facilitate gas diffusion, the cuticle is a non-cellular waxy barrier, and guard cells control the stomata, not translocation.
PastPaper.markingScheme
1 mark for identifying the correct structural adaptation of the palisade mesophyll (Option A).
PastPaper.question 8 · multipleChoice
1 PastPaper.marks
When a person accidentally touches a hot object, a rapid reflex action occurs. What is the correct sequence of nerve impulse transmission in this reflex arc?
A reflex arc starts with a receptor detecting the stimulus, which sends an impulse along a sensory neurone to the central nervous system. In the spinal cord, the impulse is passed across a relay neurone, and then to a motor neurone, which conducts the impulse to an effector (muscle or gland) to produce a response.
PastPaper.markingScheme
1 mark for identifying the correct neurone sequence in the reflex arc (Option A).
PastPaper.question 9 · multipleChoice
1 PastPaper.marks
An alkene X is cracked from a long-chain alkane. When 1 mol of alkene X reacts completely with bromine, 1 mol of 1,2-dibromopropane is formed. Which statement about alkene X is correct?
A.It has the molecular formula \(\text{C}_3\text{H}_8\).
B.It is a saturated hydrocarbon.
C.It reacts with steam in the presence of an acid catalyst to form propanol.
D.It is used as a monomer to produce poly(ethene).
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Alkene X reacts with bromine to form 1,2-dibromopropane, which contains 3 carbon atoms. Therefore, alkene X must be propene (\(\text{C}_3\text{H}_6\)). Propene is an unsaturated hydrocarbon that undergoes addition reactions. Hydration of propene with steam in the presence of an acid catalyst (such as phosphoric acid) yields propanol, making option C correct. Option A is incorrect as propene has the formula \(\text{C}_3\text{H}_6\). Option B is incorrect as propene is unsaturated. Option D is incorrect as polymerisation of propene yields poly(propene), not poly(ethene).
PastPaper.markingScheme
1 mark for identifying C as the correct option. Reject other options.
PastPaper.question 10 · multipleChoice
1 PastPaper.marks
A student connects three resistors of resistances 2.0 \(\Omega\), 3.0 \(\Omega\), and 6.0 \(\Omega\) in a circuit. Which combination of these three resistors will give an effective total resistance of exactly 4.0 \(\Omega\)?
A.All three resistors connected in parallel.
B.All three resistors connected in series.
C.The 3.0 \(\Omega\) and 6.0 \(\Omega\) resistors connected in parallel, with this parallel combination connected in series with the 2.0 \(\Omega\) resistor.
D.The 2.0 \(\Omega\) and 3.0 \(\Omega\) resistors connected in parallel, with this parallel combination connected in series with the 6.0 \(\Omega\) resistor.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Calculate the equivalent resistance for option C: The parallel combination of 3.0 \(\Omega\) and 6.0 \(\Omega\) has resistance \(R_p = \frac{3.0 \times 6.0}{3.0 + 6.0} = \frac{18}{9} = 2.0\ \Omega\). When this combination is connected in series with the 2.0 \(\Omega\) resistor, the total resistance is \(R_{total} = 2.0\ \Omega + 2.0\ \Omega = 4.0\ \Omega\). Thus, option C is correct.
PastPaper.markingScheme
1 mark for identifying C as the correct option. Reject other options.
PastPaper.question 11 · multipleChoice
1 PastPaper.marks
An electric motor is used to lift a load of weight 400 N vertically through a height of 12 m in a time of 8.0 s. The electrical power input to the motor is 800 W. What is the efficiency of the motor system?
A.6.0%
B.24%
C.60%
D.75%
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
First, calculate the useful work output: \(W = \text{weight} \times \text{height} = 400\text{ N} \times 12\text{ m} = 4800\text{ J}\). Next, calculate the useful power output: \(P_{out} = \frac{W}{t} = \frac{4800\text{ J}}{8.0\text{ s}} = 600\text{ W}\). Finally, calculate the efficiency: \(\text{Efficiency} = \frac{P_{out}}{P_{in}} \times 100\% = \frac{600\text{ W}}{800\text{ W}} \times 100\% = 75\%\). Thus, option D is correct.
PastPaper.markingScheme
1 mark for identifying D as the correct option. Reject other options.
PastPaper.question 12 · multipleChoice
1 PastPaper.marks
A concentrated aqueous solution of sodium chloride is electrolysed using inert platinum electrodes. Which statement about this electrolysis is correct?
A.Hydrogen gas is produced at the cathode because sodium is more reactive than hydrogen.
B.Chlorine gas is produced at the anode because hydroxide ions are discharged in preference to halide ions.
C.The pH of the electrolyte decreases during the electrolysis as hydrogen ions are removed.
D.Sodium metal is deposited at the cathode because it is a positive ion.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
During the electrolysis of concentrated aqueous sodium chloride: At the cathode, both \(\text{Na}^+\) and \(\text{H}^+\) ions are attracted. Since sodium is more reactive than hydrogen, \(\text{H}^+\) ions are preferentially discharged to produce hydrogen gas (\(\text{H}_2\)). Thus, option A is correct. At the anode, \(\text{Cl}^-\) ions are discharged in preference to \(\text{OH}^-\) because the solution is concentrated, producing chlorine gas. The remaining ions in solution are \(\text{Na}^+\) and \(\text{OH}^-\), which form sodium hydroxide, making the solution alkaline and causing the pH to increase, not decrease.
PastPaper.markingScheme
1 mark for identifying A as the correct option. Reject other options.
PastPaper.question 13 · multipleChoice
1 PastPaper.marks
A person accidentally touches a hot pan and quickly pulls their hand away. Which sequence shows the correct pathway of the nerve impulse in this reflex arc?
A.receptor \(\rightarrow\) sensory neurone \(\rightarrow\) relay neurone in spinal cord \(\rightarrow\) motor neurone \(\rightarrow\) effector
B.receptor \(\rightarrow\) motor neurone \(\rightarrow\) relay neurone in brain \(\rightarrow\) sensory neurone \(\rightarrow\) effector
C.effector \(\rightarrow\) sensory neurone \(\rightarrow\) relay neurone in spinal cord \(\rightarrow\) motor neurone \(\rightarrow\) receptor
D.receptor \(\rightarrow\) sensory neurone \(\rightarrow\) motor neurone in brain \(\rightarrow\) relay neurone \(\rightarrow\) effector
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
In a reflex arc, a stimulus is detected by a receptor, which initiates an impulse. This impulse travels along the sensory neurone to the central nervous system (specifically the spinal cord for standard spinal reflexes), where it crosses a synapse to a relay neurone. It then crosses another synapse to a motor neurone, which transmits the impulse to the effector (muscle) to carry out the response. Therefore, option A is correct.
PastPaper.markingScheme
1 mark for identifying A as the correct option. Reject other options.
PastPaper.question 14 · multipleChoice
1 PastPaper.marks
In a species of plant, the allele for red flowers (R) is dominant to the allele for white flowers (r). A heterozygous red-flowered plant is crossed with a white-flowered plant. What are the expected percentages of phenotypes and genotypes in the offspring?
The heterozygous red-flowered plant has the genotype Rr. The white-flowered plant has the genotype rr. Crossing them (Rr x rr) yields offspring genotypes of 50% Rr and 50% rr. Since R is dominant, Rr individuals have red flowers, and rr individuals have white flowers. Therefore, the expected phenotypes are 50% red and 50% white. This matches option B.
PastPaper.markingScheme
1 mark for identifying B as the correct option. Reject other options.
PastPaper.question 15 · multipleChoice
1 PastPaper.marks
Which statement describes the trends in properties of the elements as you go down Group I and Group VII of the Periodic Table?
A.The melting point of Group I elements increases, while the melting point of Group VII elements decreases.
B.The reactivity of Group I elements decreases, while the reactivity of Group VII elements increases.
C.The density of Group I elements generally increases, while the density of Group VII elements generally decreases.
D.The reactivity of Group I elements increases, while the reactivity of Group VII elements decreases.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
As you go down Group I (alkali metals), the outer electron is further from the nucleus and more easily lost, so reactivity increases. As you go down Group VII (halogens), the attraction for an incoming electron decreases, so reactivity decreases. Therefore, reactivity increases down Group I but decreases down Group VII, making option D correct.
PastPaper.markingScheme
1 mark for identifying D as the correct option. Reject other options.
PastPaper.question 16 · multipleChoice
1 PastPaper.marks
A 2.0 kg block of metal is heated with a 150 W heater for 4.0 minutes. The temperature of the block increases from 20 °C to 65 °C. Assuming there is no heat loss to the surroundings, what is the specific heat capacity of the metal?
A.200 J/(kg °C)
B.400 J/(kg °C)
C.800 J/(kg °C)
D.24000 J/(kg °C)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The total thermal energy supplied is \(E = P \times t = 150\text{ W} \times (4.0 \times 60\text{ s}) = 150 \times 240 = 36000\text{ J}\). The temperature change is \(\Delta T = 65\ ^\circ\text{C} - 20\ ^\circ\text{C} = 45\ ^\circ\text{C}\). Using the formula \(E = m c \Delta T\), we find \(c = \frac{E}{m \Delta T} = \frac{36000}{2.0 \times 45} = \frac{36000}{90} = 400\text{ J}/(\text{kg}\ ^\circ\text{C})\). Therefore, option B is correct.
