please help me with 7.2.3 with full explain,thank you so much Another reversible

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please help me with 7.2.3 with full explain,thank you so much

Another reversible path for the state change described in part is: (i) cool the gas reversibly, using a carnot engine which rejects heat to the reservoir, followed by, expand the volume isothermally to 2 liters. Calculate the work done on the system in this process and compared with your answer from part(a). A vessel contains water at T = 273.15 K. It is desired to freeze 1 kg of water, the latent heat of fusion being 334 kj kg-1. The heat rejected by the refrigerator goes to warm up a second vessel containing 1 kg of water, which is initially at the same temperature as the first. Determine the minimum amount of heat that the refrigerator must reject to the second vessel in this process. (The specific beat of water is 4.18 kJ K-1 kg-1.) Consider two bodies, x and y, of mass m and specific heat capacity c. They are brought to a common temperature by a reversible process, using a Carnot engine, as shown in fig. 7.7. Show that the final common temperature, Tz, for the bodies is

Explanation / Answer

Minimum amount of heat released to freeze 1kg of water at 273.15k =(mass of water)*(latent heat of fusion of water)

i.e., 1kg of water at 273.15k to 1kg of ice at 273.15k

hence the minimum amount of heat released to the vessel containing 1kg of water at 273.15k = 334kj

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