(Solution) - Consider the water gas shift reaction H2 g CO2 g H2O g CO g At -(2025 Original AI-Free Solution)

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Consider the water-gas-shift reaction:
H2(g) + CO2(g) ? H2O(g) + CO(g)
At high temperatures and low to moderate pressures the reacting species form an ideal- gas mixture. By Eq. (11.27):

When the Gibbs energies of the elements in their standard states are set equal to zero, Gi = AGofi for each species, and then:
At the beginning of Sec. 13.2 we noted that Eq. (14.68) is a criterion of equilibrium. Applied to the water-gas-shift reaction with the understanding that T and P arc constant, this equation becomes:
Here, however, dn/d? = 0. The equilibrium criterion therefore becomes
dG/ d? = 0
Once the yi are eliminated in favor of e, Eq. (A) relates G to ?. Data for AGofi ', for the compounds of interest are given with Ex. 13.13. For a temperature of 1,000 K (the reaction is unaffected by P) and for a feed of 1 mol H2 and 1 mol CO2:
(a) Determine the equilibrium value of e by application of Eq. (B).
(b) Plot G vs. ? indicating the location of the equilibrium value of e determined in