PastPaper.markingScheme
1 mark for identifying B as the correct option. Reject other options.
PastPaper.question 17 · multipleChoice
1 PastPaper.marks
A segment of an addition polymer is represented as: ... - CH(CH3) - CH2 - CH(CH3) - CH2 - CH(CH3) - CH2 - ... Which monomer is used to synthesize this polymer?
A.propene
B.ethene
C.but-1-ene
D.but-2-ene
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The repeating unit of the polymer is -CH(CH3)-CH2-. By replacing the single bond connecting these carbon atoms with a double bond, we obtain the monomer CH(CH3)=CH2, which is propene.
PastPaper.markingScheme
1 mark: Correctly identifying propene as the monomer corresponding to the repeating unit.
PastPaper.question 18 · multipleChoice
1 PastPaper.marks
An AC generator consists of a coil of wire rotating in a magnetic field. Which modification will double the maximum electromotive force (e.m.f.) generated by the coil?
A.Doubling the speed of rotation and doubling the number of turns in the coil.
B.Doubling the speed of rotation and halving the number of turns in the coil.
C.Halving the speed of rotation and keeping the number of turns constant.
D.Doubling the speed of rotation and keeping the number of turns constant.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The maximum induced e.m.f. is directly proportional to both the speed of rotation and the number of turns in the coil. Doubling the speed of rotation while keeping the number of turns constant will double the maximum e.m.f.
PastPaper.markingScheme
1 mark: Correctly identifying that doubling speed of rotation with constant turns doubles the e.m.f.
PastPaper.question 19 · multipleChoice
1 PastPaper.marks
An object of mass 3.0 kg is moving with a velocity of 6.0 m/s to the right. A constant force is applied to the object for 4.0 seconds, changing its velocity to 2.0 m/s to the left. What is the magnitude of the force applied, and what is its direction?
A.Magnitude: 3.0 N; Direction: to the left
B.Magnitude: 3.0 N; Direction: to the right
C.Magnitude: 6.0 N; Direction: to the left
D.Magnitude: 6.0 N; Direction: to the right
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Taking the direction to the right as positive: initial velocity u = +6.0 m/s and final velocity v = -2.0 m/s. Impulse is given by F * t = m * (v - u). Substituting the values: F * 4.0 = 3.0 * (-2.0 - 6.0) = -24 N s. Therefore, F = -6.0 N. The magnitude of the force is 6.0 N and the direction is to the left (negative direction).
PastPaper.markingScheme
1 mark: Correctly calculating the change in momentum taking direction into account, and solving for force magnitude and direction.
PastPaper.question 20 · multipleChoice
1 PastPaper.marks
A circuit consists of three resistors: one 4.0 ohm resistor, one 6.0 ohm resistor, and one 12.0 ohm resistor. Two of the resistors are connected in parallel, and this combination is connected in series with the third resistor. Which of the following values is NOT a possible total resistance of this network?
A.8.0 ohms
B.9.0 ohms
C.10.0 ohms
D.14.4 ohms
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
We test all three possible configurations. Configuration 1: 6.0 and 12.0 ohms in parallel is 4.0 ohms, connected in series with 4.0 ohms gives a total of 8.0 ohms. Configuration 2: 4.0 and 12.0 ohms in parallel is 3.0 ohms, connected in series with 6.0 ohms gives a total of 9.0 ohms. Configuration 3: 4.0 and 6.0 ohms in parallel is 2.4 ohms, connected in series with 12.0 ohms gives a total of 14.4 ohms. Therefore, 10.0 ohms is not a possible total resistance.
PastPaper.markingScheme
1 mark: Calculating the equivalent resistances for the combinations and identifying that 10.0 ohms cannot be formed.
PastPaper.question 21 · multipleChoice
1 PastPaper.marks
Petroleum is separated into fractions by fractional distillation. Which statement correctly describes a fraction and its properties compared to the fractions collected at the bottom of the fractionating column?
A.Fractions collected near the top of the column have larger molecules, lower boiling points, and are more viscous.
B.Fractions collected near the top of the column have smaller molecules, lower boiling points, and are less viscous.
C.Fractions collected near the bottom of the column have smaller molecules, higher boiling points, and are less viscous.
D.Fractions collected near the bottom of the column have larger molecules, lower boiling points, and are more viscous.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
As you move up the fractionating column, the temperature decreases. The fractions with lower boiling points condense near the top. These fractions consist of smaller molecules and are less viscous (more runny) compared to those at the bottom.
PastPaper.markingScheme
1 mark: Identifying the correct trends in boiling point, molecule size, and viscosity along the fractionating column.
PastPaper.question 22 · multipleChoice
1 PastPaper.marks
A skydiver of mass 80 kg falls from an aircraft. At one point during the fall before the parachute is opened, the air resistance acting upwards on the skydiver is 500 N. Assuming the acceleration of free fall g = 10 m/s^2, what is the acceleration of the skydiver at this point?
A.3.75 m/s^2 downwards
B.3.75 m/s^2 upwards
C.6.25 m/s^2 downwards
D.10.0 m/s^2 downwards
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The weight of the skydiver is W = m * g = 80 kg * 10 m/s^2 = 800 N downwards. The net force on the skydiver is F = W - R = 800 N - 500 N = 300 N downwards. According to Newton's second law, acceleration a = F / m = 300 N / 80 kg = 3.75 m/s^2 downwards.
PastPaper.markingScheme
1 mark: Calculating the net force as 300 N and using F = ma to find the correct acceleration of 3.75 m/s^2 downwards.
PastPaper.question 23 · multipleChoice
1 PastPaper.marks
Hydrocarbon X is an alkene. When hydrocarbon X reacts with steam in the presence of a catalyst, product Y is formed. What is the correct classification of this reaction, and what is the functional group present in product Y?
A.Substitution reaction; alcohol (-OH)
B.Addition reaction; alcohol (-OH)
C.Substitution reaction; carboxylic acid (-COOH)
D.Addition reaction; carboxylic acid (-COOH)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Alkenes undergo addition reactions with steam to produce alcohols. Alcohols contain the hydroxyl (-OH) functional group.
PastPaper.markingScheme
1 mark: Correctly identifying the reaction as addition and the functional group as alcohol (-OH).
PastPaper.question 24 · multipleChoice
1 PastPaper.marks
A bar magnet is pushed, north pole first, into a solenoid connected to a sensitive center-zero galvanometer. The needle of the galvanometer deflects to the right. Which action would cause the needle of the galvanometer to deflect to the left?
A.Pushing the south pole of the magnet into the solenoid at the same speed.
B.Pushing the north pole of the magnet into the solenoid at a faster speed.
C.Holding the north pole of the magnet stationary inside the solenoid.
D.Pulling the south pole of the magnet out of the solenoid.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Pushing the north pole in causes a deflection to the right. By reversing the magnetic pole being pushed in (using the south pole instead), the direction of the induced current and thus the deflection of the galvanometer is reversed, causing it to deflect to the left.
PastPaper.markingScheme
1 mark: Correctly applying Lenz's law and Faraday's law principles to determine that pushing the opposite pole in reverses the deflection direction.
PastPaper.question 25 · multipleChoice
1 PastPaper.marks
A toy car of mass \(0.5\text{ kg}\) is launched up a frictionless ramp with an initial speed of \(4.0\text{ m/s}\). What is the maximum vertical height the car reaches? (Take \(g = 10\text{ m/s}^2\))
A.0.4 m
B.0.8 m
C.1.6 m
D.3.2 m
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Using the law of conservation of energy, the initial kinetic energy is fully converted into gravitational potential energy at maximum height: \(E_k = E_p\). This gives \(\frac{1}{2} m v^2 = m g h\). Dividing both sides by mass \(m\), we get \(\frac{1}{2} v^2 = g h\). Substituting the values: \(\frac{1}{2} \times (4.0)^2 = 10 \times h\), which simplifies to \(8.0 = 10 \times h\). Thus, \(h = 0.8\text{ m}\).
PastPaper.markingScheme
1 mark for selecting the correct option B. (Method: Award 1 mark for calculating the maximum vertical height using the conservation of energy equation.)
PastPaper.question 26 · multipleChoice
1 PastPaper.marks
Which hydrocarbon reacts with steam in the presence of an acid catalyst to produce ethanol, and what is the type of this chemical reaction?
A.ethane, addition reaction
B.ethane, substitution reaction
C.ethene, addition reaction
D.ethene, substitution reaction
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Ethene (an alkene) reacts with steam in the presence of a phosphoric acid catalyst to produce ethanol. Since the double bond of ethene opens up to add the atoms of the water molecule, this is classified as an addition reaction.
PastPaper.markingScheme
1 mark for selecting the correct option C.
PastPaper.question 27 · multipleChoice
1 PastPaper.marks
A \(12\text{ V}\) battery is connected to three \(6.0\ \Omega\) resistors. Two of these resistors are connected in parallel with each other, and this parallel combination is connected in series with the third resistor. What is the total current drawn from the battery?
