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A stationary vertical cylindrical container of very large height filled with a gas of molar mass M at constant Temperature. The pressure at the bottom is `P_(1)` and at the top is `P_(2)`. If the acceleration due to gravity is assumed to be constant for the whole cylinder, which is equal to g. Then the height of the cylinder is :

A

`(RT)/(Mg)ln((P_(1))/(P_(2)))`

B

`(RT)/(2Mg)ln((P_(1))/(P_(2)))`

C

`(2RT)/(Mg)ln((P_(1))/(P_(2)))`

D

`(RT)/(3Mg)ln((P_(1))/(P_(2)))`

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