A Carnot refrigerator is used to keep a food compartment at (-2^{circ} mathrm{C}). Heat is rejected from

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A Carnot refrigerator is used to keep a food compartment at \(-2^{\circ} \mathrm{C}\). Heat is rejected from the compartment to a room at \(35^{\circ} \mathrm{C}\). If \(40 \mathrm{~kW}\) heat is removed, determine

(a) The coefficient of performance of the cycle

(b) The power required

(c) The rate of heat rejection to the room.

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