A.0.67 A
B.1.3 A
C.2.0 A
D.6.0 A
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
First, calculate the equivalent resistance of the two parallel resistors: \(1/R_p = 1/6.0 + 1/6.0 = 2/6.0 = 1/3.0\), so \(R_p = 3.0\ \Omega\). Next, add the series resistor to get the total resistance: \(R_{total} = R_p + 6.0 = 3.0 + 6.0 = 9.0\ \Omega\). Finally, use Ohm's law to find the current: \(I = V / R_{total} = 12\text{ V} / 9.0\ \Omega \approx 1.33\text{ A}\).
PastPaper.markingScheme
1 mark for selecting the correct option B. (Method: Award 1 mark for correctly calculating the total circuit resistance and applying Ohm's law.)
PastPaper.question 28 · multipleChoice
1 PastPaper.marks
An unstretched spring has a length of \(12.0\text{ cm}\). When a load of \(4.0\text{ N}\) is hung from it, its length becomes \(15.0\text{ cm}\). Assuming the limit of proportionality is not exceeded, what is the length of the spring when the load is increased to \(10.0\text{ N}\)?
A.7.5 cm
B.18.0 cm
C.19.5 cm
D.22.0 cm
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The original length of the spring is \(12.0\text{ cm}\). Under a load of \(4.0\text{ N}\), the extension is \(15.0\text{ cm} - 12.0\text{ cm} = 3.0\text{ cm}\). Under a load of \(10.0\text{ N}\), the extension \(x\) is proportional to the load: \(x = (10.0\text{ N} / 4.0\text{ N}) \times 3.0\text{ cm} = 7.5\text{ cm}\). The new length of the spring is original length + extension = \(12.0\text{ cm} + 7.5\text{ cm} = 19.5\text{ cm}\).
PastPaper.markingScheme
1 mark for selecting the correct option C. (Method: Award 1 mark for finding the extension and adding it to the unstretched length.)
PastPaper.question 29 · multipleChoice
1 PastPaper.marks
Ethanol is heated with ethanoic acid in the presence of a concentrated sulfuric acid catalyst. What is the name of the organic product formed and its characteristic property?
A.ethyl ethanoate, with a sharp vinegar-like smell
B.ethyl ethanoate, with a sweet fruity smell
C.methyl ethanoate, with a sharp vinegar-like smell
D.methyl ethanoate, with a sweet fruity smell
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The reaction between ethanol and ethanoic acid in the presence of sulfuric acid produces the ester ethyl ethanoate and water. Esters are known for their sweet, fruity smells and are often used in perfumes and food flavorings.
PastPaper.markingScheme
1 mark for selecting the correct option B.
PastPaper.question 30 · multipleChoice
1 PastPaper.marks
A bar magnet is pushed north-pole first into a solenoid connected to a sensitive center-zero galvanometer, causing a deflection to the right. Which action will cause a larger deflection to the left?
A.holding the magnet stationary inside the solenoid
B.pulling the magnet out of the solenoid at a slower speed
C.pulling the magnet out of the solenoid at a faster speed
D.pushing the south-pole of the magnet slowly into the solenoid
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
To reverse the direction of the induced electromotive force (and thus the galvanometer deflection) to the left, the direction of motion relative to the solenoid must be reversed (i.e., pulling the magnet out instead of pushing it in). To increase the magnitude of the deflection, the speed of relative motion must be increased, according to Faraday's law of electromagnetic induction.
PastPaper.markingScheme
1 mark for selecting the correct option C.
PastPaper.question 31 · multipleChoice
1 PastPaper.marks
In a species of plant, the allele for red flowers (\(R\)) is dominant to the allele for white flowers (\(r\)). A heterozygous red-flowered plant is crossed with a white-flowered plant. What is the expected ratio of phenotypes in the offspring?
A.all red-flowered
B.1 red-flowered : 1 white-flowered
C.3 red-flowered : 1 white-flowered
D.1 red-flowered : 3 white-flowered
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The heterozygous plant has the genotype \(Rr\), and the white-flowered plant has the genotype \(rr\). Crossing these (\(Rr \times rr\)) produces offspring with genotypes \(Rr\) (red-flowered) and \(rr\) (white-flowered) in a 1:1 ratio. Therefore, the expected phenotype ratio is 1 red-flowered : 1 white-flowered.
PastPaper.markingScheme
1 mark for selecting the correct option B.
PastPaper.question 32 · multipleChoice
1 PastPaper.marks
Which row correctly describes the role of an essential mineral ion in plants and the deficiency symptom that occurs when it is lacking?
A.Magnesium ion | Needed to make chlorophyll | Yellowing of leaves
B.Magnesium ion | Needed to make amino acids | Stunted growth
C.Nitrate ion | Needed to make chlorophyll | Stunted growth
D.Nitrate ion | Needed to make amino acids | Yellowing of leaves
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Magnesium ions are essential for making chlorophyll, the green pigment that absorbs light for photosynthesis. A deficiency in magnesium ions causes chlorosis, which is characterized by the yellowing of leaves. Nitrate ions are needed for making amino acids (proteins), and their deficiency leads to stunted growth.
PastPaper.markingScheme
1 mark for selecting the correct option A.
PastPaper.question 33 · multipleChoice
1 PastPaper.marks
A car of mass \(1200\text{ kg}\) accelerates uniformly along a straight horizontal road from a speed of \(10\text{ m/s}\) to a speed of \(20\text{ m/s}\). What is the total work done on the car to increase its speed?
A.\(60\text{ kJ}\)
B.\(180\text{ kJ}\)
C.\(240\text{ kJ}\)
D.\(300\text{ kJ}\)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
The work done on the car is equal to its change in kinetic energy:
\(\Delta KE = \frac{1}{2} m v_f^2 - \frac{1}{2} m v_i^2\)
1 mark for the correct option B. - Award 1 mark for correct calculation of change in kinetic energy. - Reject calculations using simple average speed or non-squared velocities.
PastPaper.question 34 · multipleChoice
1 PastPaper.marks
A wire of length \(L\) and uniform cross-sectional area has a resistance of \(8.0\ \Omega\). Another wire made of the same metal has twice the length \((2L)\) and twice the diameter of the first wire. What is the resistance of the second wire?
A.\(2.0\ \Omega\)
B.\(4.0\ \Omega\)
C.\(8.0\ \Omega\)
D.\(16.0\ \Omega\)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Resistance \(R\) is given by \(R = \rho \frac{L}{A}\), where \(A\) is the cross-sectional area. Area of a wire of diameter \(d\) is proportional to \(d^2\).
For the second wire: - Length is \(2L\) - Diameter is \(2d\), so the area becomes \(4A\).
Substituting these into the formula: \(R_{new} = \rho \frac{2L}{4A} = \frac{1}{2} \left(\rho \frac{L}{A}\right) = \frac{1}{2} R\)
Since \(R = 8.0\ \Omega\), the new resistance is \(4.0\ \Omega\).
PastPaper.markingScheme
1 mark for the correct option B. - Award 1 mark for recognizing that doubling the diameter increases the cross-sectional area by a factor of 4, leading to half the initial resistance.
PastPaper.question 35 · multipleChoice
1 PastPaper.marks
Which structure correctly represents the repeating unit of the addition polymer formed from but-2-ene, \(\text{CH}_3\text{CH}=\text{CHCH}_3\)?
During addition polymerization, the double bond between the carbon atoms in the monomer but-2-ene opens up to form single bonds connecting adjacent repeating units.
The structure of but-2-ene has two carbon atoms in the main double bond, each attached to one hydrogen atom and one methyl group: \(\text{CH}_3\text{-CH=CH-CH}_3\).
When the double bond opens, it forms the repeating unit: \(-\text{CH}(\text{CH}_3)\text{-CH}(\text{CH}_3)-\).
PastPaper.markingScheme
1 mark for the correct option B.
PastPaper.question 36 · multipleChoice
1 PastPaper.marks
A block of mass \(3.0\text{ kg}\) travelling at a velocity of \(4.0\text{ m/s}\) collides with a stationary block of mass \(5.0\text{ kg}\). The two blocks stick together and move away with a common velocity, \(v\).
1 mark for the correct option A. - Award 1 mark for correct application of momentum conservation.
PastPaper.question 37 · multipleChoice
1 PastPaper.marks
An ideal step-down transformer is connected to a \(240\text{ V}\) alternating current (a.c.) mains supply. The transformer steps down the voltage to \(12\text{ V}\) to power a device. The secondary circuit is connected to a resistor of resistance \(24\ \Omega\).
What is the current in the primary coil?
A.\(0.025\text{ A}\)
B.\(0.50\text{ A}\)
C.\(10\text{ A}\)
D.\(20\text{ A}\)
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
First, calculate the current in the secondary coil (\(I_s\)) using Ohm's law: \(I_s = \frac{V_s}{R} = \frac{12\text{ V}}{24\ \Omega} = 0.5\text{ A}\)
Since the transformer is ideal, the electrical power input in the primary coil equals the power output in the secondary coil: \(V_p I_p = V_s I_s\)
1 mark for the correct option A. - Award 1 mark for calculating secondary current and correctly equating primary and secondary power.
PastPaper.question 38 · multipleChoice
1 PastPaper.marks
Ethanol is manufactured either by the fermentation of glucose or by the catalytic hydration of ethene. Which row correctly compares these two industrial methods?
A.Fermentation is a rapid process, whereas hydration is a very slow batch process.
