What is the molar volume of a gas at standard conditions?
The molar volume of any gas at standard pressure and standard temperature is 22.4 liters per mole.
We can use the ideal gas law to prove this. Remember that standard pressure is 1.00 atmospheres and standard temperature is 273 kelvin.
The ideal gas law is PV=nRT
P is pressure and if we consider standard pressure, then we have 1.00 atm.
V is volume and that is what we are trying to solve.
n is the number of moles, which is 1.00 moles since we are trying to determine the volume of a gas in one mole.
R is the ideal gas constant which equals
0.0821 (Liters x atmospheres)/(mole x kelvin)
T is the standard temperature which is 273 kelvin.
Rearrange the equation to solve for volume.
V = nRT/P
V = (1.00 mol)(0.0821 L atm/mol K)(273 K)/ 1.00 atm
V = 22.4 L