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Unformatted text preview: CBE 102B Problem Set 5 Due: Friday, May 7 2010 1. (15 pts.) A system contains C, CO, CO 2 , H 2 , and H 2 O in chemical equilibrium. Find the number of independent reactions, R , and suggest stoichiometric coefficients j . 2. (15 pts.) According to the Debye theory of solids 3 4 12 5 pm D T C R = at low T . The constant D has units of temperature and is known as the Debye temperature of the solid. Derive an expression for the molar entropy, , and show that m S 1 3 m p S C = m ( , ) at low T . 3. (70 pts.) [ABET] In this problem, we shall investigate the thermodynamics of an incompressible Einstein crystal. In the quadratic or harmonic approximation, a crystal of N atoms is treated as a collection of 3 N independent harmonic oscillators. Each oscillator vibrates at its own characteristic frequency, . Treating the harmonic vibration with quantum mechanics, and using statistical mechanics, one finds the following result for the Helmholtz function,...
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This document was uploaded on 05/27/2011.
 Spring '11

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