C.Fermentation requires higher temperatures than hydration.
D.Fermentation produces highly pure ethanol directly, whereas hydration produces a dilute mixture.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Fermentation of glucose is a relatively slow, batch process that uses renewable agricultural raw materials (such as sugar cane) and operates at warm room temperature. Catalytic hydration of ethene is a rapid, continuous process that uses high temperature and pressure, and relies on non-renewable fossil fuels (ethene from crude oil).
PastPaper.markingScheme
1 mark for the correct option B.
PastPaper.question 39 · multipleChoice
1 PastPaper.marks
A young plant shoot is illuminated from one side only. Which statement describes how auxins behave and cause the shoot to bend towards the light source?
A.Auxin accumulates on the illuminated side, causing cells on that side to shorten.
B.Auxin accumulates on the shaded side, causing cells on that side to elongate.
C.Auxin accumulates on the shaded side, causing cell division to slow down on that side.
D.Auxin accumulates on the illuminated side, causing cells on that side to elongate.
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Auxins are produced at the tip of the shoot and diffuse downwards. When light comes from one direction, auxins migrate and accumulate on the shaded side of the shoot. A higher concentration of auxin on the shaded side stimulates cells there to elongate more than cells on the illuminated side, causing the shoot to bend towards the light.
PastPaper.markingScheme
1 mark for the correct option B.
PastPaper.question 40 · multipleChoice
1 PastPaper.marks
Which sequence of steps is correct for preparing a pure, dry sample of copper(II) sulfate crystals from copper(II) oxide and dilute sulfuric acid?
A.add excess copper(II) oxide to acid \(\rightarrow\) evaporate the mixture to dryness \(\rightarrow\) filter
B.add excess copper(II) oxide to acid \(\rightarrow\) filter \(\rightarrow\) heat filtrate to crystallization point \(\rightarrow\) leave to cool and crystallize
C.add equal amounts of copper(II) oxide and acid \(\rightarrow\) filter \(\rightarrow\) evaporate to dryness
D.titrate copper(II) oxide against acid using an indicator \(\rightarrow\) heat filtrate to dryness
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
Copper(II) oxide is an insoluble base. The correct sequence is: 1. Add excess copper(II) oxide to warm dilute sulfuric acid to ensure all the acid is fully neutralized. 2. Filter the mixture to remove the unreacted, excess copper(II) oxide. 3. Heat the filtrate to evaporate some of the water until the crystallization point is reached. 4. Leave the saturated solution to cool and form crystals, then filter and dry them with filter paper.
PastPaper.markingScheme
1 mark for the correct option B.
Paper 42 (Extended Theory)
Answer all questions. Show your working in calculation questions and write in the spaces provided.
12 PastPaper.question · 120 PastPaper.marks
PastPaper.question 1 · structuredTheory
10 PastPaper.marks
A toy car of mass \(0.5\text{ kg}\) starts from rest and accelerates uniformly. It travels a distance of \(16\text{ m}\) in a time of \(4.0\text{ s}\) along a straight, horizontal track.
(a) Calculate the average speed of the toy car. [2]
(b) Show that the acceleration of the car is \(2.0\text{ m/s}^2\). [3]
(c) Calculate the kinetic energy of the car at \(t = 4.0\text{ s}\). [3]
(d) State the work done by the resultant force on the car during these \(4.0\text{ s}\). [2]
(b) Since the car starts from rest, its initial velocity \(u = 0\). Using the equation of motion: \(s = ut + \frac{1}{2}at^2\) \(16 = 0 + \frac{1}{2} \times a \times (4.0)^2\) \(16 = 8.0 \times a\) \(a = \frac{16}{8.0} = 2.0\text{ m/s}^2\).
(c) First, find the final velocity \(v\) of the car at \(t = 4.0\text{ s}\): \(v = u + at = 0 + (2.0 \times 4.0) = 8.0\text{ m/s}\). Then, calculate the kinetic energy (\(\text{K.E.}\)): \(\text{K.E.} = \frac{1}{2}mv^2 = \frac{1}{2} \times 0.5\text{ kg} \times (8.0\text{ m/s})^2 = 0.25 \times 64 = 16\text{ J}\).
(d) Work done by the resultant force is equal to the change in kinetic energy: \(\text{Work done} = \text{K.E.}_{\text{final}} - \text{K.E.}_{\text{initial}} = 16\text{ J} - 0 = 16\text{ J}\).
PastPaper.markingScheme
(a) [2 marks] - Formula: speed = distance / time [1] - Correct calculation: 4.0 m/s [1]
(b) [3 marks] - Selects appropriate formula: s = ut + 1/2 at^2 or uses average speed = (u+v)/2 to find v = 8.0 m/s first [1] - Correct substitution of values (16, 4.0, 0) [1] - Correct algebraic rearrangement showing a = 2.0 m/s^2 [1]
(c) [3 marks] - Calculates final velocity v = 8.0 m/s [1] - Correct K.E. formula: K.E. = 1/2 mv^2 [1] - Correct final value with units: 16 J [1]
(d) [2 marks] - Identifies work done = change in kinetic energy (or work = force x distance where force = ma = 0.5 x 2.0 = 1 N) [1] - Correct final value with units: 16 J [1]
PastPaper.question 2 · structuredTheory
10 PastPaper.marks
Hydrocarbons are organic compounds containing only carbon and hydrogen.
(a) Draw the displayed formula of but-1-ene. [2]
(b) Describe a chemical test to distinguish between butane and but-1-ene. State the reagent used and the observations for each compound. [3]
(c) But-1-ene reacts with steam in the presence of a catalyst to form an alcohol. (i) State the catalyst and conditions (temperature and pressure) required for this reaction. [2] (ii) Draw the displayed formula of the major product of this reaction, and state its IUPAC name. [3]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) The displayed formula of but-1-ene (\(\text{C}_4\text{H}_8\)) must show all atoms and all bonds clearly: H H H H | | | | H-C = C - C - C-H | | H H
(b) The reagent is bromine water (aqueous bromine), which is orange/brown. - When added to butane (an alkane), there is no reaction in the absence of UV light, so the solution remains orange/brown. - When added to but-1-ene (an alkene), addition reaction occurs and the solution turns colourless (is decolourised).
(c) (i) The reaction is hydration. The catalyst used is phosphoric acid (\(\text{H}_3\text{PO}_4\)). The conditions are a temperature of approximately \(300\ ^\circ\text{C}\) and a pressure of approximately \(60\text{ atm}\). (ii) The major product is butan-2-ol (though butan-1-ol is also formed and is acceptable in some contexts). The displayed formula of butan-2-ol shows an -OH group on the second carbon: H OH H H | | | | H-C - C - C - C-H | | | | H H H H Name: butan-2-ol (accept butan-1-ol with corresponding formula).
PastPaper.markingScheme
(a) [2 marks] - 4 carbon chain with one C=C double bond at the end [1] - All remaining valencies filled with hydrogen atoms and all bonds (C-H, C-C, C=C) shown [1]
(b) [3 marks] - Reagent: Bromine water / aqueous bromine [1] - Observation with butane: remains orange / brown / yellow (no change) [1] - Observation with but-1-ene: turns colourless / decolourised [1] (Reject 'clear')
(c)(ii) [3 marks] - Correctly drawn displayed formula of butan-2-ol (or butan-1-ol) showing the O-H bond explicitly [1] - Correct IUPAC name matching the structure drawn (butan-2-ol or butan-1-ol) [1] - All atoms and bonds shown correctly [1]
PastPaper.question 3 · structuredTheory
10 PastPaper.marks
A student sets up a potential divider circuit to monitor the temperature inside an incubator.
(a) Define electromotive force (e.m.f.). [2]
(b) Explain, in terms of its resistance, why a negative temperature coefficient (NTC) thermistor can be used as a temperature sensor. [2]
(c) A \(6.0\text{ V}\) d.c. power supply with negligible internal resistance is connected to a series circuit containing a fixed resistor of \(1200\ \Omega\) and a thermistor. (i) Show that when the thermistor resistance is \(800\ \Omega\), the total resistance of the circuit is \(2000\ \Omega\), and calculate the current in the circuit. [2] (ii) Calculate the potential difference across the thermistor at this temperature. [2] (iii) State and explain what happens to the reading on a voltmeter connected across the thermistor as the temperature of the incubator increases. [2]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) Electromotive force (e.m.f.) is defined as the work done by a source in driving unit charge around a complete circuit, or the energy transferred per unit charge from other forms to electrical energy.
(b) An NTC thermistor's electrical resistance decreases as its temperature increases. This changing resistance alters the distribution of potential difference across components in a circuit, which can be measured and calibrated to monitor temperature.
(c) (i) Since the fixed resistor and the thermistor are in series, the total resistance \(R_{\text{total}}\) is: \(R_{\text{total}} = R_1 + R_2 = 1200\ \Omega + 800\ \Omega = 2000\ \Omega\).
Using Ohm's law, the current \(I\) is: \(I = \frac{V}{R_{\text{total}}} = \frac{6.0\text{ V}}{2000\ \Omega} = 0.0030\text{ A}\) (or \(3.0\text{ mA}\)).
