What is the molar mass of a gas if it has a density of 2.40g/L at 851.2mmHg and 2°C

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:

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  =

Number of moles (n) can be written as:

where, m = given mass

M = molar mass

where,

where d = density

The relation becomes:

Putting the values we get :

Thus molar mass of gas is 48.4 g/mol

the temperature of the gas, in k, not celsius.