Determine the minimum capacity of the cylinder, which should be taken to contain 0.1 kg

Determine the minimum capacity of the cylinder, which should be taken to contain 0.1 kg of hydrogen, if at a temperature of 361 K the pressure in the cylinder should not exceed 6 MPa. The molar mass of hydrogen is 0.002 kg / mol.

Initial data: m (mass of hydrogen) = 0.1 kg; T (temperature of hydrogen in the cylinder) = 361 K; P (maximum pressure) = 6 MPa (6 * 10 ^ 6 Pa).

Reference data: R (universal gas constant) = 8.31 J / (mol * K); according to the condition M (molar mass of hydrogen) = 0.002 kg / mol.

The minimum capacity of a hydrogen cylinder is determined using the Mendeleev-Clapeyron law: P * V = (m / M) * R * T and V = m * R * T / (P * M).

Calculation of the minimum capacity: V = 0.1 * 8.31 * 361 / (6 * 10 ^ 6 * 0.002) = 0.025 m3.