Q. The figure shows the volume $V$ versus temperature $T$ graphs for a certain mass of a perfect gas at two constant pressures of $P_{1}$ and $P_{2}.$ What inference can you draw from the graphs
A) $P_{1} > P_{2}$
B) $P_{1} < P_{2}$
C) $P_{1} = P_{2}$
D) No interference can be drawn due to insufficient information
Explanation
(a) $\because\theta_{1} < \theta_{2} \Rightarrow \tan\theta_{1} < \tan\theta_{2} \Rightarrow \left( \frac{V}{T} \right)_{1} < \left( \frac{V}{T} \right)_{2}$
Form $PV = \mu RT;\frac{V}{T} \propto \frac{1}{P}$
Hence $\left( \frac{1}{P} \right)_{1} < \left( \frac{1}{P} \right)_{2} \Rightarrow P_{1} > P_{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.