According to Ideal Gas Equation,
P V = n R T
Also,
n = mass / M.mass
So,
P V = (mass × R × T) ÷ M.mass
Or,
P × M.mass = (mass × R × T) ÷ V
Since,
Density = mass / volume
So,
P × M.mass = Density × R × T
Or,
Density = (P × M.mass) ÷ (R × T)
Putting Values,
Density = (1.03 atm × 146.06 g/mol) ÷ (0.0821 L.atm.mole⁻¹.K⁻¹ × 297 K)
Density = 6.16 g/L
