Question

Gas storage containers are sometimes designed to store the gas at a low temperature. This allows more gas to be stored at a lower pressure, and therefore more safely.

Consider a rigid (constant volume) gas container that can safely store n_H moles of gas at a higher temperature T_H = 316 K and pressure P_H = 5.02 x 10^6 Pa.

Calculate the number of moles of gas, n_L, that this container can hold at a lower temperature T_L = 121 K and pressure P_L = 3.33 x 10⁶ Pa?

Give your answer as the ratio, n_L/n_H, to at least three significant digits.

Answer 1