Q. $PV$ versus $T$ graph of equal masses of $H_{2},He$ and $O_{2}$ is shown in fig. Choose the correct alternative
A) $C$ corresponds to $H_{2},B$ to $He$ and $A$ to $O_{2}$
B) $A$ corresponds to $He,B$ to $H_{2}$ and $C$ to $O_{2}$
C) $A$ corresponds to $He,B$ to $O_{2}$ and $C$ to $H_{2}$
D) $A$ corresponds to $O_{2},B$ to $H_{2}$ and $C$ to $He$
Explanation
(a) $PV = \mu RT = \frac{m}{M}RT$
$\Rightarrow \frac{PV}{T} \propto \frac{1}{M}\ \ \ \ \lbrack\because M =$ molecule mass]
From graph $\left( \frac{PV}{T} \right)_{A} < \left( \frac{PV}{T} \right)_{B} < \left( \frac{PV}{T} \right)_{C}$
$\Rightarrow M_{A} > M_{B} > M_{C}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.