One approach to using hydrocarbon fuels in a fuel cell is to "reform" the
hydrocarbon to obtain hydrogen, which is then fed to the fuel cell. As a part
of the analysis of such a procedure, consider the reaction
\(\mathrm{CH}_{4}+\mathrm{H}_{2} \mathrm{O} \Leftrightarrow \mathrm{CO}+3
\mathrm{H}_{2} .\) One kilomole each of methane and water are fed to a
catalytic reformer. A mixture of \(\mathrm{CH}_{4}, \mathrm{H}_{2} \mathrm{O},
\mathrm{H}_{2},\) and \(\mathrm{CO}\) exits in chemical equilibrium at \(800
\mathrm{~K}, 100 \mathrm{kPa}\). Determine the equilibrium composition of this
mixture using an equilibrium constant of \(K=0.0237\).