Q. At $100\ K$ and $0.1$ atmospheric pressure, the volume of helium gas is $10\ litres.$ If volume and pressure are doubled, its temperature will change to
A) $400\ K$
B) $127\ K$
C) $200\ K$
D) $25\ K$
Explanation
(a) $PV = \mu RT \Rightarrow PV \propto T$
If $P$ and $V$ are doubled then $T$ becomes four times, $i.e.,$
$T_{2} = 4T_{1} = 4 \times 100 = 400K$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.