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)

$\frac{pm}{kT}$

Answer 2

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, $\rho =\frac{pm}{kT}$