What capacity is needed for a cylinder to contain 50 Moles of gas

What capacity is needed for a cylinder to contain 50 Moles of gas, if at a maximum temperature of 360 K the pressure should not exceed 6 MPa?

To solve the problem, we will use the Mendeleev-Clapeyron equation:
p * v = n * R * T, where p is the pressure, v is the volume, n is the number of moles, R is the universal gas constant equal to 8.31, T is the temperature. Then the volume is:
v = n * R * T / p = 50 * 8.31 * 360/6 * 10 ^ 6 = 50,000 * 10 ^ -6 = 0.5 m ^ 3.