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  4. An ideal gas has pressure P, volume V and absolute temperature T. If m is the mass of each molecule and K is the Boltzmann constant then density of the gas is

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Q. An ideal gas has pressure $P$, volume $V$ and absolute temperature $T$. If $m$ is the mass of each molecule and $K$ is the Boltzmann constant then density of the gas is

MHT CETMHT CET 2017Kinetic Theory

Solution:

From PV $= nRT$ we can find
$PV = NKT$ here $K$ is a Boltzmann constant
Now $\rho= m / V =\frac{ Nm }{ V }$
putting the value in above equation we get $\rho=\frac{ Pm }{ KT }$