(ii) The potential difference \(V_{\text{thermistor}}\) across the thermistor is: \(V_{\text{thermistor}} = I \times R_{\text{thermistor}} = 0.0030\text{ A} \times 800\ \Omega = 2.4\text{ V}\). Alternatively, using the potential divider formula: \(V_{\text{thermistor}} = V_{\text{supply}} \times \left(\frac{R_{\text{thermistor}}}{R_{\text{total}}}\right) = 6.0 \times \left(\frac{800}{2000}\right) = 2.4\text{ V}\).
(iii) As the temperature increases, the resistance of the thermistor decreases. Because the thermistor now has a smaller resistance relative to the fixed resistor, it takes a smaller fraction of the total power supply voltage. Therefore, the reading on the voltmeter connected across the thermistor decreases.
PastPaper.markingScheme
(a) [2 marks] - Work done / energy transferred (by a source) per unit charge [1] - Around a complete circuit / from non-electrical to electrical form [1]
(b) [2 marks] - Resistance changes (decreases) with temperature [1] - Allows change in current or potential difference to be detected/measured [1]
(c)(iii) [2 marks] - Voltmeter reading decreases [1] - Because thermistor resistance decreases relative to fixed resistor, taking a smaller share of the potential difference [1]
PastPaper.question 4 · structuredTheory
10 PastPaper.marks
Plants respond to environmental stimuli to optimize their growth and survival.
(a) Define the term *gravitropism*. [2]
(b) Explain how auxin controls the phototropic response in plant shoots when light shines from one side. [4]
(c) A young seedling is placed horizontally in a dark box. (i) Predict the direction of growth of the shoot and the root. [2] (ii) Explain the biological advantage to the plant of the response shown by the root. [2]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) Gravitropism is a response in which a plant grows towards or away from gravity (the stimulus of gravity).
(b) Auxin is a plant hormone produced in the tip of the shoot. It diffuses downwards through the shoot. When light shines from one side, auxin moves / redistributes away from the light, accumulating on the shaded side of the shoot. The higher concentration of auxin on the shaded side stimulates greater cell elongation there compared to the lit side. This unequal growth causes the shoot to bend towards the light source.
(c) (i) The shoot will grow upwards (negatively gravitropic response) and the root will grow downwards (positively gravitropic response). (ii) The root grows downwards deep into the soil. This provides physical anchorage to hold the plant firmly in the ground, and allows the root to access water and essential dissolved mineral ions (like nitrates) in the soil.
PastPaper.markingScheme
(a) [2 marks] - A growth response / growing [1] - Towards or away from gravity / response to gravity [1]
(b) [4 marks] - Auxin is produced in the shoot tip and diffuses down [1] - Auxin accumulates / moves to the shaded side of the shoot [1] - Auxin stimulates cell elongation (on the shaded side) [1] - Shaded side grows faster than the lit side, causing the shoot to bend towards the light [1]
(c)(ii) [2 marks] - Anchors the plant in the soil [1] - To absorb water / mineral ions [1]
PastPaper.question 5 · structuredTheory
10 PastPaper.marks
Calcium carbonate decomposes when heated strongly.
(a) Write a balanced chemical equation, including state symbols, for the thermal decomposition of calcium carbonate. [3]
(b) Calculate the mass of calcium oxide (\(\text{CaO}\)) that can be produced from the complete thermal decomposition of \(25.0\text{ g}\) of calcium carbonate. [Relative atomic masses: \(A_r\): \(\text{Ca} = 40\), \(\text{C} = 12\), \(\text{O} = 16\)] [4]
(c) A student carried out this reaction in the laboratory and obtained \(11.2\text{ g}\) of calcium oxide. (i) Calculate the percentage yield of calcium oxide for this experiment. [2] (ii) Suggest one practical reason why the actual yield was less than the theoretical yield calculated in (b). [1]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) The balanced equation is: \(\text{CaCO}_3(\text{s}) \rightarrow \text{CaO}(\text{s}) + \text{CO}_2(\text{g})\)
(b) Step 1: Calculate the relative formula mass (\(M_r\)) of \(\text{CaCO}_3\): \(M_r(\text{CaCO}_3) = 40 + 12 + (3 \times 16) = 100\).
Step 2: Calculate the number of moles of \(\text{CaCO}_3\) in \(25.0\text{ g}\): \(\text{Moles of CaCO}_3 = \frac{25.0\text{ g}}{100\text{ g/mol}} = 0.250\text{ mol}\).
Step 3: Determine the moles of \(\text{CaO}\) produced. From the balanced equation, \(1\text{ mol}\) of \(\text{CaCO}_3\) produces \(1\text{ mol}\) of \(\text{CaO}\). Thus, \(0.250\text{ mol}\) of \(\text{CaCO}_3\) produces \(0.250\text{ mol}\) of \(\text{CaO}\).
Step 4: Calculate the mass of \(\text{CaO}\): \(M_r(\text{CaO}) = 40 + 16 = 56\). \(\text{Mass of CaO} = 0.250\text{ mol} \times 56\text{ g/mol} = 14.0\text{ g}\).
(ii) Any valid scientific reason, such as: the reaction was incomplete (insufficient heating); some calcium oxide was lost when transferring it from the crucible; or the starting calcium carbonate was impure.
PastPaper.markingScheme
(a) [3 marks] - Correct formulae for reactants and products: \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\) [1] - Correct balancing (equation is already balanced 1:1:1) [1] - Correct state symbols: \((\text{s})\), \((\text{s})\), \((\text{g})\) [1]
(b) [4 marks] - Calculates \(M_r\) of \(\text{CaCO}_3 = 100\) and \(\text{CaO} = 56\) [1] - Calculates moles of \(\text{CaCO}_3 = 25.0 / 100 = 0.250\text{ mol}\) [1] - Recognises 1:1 mole ratio so moles of \(\text{CaO} = 0.250\text{ mol}\) [1] - Calculates mass of \(\text{CaO} = 0.250 \times 56 = 14.0\text{ g}\) [1]
(c)(i) [2 marks] - Correct formula for percentage yield: (actual / theoretical) x 100 [1] - Calculates \((11.2 / 14.0) \times 100 = 80.0\%\) [1]
(c)(ii) [1 mark] - Incomplete reaction / some product lost during transfer / impurities in the starting material [1]
PastPaper.question 6 · structuredTheory
10 PastPaper.marks
In a small-scale hydroelectric system, water falls from a reservoir through a vertical height of \(24\text{ m}\) onto a turbine at a rate of \(15\text{ kg}\) every second.
(a) Calculate the gravitational potential energy lost by \(15\text{ kg}\) of water as it falls through \(24\text{ m}\). [Use \(g = 9.8\text{ m/s}^2\)] [3]
(b) State the theoretical maximum kinetic energy of this water just before it hits the turbine, assuming air resistance is negligible. [1]
(c) The turbine drives a generator. The useful electrical power output from the generator is \(2.8\text{ kW}\). (i) Show that the input power to the turbine from the falling water is approximately \(3.5\text{ kW}\). [2] (ii) Calculate the efficiency of the generator system. [3] (iii) State the main form of energy into which the lost energy is dissipated during this process. [1]
(b) Due to conservation of energy, the maximum kinetic energy gained is equal to the gravitational potential energy lost. Therefore, the maximum kinetic energy is \(3528\text{ J}\).
(c) (i) Power is energy transferred per second: \(\text{Power} = \frac{\text{Energy}}{\text{time}} = \frac{3528\text{ J}}{1.0\text{ s}} = 3528\text{ W}\). Dividing by 1000 to convert to kilowatts: \(3528\text{ W} = 3.528\text{ kW} \approx 3.5\text{ kW}\).
(ii) \(\text{Efficiency} = \frac{\text{Useful power output}}{\text{Total power input}} \times 100\) \(\text{Efficiency} = \frac{2.8\text{ kW}}{3.528\text{ kW}} \times 100 = 79.36\% \approx 79.4\%\) (or \(79.3\%\) if using \(3.53\text{ kW}\)).
(iii) The lost energy is dissipated as thermal energy (heat) due to friction in the bearings/turbine/generator, or as sound.
PastPaper.markingScheme
(a) [3 marks] - Formula: G.P.E. = mgh [1] - Correct substitution: 15 x 9.8 x 24 [1] - Answer: 3528 J (allow 3500 J if g=10 m/s^2 is used) [1]
(b) [1 mark] - State same value as in (a) / 3528 J [1]
(c)(i) [2 marks] - Recognises that 15 kg of water falls each second, so input power = 3528 J/s = 3528 W [1] - Divides by 1000 to show 3.5 kW (3.528 kW) [1]
(c)(ii) [3 marks] - Correct formula: Efficiency = (Useful power output / Total power input) x 100 [1] - Correct substitution: (2.8 / 3.528) x 100 [1] - Answer: 79% or 79.4% [1] (Accept 80% if 3.5 kW is used in calculation)
Amylase is an enzyme involved in the digestion of starch.
(a) State one organ in the human digestive system where amylase is produced, and state the organ where it acts on starch. [2]
(b) Explain, in terms of the lock-and-key hypothesis, how amylase breaks down starch. [4]
(c) An experiment was performed to investigate the effect of pH on the rate of starch digestion by amylase. The optimum pH of the amylase was found to be 7.0. Explain, in terms of protein structure and active sites, why the activity of amylase decreases to zero when the pH is lowered to 2.0. [4]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) Amylase is produced in the salivary glands (or the pancreas) and acts in the mouth cavity (or the small intestine/duodenum).
