Q. A sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T,$ the mass of each molecule is $m.$ The expression for the density of gas is ($k = \ $Boltzmaan’s constant)
A) $mkT$
B) $P/kT$
C) $P/kTV$
D) $Pm/kT$
Explanation
(d) $PV = kT \Rightarrow P\left( \frac{m}{\rho} \right) = kT \Rightarrow \rho = \frac{Pm}{kT}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.