A homeowner uses 4.00x10³ m³ of natural gas in a year to heat a home. Assume the gas is CH4 and that it behaves as a perfect gas. If the pressure is 1.00 atm and the temperature is 20.0°C, what is the mass of the gas used?

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A homeowner uses 4.00x10³ m³ of natural gas in a year to heat a home. Assume the gas is CH4 and that it
behaves as a perfect gas. If the pressure is 1.00 atm and the temperature is 20.0°C, what is the mass of the
gas used?
Transcribed Image Text:A homeowner uses 4.00x10³ m³ of natural gas in a year to heat a home. Assume the gas is CH4 and that it behaves as a perfect gas. If the pressure is 1.00 atm and the temperature is 20.0°C, what is the mass of the gas used?
Expert Solution
Step 1: Given values

Volume (V) = 4.00 × 103 m3 = 4.00 × 106 dm3 (1m=10dm)

                  V = 4.00 × 106 L (1dm3= 1L)

Pressure (P) = 1.00 atm

Temperature (T) = 20.0°C = 20.0 + 273 = 293 K




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