Chapter 15, Problem 56PE

(a) How much heat transfer occurs from 20.0 kg of $\text{9}0.0°\text{C}$ water placed in contact with 20.0 kg of $\text{1}0.0°\text{C}$ water, producing a final temperature of $\text{5}0.0°\text{C}$ ? (b) How much work could a Carnot engine do with this heat transfer, assuming it operates between two reservoirs at constant temperatures of $\text{9}0.0°\text{C}$ and $\text{1}0.0°\text{C}$ ? (c) What increase in entropy is produced by mixing 20.0 kg of $\text{9}0.0°\text{C}$ water with 20.0 kg of $\text{1}0.0°\text{C}$ water? (d) Calculate the amount of work made unavailable by this mixing using a low temperature of $\text{1}0.0°\text{C}$, and compare it with the work done by the Garnet engine. Explicitly show how you follow the steps in the Problem-Solving Strategies for Entropy. (e) Discuss how everyday processes make increasingly more energy unavailable to do work, as implied by this problem.