Lecture25A(2) - Chemical Equilibrium Reacting...

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Lecture 25 1 Chemical Equilibrium – Reacting Multicomponent Systems (26.1-3) We have been gradually building up to this point: 1) Multiphase singe component systems 2) Multiphase multi component systems 3) Now components can react! Starting with gases consider the generic reaction: A B Y z v A v B v Y v Z + + ,0 ,0 ,0 ,0 note: extent of reaction in moles A A A Y Y Y B B B Z Z Z n n v n n v n n v n n v ξ ξ ξ ξ ξ = - = + = - = + = As the reaction proceeds, reactants are consumed (n A <n A,0 ) and products are formed (n Y >n Y,0 ), and Reactants Products A A Y Y B B Z Z dn v d dn v d dn v d dn v d ξ ξ ξ ξ = - = + = - = + 1 442 4 43 1 442 4 43
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Lecture 25 2 The Gibbs energy for this system is given by: ( 29 , , , , , , , , , and , , , i i j i A B Y Z i i P n T n i T P n G T P n n n n G G G dG dT dP dn i A B Y Z T P n B 4 = + + = 4 4 ( 29 using products, reactants at const T,P i i dn v d ξ = + = - = ( 29 we get Y Y Z z A A B B dG v v v v d μ μ μ μ ξ = + - - , or Y Y Z z A A B B T P G v v v v μ μ μ μ ξ 4 = + - - 4 , The Gibbs energy of the products is greater than G if 0 reactants, so reverse reaction would be spontaneous T P ξ 4 4 , G if 0 The reaction would proceed spontaneously.
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