A Carnot refrigerator used for air-conditioning operates between a low temperature of (5^{circ} mathrm{C}) and a high

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A Carnot refrigerator used for air-conditioning operates between a low temperature of \(5^{\circ} \mathrm{C}\) and a high temperature of \(45^{\circ} \mathrm{C}\). Now, if it is used for maintaining foodstuffs in a cold storage operating at a low temperature of \(-15^{\circ} \mathrm{C}\), and a high temperature of \(45^{\circ} \mathrm{C}\) as before, what percentage increase in work input would be required for the food refrigeration unit over the air-conditioning unit for producing the same quantity of cooling?

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