Answer: The molar mass of gas is 48.4 g/mol
Explanation:
To calculate the relation of density and molar mass of a compound, we use the ideal gas equation:
[tex]PV=nRT[/tex]
P = pressure = 851.2 mm Hg = 1.12 atm ( 760 mm Hg = 1atm)
V = Volume
n = number of moles
R = gas constant = 0.0821 Latm/Kmol
T = temperature = [tex]2^0C=(2+273)K=275K[/tex]
Number of moles (n) can be written as:
[tex]n=\frac{m}{M}[/tex]
where, m = given mass
M = molar mass
where,
[tex]P=\frac{mRT}{MV}[/tex]
[tex]P=\frac{dRT}{M}[/tex]
where d = density
The relation becomes:
[tex]M=\frac{dRT}{P}[/tex]
Putting the values we get :
[tex]M=\frac{2.40g/L\times 0.0821Latm/Kmol\times 275K}{1.12atm}[/tex]
[tex]M=48.4g/mol[/tex]
Thus molar mass of gas is 48.4 g/mol
