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. $ mkT $
• B. $ \frac{pm}{kT} $
• C. $ \frac{p}{km} $
• D. $ \frac{p}{kT} $

Answer 1

Answer: (B)

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} $