A heat engine operates taking heat out of a tank that contains 10^5 kg of water at 350K to then release the resulting heat to the environment which is at 300K. Observe that the temperature of the water in the tank decreases as energy is extracted, for then its not an ideal reservoir. The specific heat of water is 4,18kJ/kg K. Consider that the atmosphere acts like an ideal reservoir (its temperature doesnt change) a) Determine the maximum heat that the heat engine can make use of during the whole process from the tank of water. Justify your answer.

Consider that the temperature of the tank decreaes in discrete intervals, for then, the yielded heat wilk always be obtained in a).

b) supose that the temperature of the tank stays at 350K during all of the process. Determine the maximum work that the heat engine can provide.

c) consider now that the temperature of the tank decreses in two intervals. Half of the heat is given at 350K and the second half at 325K. Determine the maximum work that the heat engine can provide. Compare the result obtained in the item before and comment.

d) Calculate the exact result (this corresponds to consider intervals of infinitedecimal temperature) of the maximum work that the heat engine can provide. Compare the results obtained in the items before and comment.

I have 2:20 hours to do this question, excuse my translation from spanish. HEL