The efficiency of a Carnot heat engine operating between absolute temperatures T1 and T2 (when, T1 > T2) is given by (T1 - T2)/T1. The co-efficient of performance (C.O.P.) of a Carnot heat pump operating between T1 and T2 is given by__________________?

Correct answer: D. T1/(T1-T2)

  • A. T2/R1
  • B. T2/(T1-T2)
  • C. T1/T2
  • D. T1/(T1-T2)

Explanation

A Carnot heat pump delivers heat Q1 to the high-temperature reservoir, and its work input is Q1 − Q2. Using Q1/Q2 = T1/T2 gives COP = Q1/(Q1−Q2) = T1/(T1−T2).

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