An engine operates between a hot reservoir at and a cold reservoir at

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

An engine operates between a hot reservoir at 600 K600\,\text{K} and a cold reservoir at 300 K300\,\text{K}. An inventor claims it delivers an efficiency of 70%70\%. Which statement is correct regarding this claim? (a) The claim is possible because 70%70\% is less than the theoretical efficiency Th−TcTc\displaystyle \frac{T_h-T_c}{T_c} for these temperatures. (b) The claim is impossible because 70%70\% exceeds the maximum Carnot efficiency for these temperatures. (c) The claim is possible because efficiency depends only on the temperature difference, and ΔT=300 K\Delta T = 300\,\text{K} is large enough to allow 70%70\%. (d) The claim is impossible because efficiency cannot exceed 50%50\% for any heat engine regardless of temperatures.

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