Solved: Find an expression for the entropy gain when hot and cold water are irreversibly

Chapter 19, Problem 65

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Find an expression for the entropy gain when hot and cold water are irreversibly mixed. A corresponding reversible process you can use to calculate this change is to bring each water sample slowly to their common final temperature Tf and then mix them. Express your answer in terms of the initial temperatures Th and Tc. Assume equal masses of hot and cold water, with constant specific heat c. Whats the sign of your answer?

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