Chapter 14, Problem 5PE

At $\text{25 °C}$, the following reactions have the equilibrium constants noted to the right of their equations.

$\begin{array}{l}\text{2CO}\left(g\right){\text{+ O}}_{\text{2}}\left(g\right)\stackrel{}{\rightleftarrows }{\text{ 2CO}}_{\text{2}}\left(g\right)K_c\text{= 3}\text{.3 }\times {\text{ 10}}^{\text{91}}\hfill \\ {\text{2H}}_{\text{2}}\left(g\right){\text{ + O}}_{\text{2}}\left(g\right)\stackrel{}{\rightleftarrows }{\text{ 2H}}_{\text{2}}\text{O}\left(g\right)K_c\text{= 9}\text{.1 }\times {\text{ 10}}^{\text{80}}\hfill \end{array}$

Use these data to calculate the numerical value of for the reaction

${\text{H}}_{\text{2}}\text{O}\left(g\right)\text{ + CO}\left(g\right)\stackrel{}{\rightleftarrows }{\text{ CO}}_{\text{2}}\left(g\right){\text{ + H}}_{\text{2}}\left(g\right)$