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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