A Carnot heat pump works between 27° C and 327°C. What will be its COP?

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ESE Mechanical 2014 Official Paper - 1

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Answer 1

Concept:

F2 Sumit Madhu 10.08.20 D 2

\({\rm{COP\;of\;Carnot\;Heat\;pump}} = \frac{{{T_1}}}{{{T_1} - {T_2}}}\)

Calculation:

Given:

T₁ = 327° C = 600 K, T₂ = 27° C = 300 K

\(\therefore COP = \frac{{{T_1}}}{{{T_1} - {T_2}}}\)

\(\therefore COP = \frac{{600}}{{600 - 300}} = \frac{{600}}{{300}} = 2\)

∴ COP of Carnot heat pump = 2