Problem 2.17

An ideal gas of molar $\mathrm{m}$ ass $M$ is contained in a tall vertical cylindrical vessel whose base area is $S$ and height $h .$ The temperature of the gas is $T,$ its pressure on the bottom base is $p_{0}$. Assuming the temperature and the free-fall acceleration $g$ to be independent of the height, find the mass of gas in the vessel.