Q. Equation of gas in terms of pressure $(P),$ absolute temperature $(T)$ and density $(d)$ is
A) $\frac{P_{1}}{T_{1}d_{1}} = \frac{P_{2}}{T_{2}d_{2}}$
B) $\frac{P_{1}T_{1}}{d_{1}} = \frac{P_{2}T_{2}}{d_{2}}$
C) $\frac{P_{1}d_{2}}{T_{1}} = \frac{P_{2}d_{1}}{T_{1}}$
D) $\frac{P_{1}d_{1}}{T_{1}} = \frac{P_{2}d_{2}}{T_{2}}$
Explanation
(a) $PV = \mu RT = \frac{m}{M}RT \Rightarrow P = \frac{d}{M}RT\ \left\lbrack Density\ d = \frac{m}{V} \right\rbrack$
$\Rightarrow \frac{P}{dT} = constant\ or\frac{P_{1}}{d_{1}T_{1}} = \frac{P_{2}}{d_{2}T_{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.