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

June 26, 2021 | education

| **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.

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