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.