In an experiment, methane is burned with the theoretically required amount of oxygen for complete combustion. Because of faulty operation of the adiabatic burner, the reaction does not proceed to completion. You may assume all of the methane that does react forms $H_{2}O$ and $C{O}_2.$ If the reactants are fed into the reactor at $25C$ and $1$ bar and the exiting gases leave at $1200C$ and $\frac{1}{b}ar,$ determine the percentage of methane that passes through the reactor unburned.