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Physical chemistry
This textbook is for the standard undergraduate course in physical chemistry.
In writing this book, I have kept in mind the goals of clarity, accuracy, and depth. To make the presentation easy to follow, the book gives careful definitions and expla¬nations of concepts, full details of most derivations, and reviews of relevant topics in mathematics and physics. I have avoided a superficial treatment, which would leave students with little real understanding of physical chemistry. Instead, I have aimed at a treatment that is as accurate, as fundamental, and as up-to-date as can readily be pre¬sented at the undergraduate level.
LEARNING AIDS
Physical chemistry is a challenging course for many students. To help students, this book has many learning aids:
• Each chapter has a summary of the key points. The summaries list the specific kinds of calculations that students are expected to learn how to do.
SUMMARY
We assumed the truth of the Kelvin-Planck statement of the second law of ther¬modynamics, which asserts the impossibility of the complete conversion of heat to work in a cyclic process. From the second law, we proved that dqlev/Tis the differ¬ential of a state function, which we called the entropy 5. The entropy change in a process from state 1 to state 2 is AS = f\ dqmIT, where the integral must be eval¬uated using a reversible path from 1 to 2. Methods for calculating AS were dis¬cussed in Sec. 3.4.
We used the second law to prove that the entropy of an isolated system must increase in an irreversible process. It follows that thermodynamic equilibrium in an isolated system is reached when the system's entropy is maximized. Since isolated systems spontaneously change to more probable states, increasing entropy corre¬sponds to increasing probability p. We found that S = k In p + a, where the Boltzmann constant k is k = RIN, and a is a constant.
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