Q. Volume, pressure and temperature of an ideal gas are $V,\ P$ and $T$ respectively. If mass of its molecule is $m,$ then its density is [$k =$ boltzmann’s constant]

A) $mkT$
B) $\frac{P}{kT}$
C) $\frac{P}{kTV}$
D) $\frac{Pm}{kT}$
Explanation

(d) $PV = nRT$
$\Rightarrow PV = \frac{\omega}{M}RT$
$\frac{PM}{RT} = \frac{\omega}{V} = e$
$\Rightarrow e = \frac{PM}{RT} = \frac{P \times m \times N_{A}}{RT} = \frac{Pm}{\left( \frac{R}{N_{A}} \right)T} = \frac{Pm}{kT}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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