Question

Two closed, rigid water containers with initial temperatures $T_{\mathrm{A}}$ and $T_{\mathrm{B}}$ are brought into thermal contact. At equilibrium, the two containers are at the same temperature. Prove that this process has positive $\Delta S$ and find an expression for the final temperature.

   Two closed, rigid water containers with initial temperatures $T_{\mathrm{A}}$ and $T_{\mathrm{B}}$ are brought into thermal contact. At equilibrium, the two containers are at the same temperature. Prove that this process has positive $\Delta S$ and find an expression for the final temperature.
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Physical Chemistry : Thermodynamics, Statistical Mechanics & Kinetics
Physical Chemistry : Thermodynamics, Statistical Mechanics & Kinetics
Andrew Cooksy 1st Edition
Chapter 9, Problem 9 ↓
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Two closed, rigid water containers with initial temperatures $T_{\mathrm{A}}$ and $T_{\mathrm{B}}$ are brought into thermal contact. At equilibrium, the two containers are at the same temperature. Prove that this process has positive $\Delta S$ and find an expression for the final temperature.
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Fundamentals of Engineering Thermodynamics SI VERSION

Using Entropy

Problems: Developing Engineering Skills


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Transcript

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00:02 The given pound -holtz free energy calculation.
00:05 So for this part, we have to determine the temperature and the dependence with concentration.
00:14 So always remember at equilibrium temperature, pound -holtz free energy should be minimum and differentiating f with respect to n and equating it with zero.
00:27 So we get df over dn, which is equal to zero.
00:33 So here we have e minus kt, so negative one minus lnn plus one plus lnn minus n, which is equals to zero.
00:49 So we have e is equals to kt.
00:52 We have lnn minus n divided by n.
00:57 So we have n minus n divided by n.
01:00 So we have equal to e...
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