# Question: An ideal heat pump is equivalent to a Carnot engine

An ideal heat pump is equivalent to a Carnot engine running in reverse.

(a) Show that the Carnot COP of the heat pump is COPC = 1/εC where εC is the Carnot efficiency of the heat engine.

(b) If a Carnot engine has an efficiency of 40%, what would be the COPC when it runs in reverse as a heat pump?

(a) Show that the Carnot COP of the heat pump is COPC = 1/εC where εC is the Carnot efficiency of the heat engine.

(b) If a Carnot engine has an efficiency of 40%, what would be the COPC when it runs in reverse as a heat pump?

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