Combustion of natural gas (primarily methane) occurs in

Chapter 6, Problem 121E

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Combustion of natural gas (primarily methane) occurs in most household heaters. The heat given off in this reaction is used to raise the temperature of the air in the house. Assuming that all the energy given off in the reaction goes to heating up only the air in the house, determine the mass of methane required to heat the air in a house by \(10.0^{\circ} \mathrm{C}\). Assume that the house dimensions are \(30.0 \ \mathrm{m} \times 30.0 \ \mathrm{m} \times 3.0 \ \mathrm{m}\), specific heat capacity of air is \(30 \ \mathrm{J} / \mathrm{K} \cdot \mathrm{mol}\), and 1.00 mol of air occupies 22.4 L for all temperatures concerned.