ChemicalEquilibriumLect22ME501F2011

ChemicalEquilibriumLect22ME501F2011 - Purdue University ME...

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Patterned Border Template 1 Purdue University School of Mechanical Engineering ME 501: Statistical Thermodynamics Lectures 22: Statistical Thermodynamic Analysis of Chemical Equilibrium Prof. Robert P. Lucht Room 2204, Mechanical Engineering Building School of Mechanical Engineering Purdue University West Lafayette, Indiana [email protected] , 765-494-5623 (Phone) October 31, 2011
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Patterned Border Template 2 Purdue University School of Mechanical Engineering Lecture Topics • Population ratios for mixtures of reacting ideal gases. • Definition of the equilibrium constant. • Dissociation of homonuclear diatomic molecules. • Atomic ionization. • Complex reactions.
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Patterned Border Template 3 Purdue University School of Mechanical Engineering Population Ratios for Mixtures of Reacting Ideal Gases • To calculate ratios of total numbers of particles for each species in the reacting gas mixtures let’s start with the relations: • Calculating the population ratio N A N B / N AB we obtain:  0 exp = exp = exp = A B AB A B AB BA B NN ZZ D N kT Z      0 exp / 1 exp / exp / exp / A B B AB AB AA jA j B j B Bj Bj B AB ABj ABj B jj Dk T E NZ where Z g k T Zg k T Z g k T   
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Patterned Border Template 4 Purdue University School of Mechanical Engineering Population Ratios for Mixtures of Reacting Ideal Gases • We can write the partition functions as the product of translational and internal partition functions: • Substituting this expression into (E1) we obtain: 3/2 , 2 2 iB i tr i int,i int,i mk T Z ZZ Z h      0 2 2 exp / 2 Aint
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This note was uploaded on 12/26/2011 for the course ME 501 taught by Professor Na during the Fall '10 term at Purdue.

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ChemicalEquilibriumLect22ME501F2011 - Purdue University ME...

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