解題
(a) The student is measuring the time taken for the pin to drop off each rod, so this time is the dependent variable. (b)(i) Since a shorter time for the pin to drop indicates that heat has travelled along the rod more quickly, meaning the material is a better conductor, the ranking from best to worst conductor of heat is: copper (18 s, best conductor), aluminium (25 s), glass (340 s), and wood (did not drop within 10 minutes, the worst conductor/best insulator of the four). (ii) Metals such as copper and aluminium contain free (delocalised) electrons, which are not held in fixed positions but are free to move throughout the metal's structure. When one end of a metal rod is heated, these free electrons gain kinetic energy and move rapidly through the metal, carrying this energy quickly from the hot end to the cooler end, in addition to the slower transfer of energy by vibrating particles passing energy to their neighbours through collisions. Glass and wood do not have these free-moving electrons; they can only transfer heat through the much slower process of particles vibrating and passing energy to neighbouring particles by collision, without the additional, much faster mechanism of moving free electrons. This is why metals like copper and aluminium conduct heat far more effectively than glass or wood. (c) Wax has a known, relatively low, and fixed melting point, so it will reliably melt at a specific, consistent temperature as heat travels along the rod, giving a clear, reproducible signal (the pin dropping off, as the wax holding it melts) that can be timed consistently and fairly compared between the different rods. If the pin were attached using glue instead, the glue would not necessarily melt or release the pin at a specific, consistent temperature in the same reliable way, so there would be no clear, comparable point at which to measure the time for each material, making the comparison between rods unreliable. (d) To make this a fair test, the student should control other variables that could otherwise affect how quickly heat travels along a rod, such as the length and diameter (cross-sectional area) of each rod (ensuring they really are equal, as stated), the amount and thickness of wax used to attach each pin, the temperature of the hot water source used to heat each rod, and the position or method used to apply the heat. Any two valid variables are acceptable. (e) The reliability of the comparison could be improved by repeating the test for each material more than once (for example, three times) and calculating a mean time for the pin to drop for each material; this would reduce the effect of any one anomalous result (for example, caused by uneven heating) on the overall comparison between materials. (f) Materials with low thermal conductivity (good insulators) are used in many everyday applications, such as loft or wall insulation in houses (to reduce heat loss), a woolly jumper (to keep a person warm by reducing heat loss from their body), or oven gloves (to protect hands from hot cookware). (g) Metal is an excellent conductor of heat. If a saucepan handle were made of metal, heat from the hot pan (and the hob) would be conducted very quickly and efficiently along the handle to wherever a person is holding it, causing a serious and potentially rapid burn. A wooden or plastic handle, by contrast, is a poor conductor of heat (a good insulator), so it conducts much less heat from the hot pan to the person's hand, staying much cooler and making it far safer to hold while cooking. Final answer: (a) time taken for the pin to drop off; (b) copper, aluminium, glass, wood, from best to worst conductor, since free (delocalised) electrons in metals transfer heat quickly, unlike in glass/wood; (c) wax melts at a known, consistent temperature, giving a fair, reproducible measurement point, unlike glue; (d) any two of rod length/diameter, amount of wax, water temperature, or heating method; (e) repeat and calculate a mean for each material; (f) any valid insulating application, e.g. loft insulation; (g) metal conducts heat quickly to the hand, causing burns, while wood/plastic conducts heat much more slowly, staying cooler and safer to hold.
評分準則
(a) [1] time taken for the pin to drop off. (b)(i) [2] fully correct order (copper, aluminium, glass, wood); [1] if only partially correct. (ii) [1] metals contain free/delocalised electrons; [1] these carry kinetic energy quickly through the metal; [1] glass/wood lack free electrons, relying only on (slower) particle vibration/collision to transfer heat. (c) [1] wax has a known, consistent, relatively low melting point, giving a clear, reproducible measurement point; [1] correctly contrasts this with glue, which would not give a consistent, comparable release point. (d) [1] each for two valid controlled variables (e.g. rod length/diameter, amount of wax, water temperature, heating method), up to [2]. (e) [1] valid improvement (e.g. repeat and calculate a mean); [1] correct reasoning (reduces the effect of anomalous results). (f) [1] any valid everyday application of a good insulator. (g) [1] metal conducts heat quickly, causing a burn; [1] wood/plastic is a poor conductor, staying cooler and safer to hold.