Use the following values to determine the equilibrium constant for the reaction \(2 \mathrm{CO}+\mathrm{O}_{2} ightleftarrows 2 \mathrm{CO}_{2}\). At a combustion temperature of \(T=1500 \mathrm{~K}: \beta \mu_{\mathrm{CO}_{2}}^{(0)}=-60.95, \beta \mu_{\mathrm{CO}}^{(0)}=-35.18\), and \(\beta \mu_{\mathrm{O}_{2}}^{(0)}=-27.08\). Use this data to compute the fraction \([\mathrm{CO}] /\left[\mathrm{CO}_{2}ight]\) for the case of \(\left[\mathrm{O}_{2}ight]=0.01\). Repeat for a catalytic converter temperature of \(T=600 \mathrm{~K}\), where \(\beta \mu_{\mathrm{CO}_{2}}^{(0)}=-103.45, \beta \mu_{\mathrm{CO}}^{(0)}=-45.38\), and \(\beta \mu_{\mathrm{O}_{2}}^{(0)}=-23.49\).