(b) In the lock-and-key hypothesis, the enzyme amylase acts as the 'lock' and the starch molecule acts as the 'key'. Starch has a specific shape that is complementary to the shape of the active site of the amylase enzyme. The starch molecule binds to the active site of amylase to form an enzyme-substrate complex. The enzyme then catalyses the breakdown of the starch polymer into maltose molecules (products), which are released from the active site.
(c) Amylase is a protein. At a very low pH of 2.0 (highly acidic environment), the excess of hydrogen ions breaks the bonds holding the protein's specific three-dimensional structure together. This denatures the enzyme, permanently changing the shape of its active site. As a result, the starch substrate can no longer fit into the active site, meaning no enzyme-substrate complexes can form, and the reaction stops.
PastPaper.markingScheme
(a) [2 marks] - Correct organ where produced: salivary glands OR pancreas [1] - Correct organ where it acts: mouth OR small intestine / duodenum (must match production site correctly: salivary glands -> mouth; pancreas -> small intestine) [1]
(b) [4 marks] - Starch is the substrate and amylase is the enzyme [1] - The substrate shape is complementary to the shape of the active site [1] - Substrate binds to the active site to form an enzyme-substrate complex [1] - Reaction occurs, producing maltose, which is released [1]
(c) [4 marks] - Highly acidic pH / pH 2.0 denatures the enzyme [1] - Denaturation changes the shape of the protein/active site [1] - The active site is no longer complementary to the substrate / starch cannot bind [1] - No enzyme-substrate complexes can form, so rate decreases to zero [1]
PastPaper.question 8 · structuredTheory
10 PastPaper.marks
The electrolysis of concentrated aqueous sodium chloride (brine) is an industrial process used to manufacture useful chemicals.
(a) State the names of the two elements produced as gases during this electrolysis. Identify which gas is produced at the anode and which is produced at the cathode. [2]
(b) Write the ionic half-equations, including electrons (\(\text{e}^-\)), for the reactions occurring at: (i) the anode (positive electrode) [2] (ii) the cathode (negative electrode) [2]
(c) Explain why the remaining solution becomes alkaline as the electrolysis proceeds. [2]
(d) State one major commercial use for each of the two gases produced. [2]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) The gas produced at the anode (positive electrode) is chlorine (\(\text{Cl}_2\)). The gas produced at the cathode (negative electrode) is hydrogen (\(\text{H}_2\)).
(b) (i) At the anode, chloride ions are oxidised to form chlorine gas: \(2\text{Cl}^-(\text{aq}) \rightarrow \text{Cl}_2(\text{g}) + 2\text{e}^-\) (ii) At the cathode, hydrogen ions (from water) are reduced to form hydrogen gas: \(2\text{H}^+(\text{aq}) + 2\text{e}^- \rightarrow \text{H}_2(\text{g})\) (or \(2\text{H}_2\text{O}(\text{l}) + 2\text{e}^- \rightarrow \text{H}_2(\text{g}) + 2\text{OH}^-(\text{aq})\)).
(c) Water contains \(H^+\) and \(OH^-\) ions, and brine contains \(Na^+\) and \(Cl^-\) ions. As \(H^+\) and \(Cl^-\) ions are discharged and removed as gases, \(Na^+\) and \(OH^-\) ions are left behind in the solution. This increases the concentration of hydroxide ions (\(OH^-\)), forming sodium hydroxide solution, which is strongly alkaline.
(d) - Chlorine: Used for water purification (killing bacteria) or in the manufacture of bleach / PVC. - Hydrogen: Used in the Haber process to manufacture ammonia, or for hardening vegetable oils to make margarine, or as a clean rocket fuel.
PastPaper.markingScheme
(a) [2 marks] - Anode product: chlorine AND Cathode product: hydrogen [1] - Correctly matched to anode and cathode [1]
(c) [2 marks] - Identifies that \(\text{H}^+\) and \(\text{Cl}^-\) are removed from the solution [1] - Leaves \(\text{Na}^+\) and \(\text{OH}^-\)/sodium hydroxide in the solution, which contains basic/alkaline hydroxide ions [1]
(d) [2 marks] - One valid use of chlorine: water sterilization/treatment, making PVC, bleach [1] - One valid use of hydrogen: making ammonia/Haber process, margarine production, fuel [1]
PastPaper.question 9 · structuredTheory
10 PastPaper.marks
Propene and propane are organic compounds. (a) Alkanes and alkenes are both hydrocarbons. (i) Define the term hydrocarbon. [1] (ii) State the general formula for alkenes. [1] (b) Propene, \(C_3H_6\), is an unsaturated hydrocarbon. (i) State what is meant by the term unsaturated in this context. [1] (ii) Describe a chemical test to distinguish between propene and propane. Include the reagent and the expected observations for both compounds. [2] (c) Propene can be polymerised to form poly(propene). (i) State the type of polymerisation that occurs. [1] (ii) Draw a diagram to show the structure of poly(propene) showing two repeat units. [2] (d) Propene can be produced by cracking larger alkanes, such as decane, \(C_{10}H_{22}\). Write a balanced chemical equation for the cracking of decane to form one molecule of propene and one other alkane molecule. [2]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a)(i) A hydrocarbon is defined as a compound consisting of hydrogen and carbon atoms only. (ii) The general formula for all alkenes is \(C_nH_{2n}\). (b)(i) The term unsaturated means that there is at least one carbon-to-carbon double bond (\(C=C\)) in the molecule. (ii) Add aqueous bromine (bromine water). Propene will decolourise the orange solution to colourless. Propane will not react, so the solution remains orange. (c)(i) Propene undergoes addition polymerisation because it is an alkene with a double bond. (ii) The structure of poly(propene) with two repeat units consists of a backbone of four single-bonded carbon atoms: \(-(CH_2-CH(CH_3)-CH_2-CH(CH_3))-\). (d) The balanced equation for cracking decane is: \(C_{10}H_{22} \rightarrow C_3H_6 + C_7H_{16}\).
PastPaper.markingScheme
(a)(i) Contains hydrogen and carbon only [1]. (a)(ii) \(C_nH_{2n}\) [1]. (b)(i) Contains carbon-carbon double bond(s) / \(C=C\) [1]. (b)(ii) Reagent: Bromine water / aqueous bromine [1]; Observation: turns colourless with propene AND remains orange/no change with propane [1]. (c)(i) Addition (polymerisation) [1]. (c)(ii) Correct single-bonded carbon backbone with 4 carbon atoms with open-ended bonds [1]; Correct alternating side groups (H and \(CH_3\)) [1]. (d) Correct formulae of reactants and products: \(C_{10}H_{22}\), \(C_3H_6\), and \(C_7H_{16}\) [1]; Correct balanced equation [1].
PastPaper.question 10 · structuredTheory
10 PastPaper.marks
An electrical circuit is constructed containing a 12.0 V d.c. power supply, a resistor \(R_1 = 4.0\ \Omega\), and a parallel combination of two resistors, \(R_2 = 6.0\ \Omega\) and \(R_3 = 3.0\ \Omega\). Resistor \(R_1\) is connected in series with the parallel combination. (a) Calculate the combined resistance of the parallel combination of \(R_2\) and \(R_3\). [2] (b) Show that the total resistance of the entire circuit is 6.0 \(\Omega\). [1] (c) Calculate the total current flowing from the power supply. [2] (d) Calculate the electrical power dissipated by resistor \(R_1\). [2] (e) Calculate the charge passing through resistor \(R_1\) in a time of 5.0 minutes. State the unit of your answer. [3]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) Using the parallel resistor formula: \(1/R_p = 1/R_2 + 1/R_3 = 1/6.0 + 1/3.0 = 3/6.0 = 1/2.0\), so \(R_p = 2.0\ \Omega\). (b) Since \(R_1\) is in series with the parallel combination: \(R_{\text{total}} = R_1 + R_p = 4.0 + 2.0 = 6.0\ \Omega\). (c) Using Ohm's Law: \(I = V / R_{\text{total}} = 12.0 / 6.0 = 2.0\ \text{A}\). (d) The power is given by: \(P = I^2 \times R_1 = (2.0)^2 \times 4.0 = 16\ \text{W}\). (e) Time in seconds is \(5.0 \times 60 = 300\ \text{s}\). Charge \(Q = I \times t = 2.0\ \text{A} \times 300\ \text{s} = 600\ \text{C}\).
PastPaper.markingScheme
(a) Use of parallel formula [1]; correct calculation to give \(2.0\ \Omega\) [1]. (b) Addition of series resistor: \(4.0 + 2.0 = 6.0\ \Omega\) [1]. (c) Formula \(I = V/R\) [1]; calculation to give \(2.0\ \text{A}\) [1]. (d) Formula \(P = I^2 R\) or \(P = V I\) [1]; calculation to give \(16\ \text{W}\) [1]. (e) Conversion of time to 300 seconds [1]; formula \(Q = I \times t\) and calculation of 600 [1]; correct unit \(\text{C}\) or Coulombs [1].
