Q. At a given temperature, the pressure of an ideal gas of density $\rho$ is proportional to
A) $\frac{1}{\rho^{2}}$
B) $\frac{1}{\rho}$
C) $\rho^{2}$
D) $\rho$
Explanation
(d) $v_{rms} = \sqrt{\frac{3P}{\rho}} = P \propto \rho$ [$v_{rms}$ is constant for fixed temperature]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.