Question: For a heat pump that operates on a Carnot cycle, calculate (a) the coefficient of performance of cooling when the pump is used to cool

For a heat pump that operates on a Carnot cycle, calculate (a) the coefficient of performance of cooling when the pump is used to cool a house to $72{ }^{\circ} \mathrm{F}$ on a day when the outside air is at $105^{\circ} \mathrm{F}$ and $(b)$ the coefficient of performance of heating when the pump is used to heat a house to $72^{\circ} \mathrm{F}$ on a day when the outside air is at $-15^{\circ} \mathrm{F}$.

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