4.36.) A gas mixture of methane and steam at atmospheric pressure and 500°C is fed to a reactor, where the following reactions occur: \mathrm{CH}_{4}+\mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{CO}+3 \mathrm{H}_{2} \quad \text

{ and } \quad \mathrm{CO}+\mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} The product stream leaves the reactor at 850°C. Its composition (mole fractions) is: y_{\mathrm{CO}_{2}}=0.0275 \quad y_{\mathrm{CO}}=0.1725 \quad y_{\mathrm{H}_{2} \mathrm{O}}=0.1725 \quad y_{\mathrm{H}_{2}}=0.6275 Determine the quantity of heat added to the reactor per mole of product gas.