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
    The density of gas cannot be uniform throughout the cylinder.
  • B
    The density of gas cannot be uniform throughout the cylinder under isothermal conditions.
  • CThe density of gas is uniform if $\frac{{dT}}{{dh}}=\frac{Mg}{{R}}$
  • D
    All of the above
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