# natural gas specific heat 5 things you need to know for Thursday
From the lights turning on in downtown Tampa to a career fair in New Port Richey, here are five things you need to know happening in Florida on Thursday, December 2.

1. You want to heat your house with natural gas CH4. The house has 275 sq. m of the floor area and the height of 2.5 m (between the floor and the ceiling). The air has a specific molar heat capacity of 29.1 j/mol*K. The molar mass of air is 28.9 and a density of 1.22 g/L at these temperatures. How much methane do you have to use in order to heat air from 15 to 22 oC in your house?

THANK YOU!

V = 275 x 2.5 = 687.5 m^3 =>687500 dm^3 =>

mass = 1.22 g/dm^3 x 687500 dm^3 =838750 g

moles air = 838750 g / 28.9 g/mol =29022

Q = mol x molar heat capacity x delta T=
= 29022 x 29.1 ( 22- 15) = 7943321 J required

I find ( on wikipedia) that 1 mole of methane gives 890000 J

moles methane needed = 7943321 / 890000 =8.9

mass CH4 = 8.9 mol x 16 g/mol =142.4 g

Mars – An Active Planet (1/2)

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