The standard ambient temperature and pressure are
Temperature =298 K
Pressure = 1atm
The density of gas is 1.5328 g/L
density = mass of gas per unit volume
the ideal gas equation is
PV = nRT
P = pressure = 1 atm
V = volume
n = moles
R= gas constant = 0.0821 Latm/mol K
T = 298 K
moles = mass / molar mass
so we can write
n/V = density / molar mass
Putting values
[tex]Pressure=\frac{nRT}{V}=\frac{massXRT}{VXmolarmass}[/tex]
[tex]Pressure=\frac{densityXRT}{molarmass}[/tex]
[tex]molarmass=\frac{densityXRT}{Pressure}=\frac{1.5328X0.0821X298}{1}=37.50[/tex]
Thus molar mass of gas is 37.50g/mol
