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You want to heat the air in your house with natural gas (CH4).Assume your house has 275 m^2 of floor area and that the ceilingsare 2.50 m from the floors. The air in the house has a molar heatcapacity of 29.1 J/mol * K. (The number of moles of air in thehouse can be found by assuming that the average molar mass of airis 28.9 g/mol and that the density of air at these temperatures is1.22 g/L.) What mass of methane do you have to burn to heat the airfrom 15. degrees C to 22.0 degrees C?

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