What capacity should you take a gas cylinder in the amount of 300 mol, at a temperature of 100 C

What capacity should you take a gas cylinder in the amount of 300 mol, at a temperature of 100 C if the pressure should not exceed 5 MPa.

Initial data: ν (amount of gas substance) = 300 mol; Т (gas temperature) = 373 К (100 ºС); P (maximum gas pressure in the cylinder) = 5 MPa (5 * 10 ^ 6 Pa).

Reference values: R (universal gas constant) = 8.314 J / (mol * K)

We express the capacity of the cylinder from the following formula (Mendeleev-Clapeyron’s law): P * V = ν * R * T, whence V = ν * R * T / P.

Let’s make the calculation: V = 300 * 8.314 * 373 / (5 * 10 ^ 6) ≈ 0.186 m3 (186 l).

Answer: You will need to take a cylinder with a capacity of 0.186 m3.