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There are 1000 liters in one cubic meter. 22.4 liters of any gas is equal to 1 mole, according to molar volume. Molar mass tells us that the main component of natural gas, methane, or CH4, has a molar mass of 12+1+1+1+1, or 16g per mol.
16g/mol * 1000L/m3 / 22.4 L/mol = 714g/m3 = 0.714kg/m3
Therefore, there are 0.714 kilograms in a cubic meter of natural gas.
You must remember that this only applies under certain conditions. The 22.4 L/mol number is a result of the Ideal Gas Law PV=nRT. In order to equate volume with moles, P and T must be specified (R is a constant). Only at atmospheric pressure (1atm) and standard temperature (0 Celsius) is there 22.4 liters in a mole of gas.
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