Based on the ideal gas equation:
PV = nRT----------(1)
P = pressure = 708 torr
V = volume
T = temperature = 461 K
n = number of moles of the gas = mass of gas (m)/Molar mass (M)
R = gas constant = 62.346 Ltorr/molK-1
Equation (1) can also be written as:
PV = (m/M)RT
M = (m/V)RT/P----------(2)
here m/V = density of the gas = 0.943 g/L
Substituting for P, R and T in eq (2) we get the molar mass as:
M = 0.943 * 62.346 * 461/708 = 38.28 g/mol
