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ECH152B_HW4 - ECH 152B Homework#4 Due Friday 1(25 points...

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ECH 152B Homework #4 Due: Friday February 13, 2010 1) ( 25 points ) Consider the water gas shift reaction: H 2 (g) + CO 2 (g) Æ H 2 O(g) + CO(g) At high temperatures and low to moderate pressures the reacting species form an ideal gas mixture. By equation (11.27): + = i i i i i i y y RT G y G ln When the Gibbs energies of the elements in their standard states are set equal to zero, for each species, then: O fi i G G Δ = (A) + Δ = i i i i O fi i y y RT G y G ln It has been noted that (dG t ) T,P = 0 is a criterion for equilibrium. Applied to the water gas shift reaction with the understanding that T and P are constant, this equation becomes: 0 ) ( = + = = Gdn ndG nG d dG t 0 = + ε ε d dn G d dG n Here, however, dn/d ε =0. The equilibrium criterion therefore becomes: (B) 0 = ε d dG Once the y i are eliminated in favor of ε , Equation (A) relates G to ε . Data for Δ G fi O for the compounds of interest are given in example 13.13. For a temperature of 1,000 K (the reaction is unaffected by P) and for a feed of 1 mol H 2 and 1 mol CO 2 : a.
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