It has been suggested that a heat engine could make use of the temperature difference between water at the surface of the equatorial oceans (27) and the cooler water several hundred meters below (4). If such an engine could be built with near-Carnot efficiency, how much water (in kg) would it need per day if it were to generate 600 MW of power? [The mass of all the earth's oceans is about 1.4 1021 kg.]

a. Sketch the situation, defining all your variables.

b. What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation.

c. Apply your equation(s) to solve the problem as an algebraic expression(s).

d. Calculate your numerical answer(s). Show the units of your answer(s), and how you got them.