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An Ideal Carnot Refrigerator Powered from an Electrical Outlet Takes 0.0C0.0 ^ { \circ } \mathrm { C }

Question 75

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An ideal Carnot refrigerator powered from an electrical outlet takes heat from water at 0.0C0.0 ^ { \circ } \mathrm { C } and rejects heat to a room at 20.0C20.0 ^ { \circ } \mathrm { C } . How much electrical energy must be supplied to the refrigerator so it will convert 78 g78 \mathrm {~g} of water at 0.0C0.0 ^ { \circ } \mathrm { C } to ice at 0.0C0.0 ^ { \circ } \mathrm { C } . The latent heat of fusion of water is 3.34×105 J/kg3.34 \times 10 ^ { 5 } \mathrm {~J} / \mathrm { kg } .

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