The temperature of Earth's oceans at a depth of 2500 m is about 4 °C. Suppose you want to use this water as the low-temperature thermal reservoir for an electric heat pump to heat the cabin of a boat at 20 °C.
Part A: If the pump operates on a Carnot cycle and uses electrical energy at a rate of 70 W , at what rate are you changing the entropy of the deep ocean?
(dSdt)ocean = s-1
Part B: At what rate are you changing the entropy of the air in the cabin?
(dSdt)cabin = s-1