Which of the following will result in the smallest rate of heat transfer?

Question

BlackTom AI · Accepted Answer

Consider the factors that influence the rate of heat transfer according to Fourier's law, Q = k A ΔT / L, where a larger temperature difference, larger area, or higher conductivity all tend to increase the rate, while a longer distance (thickness) reduces it.
Option a: The largest value of thermal conductivity. Increasing k increases Q because heat transfers more readily through a material with higher conductivity. So this would tend to raise, not lower, the rate.
Option b: The largest cross sectional area of the object. A bigger area provides more surface through which heat can flow, which increases the rate of heat transfer. Therefore, this option would also increase the rate, not decrease it.
Option c: The largest temperature difference between regions. A greater ΔT acts as a stronger driving force for heat flow, leading to a higher rate. Thus this choice would increase the rate rather than diminish it.
Option d: The largest distance that the heat travels. In a one-dimensional conduction scenario, the distance L in the denominator reduces the heat transfer rate when it increases. A longer path means heat has to travel through more material, which lowers the rate. This is the factor that would yield the smallest rate of heat transfer among the options.

Which of the following will result in the smallest rate of heat transfer?单项选择题

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