The molar mass of the gas is 48 g/mol. The result is obtained by using the ideal gas equation.
The gas is ideal when it obeys an equation of state, pV = nRT.
Where
It is known as ideal gas law.
The molar mass of a gas can be counted by the following equation.
M = m/n
Where
A sample of gas with a mass of 1.245 g occupies a volume of 639 ml at 27.0°C and 1.00 atm pressure. What is the molar mass of the gas?
From that information, we get:
The molar mass is M = m/n. Then, the number of moles is n = m/M. We can substitute n value into ideal gas equation.
The molar mass of the gas is
pV = nRT
pV = (m/M) × RT
1.00 × 0.639 = (1.245/M) × 0.082057 × 300.15
0.639 = 30.664/M
M = 30.664/0.639
M = 47.987
M = 48 g/mol
Hence, the molar mass of the gas is 48 g/mol.
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