The density of methane (CH₄) at 2.0 atmospheric pressure and 27⁰C is

Options

(a) 1.30 gL⁻¹
(b) 0.13 gL⁻¹
(c) 0.26 gL⁻¹
(d) 26.0 gL⁻¹

Correct Answer:

1.30 gL⁻¹

Explanation:

Ideal gas equation is given as PV = nRT ⇒ PV = w/m RT (moles, n = mass / mol.mass) ⇒ P = w/V / m RT ⇒ P = ρ(RT/m) ⇒ ρ(density) = Pm / RT = 2 atm x 16 gmol⁻¹ / 0.0821 L atm K⁻¹ mol ⁻¹ x 300K = 1.30 gL⁻¹.