A very tall vertical cylinder is filled with a gas of molar mass $M$ under isothermal conditions at temperature $T.$ The density and pressure of the gas at the base of the container is $\rho_0$ and $p_0$, respectively Choose the correct statement$(s)$
A
Pressure decreases with height
B$p = \rho \frac{{RT}}{M}$
C$\frac{{dp}}{{dh}} = - \rho g$ where $\rho$ is density of the gas at a height $h$.
D
All of the above
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D
All of the above
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