A large cylindrical tower is kept vertical with its ends closed. An ideal gas having molar mass M fills the tower. Assume that temperature is constant throughout, acceleration due to gravity (g) is constant throughout and the pressure at the top of the tower is zero.
(a) Calculate the fraction of total weight of the gas inside the tower that lies above certain height h.
(b) At what height `h_(0)` the quantity of gas above and below is same. How does the value of h0 change with temperature of the gas in the tower?

Answer

`(a) e^((-Mgh)/(RT)) " " (b) ((RT)/(Mg))ln2`
(c ) `h_(0)` increase with T.