Solved: Applying the First Law to Reacting SystemsMethane

Chapter 13, Problem 48P

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Methane gas (\(\mathrm{CH}_{4}\)) at \(25^{\circ} \mathrm{C}\), 1 atm enters a steam generator operating at steady state. The methane burns completely with 140% of theoretical air entering at \(127^{\circ} \mathrm{C}\), 1 atm. Products of combustion exit at \(427^{\circ} \mathrm{C}\), 1 atm. In a separate stream, saturated liquid water enters at 8 MPa and exits as superheated vapor at \(480^{\circ} \mathrm{C}\) with a negligible pressure drop. If the vapor mass flow rate is 3.7 3 105 kg/h, determine the volumetric flow rate of the methane, in \(\mathrm{m}^{3} / \mathrm{h}\).

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