Height of atmosphere!!

Classical Mechanics Level pending

Assume that atmosphere of a planet is in hydro-static equilibrium and all air process occurring in the atmosphere are adiabatic.The gas of the atmosphere behaves as an ideal gas. The gravitation constant is \( g=9.8\text{ms}^{-2}\).

The temperature of the surface of planet is \(T_{0} = 300\) K. Assume the atmosphere is made of diatomic gas of molar mass \(M=29\).

Find the height of the atmosphere of the planet in meters.


  • Take \(R=8.314\text{JK}^{1-}\text{mol}^{-1}\)

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