EquilCompTempLect2ME525SP2011

EquilCompTempLect2ME525SP2011 - ME 525: Combustion Lecture...

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ME 525: Combustion Lecture 2: Chemical Equilibrium, Flame Temperatures, and Dissociation Prof. Robert P. Lucht Room 87, Mechanical Engineering Building chool of Mechanical Engineering School of Mechanical Engineering Purdue University West Lafayette, Indiana Email: Lucht@purdue.edu hone: 765 94 623 Phone: 765-494-5623 anuary 3 2011 School of Mechanical Engineering, Purdue University January 13, 2011
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Lecture Topics Definition of the equilibrium constant. Applications of the equilibrium constant. The equilibrium composition of hydrocarbon flames. School of Mechanical Engineering, Purdue University
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Chemical Equilibrium for Reactions of Ideal Gases B C D  Consider the general reaction: AB C D   Capital letters are the species, 's are the stoichiometric coefficients. Assume that temperature and pressure are constant. If this reaction occurs, A kmols of species A will react with B kmols of species B to produce C kmols of pecies C and mols of species D species C and D kmols of species D. This does not say anything about the umber of moles of each species number of moles of each species actually present. What is the free energy change of the reaction at School of Mechanical Engineering, Purdue University constant temperature and pressure?
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Chemical Equilibrium for Reactions of Ideal Gases Assume that the reaction proceeds to the right at constant P and T by an infinitesimal amount d : AA BB C DD dn d dn d n d dn d   CC dn  The differential change in the Gibbs free energy as a result of the infinitesimal reaction process is: , T P dG G dn G dn G dn G dn  () i P ji G G n   School of Mechanical Engineering, Purdue University ,, j i TP n ji 
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Chemical Equilibrium for Reactions of Ideal Gases Rewriting the equation for the differential change in free energy in terms of a free energy of reaction G R we obtain:  , T P AA BB CC DD dG G G G G d d   R Ri i j j Gd GG G    products reactants G G 1 RC C D D E  School of Mechanical Engineering, Purdue University
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Chemical Equilibrium for Reactions of Ideal Gases Define the partial molal Gibbs free energy for the substance with reference to a standard state for the pure substance at ) () l n o i f G T g T R T  the same temperature T but at a standard pressure P ref , usually 1 atm:   ,0 ii i u pure i oo o i i TG f g Th T T s T     The fugacity f i is used to keep track f the change in free energy due to of the change in free energy due to
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EquilCompTempLect2ME525SP2011 - ME 525: Combustion Lecture...

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