(a) Calculate the equilibrium constant, \(K_{p}\), at \(2000 \mathrm{~K}\) at the reference pressure of \(1 \mathrm{~atm}\) for the reaction

\[\mathrm{CO}+\mathrm{H}_{2} \mathrm{O} \Leftrightarrow \mathrm{CO}_{2}+\mathrm{H}_{2}\]

(b) Calculate the equilibrium constant, \(K_{p}\), at \(2500 \mathrm{~K}\) at the reference pressure of \(1 \mathrm{~atm}\) for the reaction

\[\mathrm{CO}+\frac{1}{2} \mathrm{O}_{2} \Leftrightarrow \mathrm{CO}_{2} .\]

Also calculate the equilibrium constant at \(2500 \mathrm{~K}\) and a pressure of \(1 \mathrm{bar}\).

[(a) 4.6686; (b) \(27.028 \mathrm{~atm}^{-1 / 2} ; 27.206 \mathrm{bar}^{-1 / 2}\) ]