PastPaper.question 11 · structuredTheory
10 PastPaper.marks
An electric car of mass 1200 kg travels along a straight road. The motion of the car is described in three stages: Stage 1: It accelerates uniformly from rest to a speed of 24 m/s in 8.0 s. Stage 2: It travels at a constant speed of 24 m/s for 15 s. Stage 3: It decelerates uniformly to rest in a further 6.0 s. (a) Calculate the acceleration of the car during Stage 1. [2] (b) Calculate the total distance travelled by the car during all three stages. [3] (c) Calculate the kinetic energy of the car when it is travelling at its maximum speed. [2] (d) Calculate the average decelerating force acting on the car during Stage 3. [3]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) Acceleration \(a = (v - u)/t = (24 - 0)/8.0 = 3.0\ \text{m/s}^2\). (b) Total distance is the sum of areas: Stage 1 distance = \(0.5 \times 8.0 \times 24 = 96\ \text{m}\); Stage 2 distance = \(15 \times 24 = 360\ \text{m}\); Stage 3 distance = \(0.5 \times 6.0 \times 24 = 72\ \text{m}\). Total distance = \(96 + 360 + 72 = 528\ \text{m}\). (c) Kinetic energy \(E_k = 0.5 \times m \times v^2 = 0.5 \times 1200 \times 24^2 = 345600\ \text{J}\) (or \(345.6\ \text{kJ}\)). (d) Deceleration \(a = (0 - 24) / 6.0 = -4.0\ \text{m/s}^2\). Force \(F = m \times a = 1200 \times 4.0 = 4800\ \text{N}\).
PastPaper.markingScheme
(a) Formula \(a = \Delta v / t\) [1]; calculation to give \(3.0\ \text{m/s}^2\) [1]. (b) Correct calculation of individual stage distances [1]; summation method shown [1]; final answer \(528\ \text{m}\) [1]. (c) Formula \(E_k = 0.5 m v^2\) [1]; calculation to give \(345600\ \text{J}\) [1]. (d) Deceleration rate calculation \(4.0\ \text{m/s}^2\) [1]; formula \(F = ma\) [1]; calculation to give \(4800\ \text{N}\) [1].
PastPaper.question 12 · structuredTheory
10 PastPaper.marks
When a person accidentally touches a hot plate, they immediately withdraw their hand in an automatic response known as a reflex action. (a) State two characteristic features of all reflex actions. [2] (b) Describe the pathway of nerve impulses during this reflex action, from the point of stimulus detection in the skin to the final response. [4] (c) Coordination can also involve chemical messengers called hormones, such as adrenaline. State two different physical effects of adrenaline on the body and explain how each effect prepares the body for action. [4]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) Reflex actions are defined by two main characteristics: they are rapid (happen almost instantly) and they are involuntary/automatic (do not require conscious decision-making by the brain). (b) When the hot plate is touched, heat-sensitive receptor cells in the skin generate nerve impulses. These impulses travel along the sensory neurone into the spinal cord. In the spinal cord, the impulse crosses synapses to reach the relay neurone, and then crosses another synapse to the motor neurone. The motor neurone carries the impulse out of the spinal cord to the muscle in the arm (the effector). Upon receiving the impulse, the muscle contracts, pulling the hand away. (c) Two effects of adrenaline are: 1. Increased heart rate: This increases blood flow to the muscles, delivering more oxygen and glucose needed for aerobic respiration. 2. Increased breathing rate: This increases the rate at which oxygen enters the blood and carbon dioxide is cleared, supporting sustained muscular activity.
PastPaper.markingScheme
(a) Rapid / fast [1]; Involuntary / automatic [1]. (b) Stimulus detected by receptor which generates impulse [1]; Impulse travels along sensory neurone to spinal cord / CNS [1]; Impulse passes across synapses to relay neurone and motor neurone [1]; Motor neurone carries impulse to muscle which contracts [1]. (c) Award 2 marks for each of two distinct pairs of [effect + explanation]: Effect: Increased heart rate [1] + Explanation: supplies more oxygen/glucose to muscles for respiration [1]; Effect: Increased breathing rate / deeper breathing [1] + Explanation: increases oxygen uptake / carbon dioxide removal [1]; Effect: Glycogen converted to glucose in liver [1] + Explanation: increases blood glucose level for muscle respiration [1].
Paper 62 (Alternative to Practical)
Answer all questions. Use your knowledge of practical laboratory techniques, observations, and calculations.
7 PastPaper.question · 59.99 PastPaper.marks
PastPaper.question 1 · practicalAnalytical
8.57 PastPaper.marks
A student set up an apparatus to investigate the thermal cracking of liquid paraffin. Solid paraffin-soaked glass wool was placed at the bottom of a hard-glass test-tube. Pieces of broken porcelain (pottery) were placed in the middle of the tube to act as a catalyst. The tube was heated and the gas evolved was collected over water using a delivery tube.
(a) Name the active catalytic chemical component present in the broken porcelain catalyst. [1]
(b) At the end of the experiment, before stopping the heating, the delivery tube must be removed from the water bath. Explain the purpose of this practical step. [2]
(c) The gaseous product is collected and tested by bubbling it through a test-tube containing aqueous bromine. State the colour change observed in the aqueous bromine. [2]
(d) Name the type of reaction occurring between the gaseous product and the aqueous bromine, and describe the functional group present in the gaseous product. [2]
(e) State why it is important to perform a control experiment where uncracked liquid paraffin is mixed with aqueous bromine in the dark, and predict the observation for this control. [1.57]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) The active component in broken porcelain (pottery) is aluminum oxide (or silica / silicon dioxide).
(b) Removing the delivery tube prevents "suck-back" of cold water into the hot test-tube as it cools, which would cause the hot glass tube to crack.
(c) Aqueous bromine changes from orange/brown to colourless (decolourises) because unsaturated hydrocarbons (alkenes) are produced during cracking.
(d) The reaction is an addition reaction. The functional group present is a carbon-carbon double bond (\(C=C\)).
(e) The control shows that the reaction is specific to the cracked products (alkenes) and not the starting material (alkanes). The uncracked paraffin does not react in the dark, so the bromine water remains orange.
PastPaper.markingScheme
(a) 1 mark for aluminium oxide / alumina / silica / silicon dioxide. (b) 1 mark for preventing cold water from being sucked back; 1 mark for explaining that suck-back causes the hot glass tube to crack. (c) 1 mark for initial colour (orange / yellow / brown); 1 mark for final colour (colourless / decolourised). (d) 1 mark for addition reaction; 1 mark for carbon-carbon double bond / C=C. (e) 1 mark for stating that it confirms that uncracked alkanes do not react / only alkenes react; 0.57 marks for stating that the mixture remains orange/yellow.
PastPaper.question 2 · practicalAnalytical
8.57 PastPaper.marks
An experiment is carried out to compare the energy released when ethanol and propan-1-ol are burned. A student uses a simple copper calorimeter containing \(100\text{ g}\) of water suspended above a spirit burner containing the alcohol.
(a) The initial temperature of the water was \(22.0\ ^\circ\text{C}\). After burning ethanol, the final temperature shown on the thermometer is \(45.5\ ^\circ\text{C}\). Calculate the temperature rise, \(\Delta T\). [2]
(b) The spirit burner containing ethanol has a mass of \(52.34\text{ g}\) before combustion and \(51.74\text{ g}\) after combustion. Calculate the mass of ethanol burned. [1]
(c) Using the equation \(\text{Energy released} = m \times c \times \Delta T\) (where \(m = 100\text{ g}\) of water and \(c = 4.2\text{ J/g}^\circ\text{C}\)), calculate the energy transferred to the water. Hence, calculate the energy released per gram of ethanol burned. [3]
(d) State two reasons, based on the experimental setup, why this calculated value is much lower than the theoretical energy value for the combustion of ethanol. [2.57]
(b) Mass of ethanol burned = \(52.34\text{ g} - 51.74\text{ g} = 0.60\text{ g}\).
(c) Energy transferred = \(100\text{ g} \times 4.2\text{ J/g}^\circ\text{C} \times 23.5\ ^\circ\text{C} = 9870\text{ J}\). Energy released per gram = \(9870\text{ J} / 0.60\text{ g} = 16450\text{ J/g}\) (or \(16.45\text{ kJ/g}\)).
(d) Heat is lost directly to the surrounding air/draughts, and heat is absorbed by the copper calorimeter itself instead of the water. Additionally, incomplete combustion of ethanol occurs (indicated by soot).
PastPaper.markingScheme
(a) 1 mark for correct subtraction; 1 mark for final value of 23.5 with unit. (b) 1 mark for 0.60 g. (c) 1 mark for calculating energy as 9870 J; 1 mark for dividing energy by mass of fuel; 1 mark for final correct value of 16450 J/g (allow 16.5 kJ/g). (d) 1 mark for heat loss to surroundings / draughts; 1.57 marks for heat absorbed by the copper calorimeter / incomplete combustion (soot formation).
PastPaper.question 3 · practicalAnalytical
8.57 PastPaper.marks
A student is investigating how the resistance of a metallic wire changes with its length.
