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An ideal gas of molar mass M is located ...

An ideal gas of molar mass `M` 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 = p_0` at `h = 0`, and the temperature varies with height as
(a) `T = T_0 (1 - ah)` ,
(b) `T = T_0 (1 + ah)`,
where `a` is a positive constant.

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