Exercise 8 | Properties of Gases

Ideal gas equation:

PV = nRT

⇒ PV = $\frac{\mathrm{mRT}}{\mathrm{M}}$ 

⇒ $\frac{\mathrm{m}}{\mathrm{V}}$ = $\frac{\mathrm{PM}}{\mathrm{RT}}$ 

⇒ ρ = $\frac{\mathrm{PM}}{\mathrm{RT}}$

ρ = density (in g.m^-3)

P = pressure (in Pa) ⇒ 1 atm = 1.013 x 10⁵ Pa

M = molar mass = M_C + 2 x M_O = 44.0 g.mol^-1

R = ideal gas constant = 8.314 m³.Pa.K^-1.mol^-1

T = temperature in K ⇒ 0°C = 273K

ρ = $\frac{1.013 \times {10}^5 \times 44.0}{8.314 \times 273}$ = 1.96 x 10³ g.m^-3 = 1.96 g.L^-1