Coefficient Of Performance

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SHOPPER'S DELIGHT

It can be shown that

rac{Q_{hot}}{T_{hot}}=rac{Q_{cold}}{T_{cold}}

and

Q_{cold}=rac{Q_{hot}T_{cold}}{T_{hot}}

, where

T_{hot}

and

T_{cold}

are the temperatures of the hot and cold heat reservoirs respectively.

Hence,

COP_{heating}=rac{T_{hot}}{T_{hot}-T_{cold}}

Similarly,

COP_{cooling}=rac{Q_{cold}}{Q_{hot}-Q_{cold}} =rac{T_{cold}}{T_{hot}-T_{cold}}

It can also be shown that

COP_{cooling}=COP_{heating}-1

COP_{heating}

applies to heat pumps and

COP_{cooling}

applies to air conditioners or refrigerators. For heat engines, see Efficiency .