Q. A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?
A) $\frac{P}{kT}$
B) $\frac{Pm}{kT}$
C) $\frac{P}{kTV}$
D) mkT
Explanation
[Solution] Number density $n = P/kT$, so $\rho = nm = Pm/kT$. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.