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

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Chem120B Problem Set 3 Due: February 15, 2008 1. Problems 17-33, 17-37, 17-38, 17-39, I-1, I-2, I-3, I-13, 27-2, 27-3, 27-4, and 27-5 in McQuarrie & Simon’s Physical Chemistry textbook. For problem 17-37 explain 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 = parenleftbigg ∂S ∂E parenrightbigg N,V (i) A system at temperature T absorbs a small amount of energy Δ E . By how much does its entropy change? Include in your Taylor series only the term proportional to Δ E (neglecting terms of order Δ E 2 and higher). (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, if T 1 > T 2 , then energy should spontaneously flow from system #1 to system #2. What does this

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