(a) Draw a circuit diagram showing how a cell, a switch, an ammeter, a voltmeter, and the resistance wire should be connected to measure the current through the wire and the potential difference across a length \(L\) of the wire. [3]
(b) For a wire length of \(L = 50.0\text{ cm}\), the current is \(0.40\text{ A}\) and the potential difference is \(1.80\text{ V}\). Calculate the resistance \(R\) of this wire length and state its unit. [2]
(c) Why should the switch be opened between taking consecutive readings? [1.57]
(d) Predict the resistance of a \(100.0\text{ cm}\) length of the same wire, and state the relationship between the length and the resistance of a wire. [2]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) The circuit diagram must show: the cell, switch, ammeter, and resistance wire in a single series loop. The voltmeter must be connected in parallel across the variable length \(L\) of the resistance wire.
(b) Resistance \(R = V / I = 1.80\text{ V} / 0.40\text{ A} = 4.5\ \Omega\).
(c) Opening the switch prevents current from flowing continuously, which keeps the wire from heating up. Heating changes the resistance of the wire, which would make the test unfair.
(d) When the length is doubled to \(100.0\text{ cm}\), the resistance will double to \(9.0\ \Omega\). This is because resistance is directly proportional to length.
PastPaper.markingScheme
(a) 1 mark for ammeter, cell, and switch in series with the test wire; 1 mark for voltmeter in parallel across the wire; 1 mark for correct circuit symbols. (b) 1 mark for calculation (4.5); 1 mark for correct unit (\(\Omega\) or ohms). (c) 1.57 marks for explaining that it prevents the wire from heating up / keeping temperature constant to ensure resistance values remain constant. (d) 1 mark for resistance value of 9.0 (allow ecf from b); 1 mark for stating that resistance is directly proportional to length.
PastPaper.question 4 · practicalAnalytical
8.57 PastPaper.marks
A student investigates the combined resistance of two identical resistors, \(R_1\) and \(R_2\), connected in series and then in parallel.
(a) Draw a circuit diagram showing the parallel combination of the two resistors connected in a complete circuit with a battery and an ammeter. [1.57]
(b) When connected in series, the voltage across the combination is \(4.5\text{ V}\) and the current is \(0.15\text{ A}\). Calculate the combined series resistance, \(R_{\text{series}}\). [2]
(c) When connected in parallel, the voltage across the combination is \(4.5\text{ V}\) and the current is \(0.60\text{ A}\). Calculate the combined parallel resistance, \(R_{\text{parallel}}\). [2]
(d) Theory states that \(R_{\text{series}} = 4 \times R_{\text{parallel}}\) for two identical resistors. State whether the student's results support this statement. Justify your answer using the calculated resistance values. [3]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) The diagram should show two parallel branches, each containing one resistor, connected to a battery and an ammeter in series with the parallel combination.
(b) \(R_{\text{series}} = V / I = 4.5\text{ V} / 0.15\text{ A} = 30\ \Omega\).
(c) \(R_{\text{parallel}} = V / I = 4.5\text{ V} / 0.60\text{ A} = 7.5\ \Omega\).
(d) Yes, the results support the theory. Since \(R_{\text{series}} = 30\ \Omega\) and \(4 \times R_{\text{parallel}} = 4 \times 7.5\ \Omega = 30\ \Omega\), they are exactly equal.
PastPaper.markingScheme
(a) 1.57 marks for a correct circuit showing two resistors in parallel connected to a battery and series ammeter. (b) 1 mark for correct calculation formula/working; 1 mark for 30 with unit \(\Omega\). (c) 1 mark for correct calculation working; 1 mark for 7.5 with unit \(\Omega\). (d) 1 mark for stating 'yes' (or support); 2 marks for demonstrating the quantitative relation (e.g., showing that 30 is indeed equal to 4 times 7.5).
PastPaper.question 5 · practicalAnalytical
8.57 PastPaper.marks
A student performs an experiment to investigate Hooke's Law for a helical spring.
(a) Describe how the student can measure the extension of the spring accurately, explaining how to avoid parallax error. [2.57]
(b) The length of the unstretched spring is \(6.2\text{ cm\}}. With a load of \)3.0\text{ N}\) attached, the length is \(9.8\text{ cm}\). Calculate the extension \(e\) of the spring. [1]
(c) With a load of \(6.0\text{ N}\) attached, the length of the spring becomes \(13.4\text{ cm}\). Calculate the extension for this load, and use the equation \(k = \frac{F}{e}\) to calculate the spring constant, \(k\). [3]
(d) Explain how a graph of force against extension would indicate if the spring has exceeded its limit of proportionality. [2]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) To measure the extension accurately, the student should clamp a meter rule vertically close to the spring. To avoid parallax error, the student must view the scale horizontally, keeping their line of sight perpendicular to the pointer at the bottom of the spring.
(c) Extension at \(6.0\text{ N} = 13.4\text{ cm} - 6.2\text{ cm} = 7.2\text{ cm}\). Spring constant \(k = F / e = 6.0\text{ N} / 7.2\text{ cm} = 0.83\text{ N/cm}\) (or \(0.833\text{ N/cm}\)).
(d) The force-extension graph would start to curve (become non-linear) instead of continuing as a straight line passing through the origin.
PastPaper.markingScheme
(a) 1 mark for measuring length using a ruler; 1.57 marks for explaining that eye level must be perpendicular to the pointer / scale to prevent parallax error. (b) 1 mark for 3.6 cm. (c) 1 mark for finding extension of 7.2 cm; 1 mark for dividing 6.0 by 7.2; 1 mark for final value of 0.83 N/cm (or 0.833 N/cm). (d) 2 marks for stating that the line is no longer straight / begins to curve / does not show linear correlation.
PastPaper.question 6 · practicalAnalytical
8.57 PastPaper.marks
A student conducts a moments experiment to find the mass of a uniform meter rule.
(a) The pivot is placed at the \(40.0\text{ cm}\) mark on the rule. A \(100\text{ g}\) mass is suspended from the rule and its position adjusted until the rule balances horizontally. The center of mass of the meter rule is at the \(50.0\text{ cm}\) mark. If the \(100\text{ g}\) mass is suspended at the \(22.0\text{ cm}\) mark, calculate the distance \(d_1\) from the pivot to the mass. [1.57]
(b) State the distance \(d_2\) from the pivot to the center of mass of the meter rule. [1]
(c) Use the principle of moments (\(m \times d_1 = M \times d_2\), where \(m = 100\text{ g}\) and \(M\) is the mass of the meter rule) to calculate the mass of the meter rule. [3]
(d) Describe a practical difficulty when balancing a rule on a pivot and how the student could ensure their balance point is as accurate as possible. [3]
(c) According to the principle of moments: \(100\text{ g} \times 18.0\text{ cm} = M \times 10.0\text{ cm}\) \(M = 1800 / 10.0 = 180\text{ g}\).
(d) Difficulty: The meter rule can easily slide or wobble on the pivot, making it hard to find the precise balance point. Alternatively, the thread loop has a width which makes reading difficult. To overcome this, the student can record the position where the rule just tips to the left, and the position where it just tips to the right, and calculate the average (mean) of these two positions.
PastPaper.markingScheme
(a) 1.57 marks for 18.0 cm. (b) 1 mark for 10.0 cm. (c) 1 mark for principle of moments equation; 1 mark for substitution; 1 mark for final mass of 180 g. (d) 1 mark for stating a valid difficulty (e.g. rule slipping, friction at pivot, or width of thread); 2 marks for a suitable improvement (e.g. finding tipping points in both directions and finding the average, or using a knife-edge pivot).
PastPaper.question 7 · practicalAnalytical
8.57 PastPaper.marks
A student investigates the effect of pH on the rate of starch digestion by the enzyme amylase.
(a) State the name of the chemical reagent used to test for starch, and describe the colour change when starch is fully digested. [2.57]
(b) The student records the time taken for starch to be completely broken down at three different pH levels: - At pH 5, the time taken is \(200\text{ s}\). - At pH 7, the time taken is \(80\text{ s}\). - At pH 9, the time taken is \(400\text{ s}\).
Calculate the rate of reaction for each pH, using the formula \(\text{Rate} = \frac{1000}{\text{time}}\). Give your answers to 1 decimal place. [3]
(c) Determine which pH is closest to the optimum pH of amylase based on these rates, and explain your reasoning. [2]
(d) State one variable, other than concentration of amylase and starch, that must be kept constant, and state how this is achieved. [1]
PastPaper.showAnswersPastPaper.hideAnswers
PastPaper.workedSolution
(a) Iodine solution is used. When starch is fully digested, the colour remains orange-brown (the colour of the iodine reagent) and does not turn blue-black.
(c) pH 7 is closest to the optimum pH because it has the highest rate of reaction (12.5), meaning starch was digested in the shortest time.
(d) Temperature must be kept constant. This is achieved by placing all the test-tubes in a thermostatically controlled water bath.
PastPaper.markingScheme
(a) 1 mark for iodine solution; 1.57 marks for stating the colour change (from blue-black when starch is present to orange-brown/yellow of iodine when digested). (b) 1 mark for pH 5 rate (5.0); 1 mark for pH 7 rate (12.5); 1 mark for pH 9 rate (2.5). (c) 1 mark for selecting pH 7; 1 mark for explanation (highest rate of reaction / shortest time taken). (d) 1 mark for temperature (or volume of starch/amylase mixture) AND keeping constant using water bath (or measuring cylinder/pipette).