Question:
The efficiency of a reversible heat engine working between two temperatures is 50\%. The coefficient of performance of a refrigerator working between the same two temperatures but in reverse direction is:
The efficiency of a reversible heat engine working between two temperatures is 50\%. The coefficient of performance of a refrigerator working between the same two temperatures but in reverse direction is:
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COP of a refrigerator is the inverse of the efficiency difference of a heat engine operating between the same temperatures.
Updated On: Mar 11, 2025
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The Correct Option is A
Solution and Explanation
The efficiency of a heat engine is:
\[
\eta = \frac{T_H - T_C}{T_H} = 0.5
\]
\[
\frac{T_H - T_C}{T_H} = \frac{1}{2}
\]
\[
T_H - T_C = \frac{T_H}{2}
\]
\[
T_H = 2T_C
\]
The coefficient of performance (COP) of a refrigerator is given by:
\[
COP = \frac{T_C}{T_H - T_C}
\]
\[
COP = \frac{T_C}{T_H - T_C} = \frac{T_C}{T_C} = 1
\]
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