Suppose that you want to freeze 1 kg of water for a party, and only have 5 minutes to do it. Relying on nothing but your keen physical abilities, a dixicup, duct tape and a piece of string, you manage to build a refrigerator unit which can do the job. The temperature inside the refrigeration unit is 273 K, and the temperature outside is 350 K. Since you are a brilliant UIUC student, assume that your refrigerator has the maximum possible efficiency. The Latent Heat of Fusion of water is 3.33×10^5 J/kgAssume that the initial temperature of the water is 273 K. Requried:a. What is the change (including the sign) in entropy in the water per second in J/(Ks)?b. What is the heat flow ( Q_hot/time ) into the Hot well per second in J/s?c. How much power must you provide to drive your refrigerator in Watt W? (That is work done per second?)