The Principles of Statistical Mechanics :-
The exponential atmosphere.
If the temp. is same at all heights, the problem is to discover by what law the atmosphere becomes tenuous as we go up. If N is no. of molecules in a volume V of gas at pressure P, then we know PV = NkT, or P = nkT, where n =N/V is the no. of molecules per unit volume, if we know the no. of molecules per unit volume, we know pressure and vice-versa : they are proportional to each other, since the temperature is constant. But the pressure is not constant, it must increase as the altitude is reduced.
If we take a unit a

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