An electric heat pump that operates on a Carnot cycle is used to cool a house interior

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An electric heat pump that operates on a Carnot cycle is used to cool a house interior to \(20^{\circ} \mathrm{C}\) on a day when the outside temperature is \(38^{\circ} \mathrm{C}\).

(a) For every \(1.0 \mathrm{~J}\) of electrical energy used, what quantity of thermal energy is removed from the house?

(b) What is the pump's coefficient of performance of cooling?

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