Discussion
A reversed Carnot cycle works between 260 and 300 kelvin. What is the highest coefficient of performance it could achieve as a refrigerator?
Answer: C
Correct answer: 6.5
\[ \mathrm{COP}_{max} = \frac{T_C}{T_H-T_C} = \frac{260}{300-260} = \frac{260}{40} = 6.5. \] The 7.5 offered uses the hot temperature in the numerator, which is the heat pump figure - and the two differ by exactly one, since a heat pump delivers the heat pumped plus the work put in.
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