A vessel with a capacity of 10 liters contains methane weighing 2 kg. find the methane pressure

A vessel with a capacity of 10 liters contains methane weighing 2 kg. find the methane pressure on the vessel walls if its temperature is 15.

Task data: V (vessel volume, methane) = 10 l (0.01 m3); m (mass of methane) = 2 kg; T (absolute temperature of methane) = 288 K (15 ºС).

Reference values: R (universal gas constant) = 8.31 J / (mol * K); M (molar mass of methane) = 16.04 g / mol (16.04 * 10-3 kg / mol).

The methane pressure on the vessel walls can be expressed by the equations of state of an ideal gas: P * V = (m / M) * R * T; P = m * R * T / (M * V).

Calculation: P = 2 * 8.31 * 288 / (16.04 * 10-3 * 0.01) ≈ 29.84 * 106 Pa (29.84 MPa).