[QUE/TH-06008] TH-PROBLEM

A Carnot engine is made to operate as a refrigerator, operating at $0^o$ C and discharging heat at $20^o$C. Find the minimum amount of work done by the refrigerator in converting one kilogram of water at $0^o$ into ice. ( Assume latent heat to be $L\,=\, 3.35\times 10^5J/Kg.$)