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# ps3 - Chem120B Problem Set 3 Due 1 Problems 17-33 17-37...

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Chem120B Problem Set 3 Due: February 11, 2011 Simon’s Physical Chemistry textbook. For problem 17-37 explain in terms of energy and entropy why f J /f 0 has a local maximum. For problems I-1 and I-2 a handful of values of x is sufficient (say, 0.005, 0.01, 0.05, and 0.1). 2. In thermodynamics temperature is defined by the derivative 1 T = p ∂S ∂E P N,V (i) A system at temperature T absorbs a small amount of energy Δ E . By how much does its entropy change? To answer this question, write a Taylor series for Δ S ordered in powers of Δ E . Since the energy change Δ E is small, you may neglect terms of order Δ E 2 and higher (i.e., include only the term proportional to Δ E ). (ii) Now consider two systems initially at temperatures T 1 and T 2 . What is the total change in entropy Δ S = Δ S 1 + Δ S 2 when a small amount of energy Δ E is transferred from system #1 to system #2? (iii) Our physical intuition says that heat flows from hot systems to cold systems. In other words,

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ps3 - Chem120B Problem Set 3 Due 1 Problems 17-33 17-37...

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