Q. $O_{2}$ gas is filled in a vessel. If pressure is doubled, temperature becomes four times, how many times its density will become
A) 2
B) 4
C) $\frac{1}{4}$
D) $\frac{1}{2}$
Explanation
(d) $PV = \mu RT \Rightarrow P\left( \frac{m}{\rho} \right) = \mu RT \Rightarrow \rho \propto \frac{P}{T}$
Since $T$ becomes four times and $P$ becomes twice so $\rho$ becomes $\frac{1}{2}$ times
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.