An equimolar mixture of \(\mathrm{CO}(\mathrm{g})\) and \(\mathrm{H}_{2} \mathrm{O}(\mathrm{g})\) enters a reactor which is maintained at \(10 \mathrm{bar}\) and \(1000 \mathrm{~K}\). The reaction involved is

\[ \mathrm{CO}(\mathrm{g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})+\mathrm{H}_{2}(\mathrm{~g}) \]

Given that the equilibrium constant for this reaction at \(1000 \mathrm{~K}\) is 1.5 , calculate the degree of conversion and the composition of the gas mixture that leaves the reactor. The reaction mixture is assumed to behave like an ideal gas.