The internal temperature of a freezer is \(269 \mathrm{~K}\), and the temperature of the cooling coils on the back of the freezer is \(325 \mathrm{~K}\).

(a) What is the maximum coefficient of performance of cooling of the freezer? 

\((b)\) You measure the time interval it takes to freeze a sample of water and estimate that, during each cycle, the freezer absorbs \(118 \mathrm{~J}\) from its interior. How much thermal energy does the freezer transfer to the environment during each cycle?

(c) How much work is done on the freezer each cycle?

(d) You notice that the room in which the freezer is located is warmer than nearby rooms, and you wonder how efficient the freezer is at warming the room compared with the efficiency of a small electric space heater. Estimate the relative heating efficiencies of these two devices.