Question

An ideal gas of molar mass /If is located in the uniform gravitational field in which the free-fall acceleration is equal to g. Find the gas pressure as a function of height h, if p = P0 at h = 0, and the temperature varies with height as

(a) T = T0 (1 - ah);

(b) T = T0 (1+ ah),

where a is a positive constant.

Answer 1

We known that the variation of pressure with height of a fluid is given by :

(b) Proceed up to Eq. (1) of part (a), and then put T = T0(1+ah) in the same fashion to get