Question:
A sample of an ideal gas occupies a volume $V$ at pressure $p$ and absolute temperature $T$. The mass of each molecule is $m$, then the density of the gas is
A sample of an ideal gas occupies a volume $V$ at pressure $p$ and absolute temperature $T$. The mass of each molecule is $m$, then the density of the gas is
Updated On: Jul 12, 2022
- $ mkT $
- $ \frac{pm}{kT} $
- $ \frac{p}{km} $
- $ \frac{p}{kT} $
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The Correct Option is B
Solution and Explanation
The equation which relates the pressure (p), volume (V) and temperature of the given state of an ideal gas is known as ideal gas equation
$ pV=kT $
$ 9\left( \frac{m}{\rho } \right)=kT $
$ \left[ \because V=\frac{m}{\rho } \right] $
Density of gas, $ \rho =\frac{pm}{kT} $
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