Methane gas (CH4) at 25°C, 1 atm enters a steam generator operating at steady state. The methane burns completely with 140% theoretical air entering at 127°C, 1 atm. Products of combustion, consisting of CO2, H2O(g), O2, and N2, exit the steam generator at 427°C, 1 atm. In a separate stream, saturated liquid water enters at 8 MPa and exits as superheated vapor at 480°C with a negligible pressure drop. If the superheated water vapor mass flow rate is 3.7x105 kg/h, determine the volumetric flow rate of the methane, in m³/h. Draw a schematic of the problem and label with known information and list all appropriate assumptions.