Question

A plot of volume $\left(V\right)$ versus temperature $\left(T\right)$ for a gas at constant pressure is a straight line passing through the origin. The plots at different values of pressure are shown in the figure. Which of the following order of pressures is correct for this gas?

• A. $P_1>P_2>P_3>P_4$
• B. $P_1=P_2=P_3=P_4$
• C. $P_1<P_2<P_3<P_4$
• D. $P_1<P_2=P_3<P_4$

Answer 1

The correct option is C $P_1<P_2<P_3<P_4$


According to Boyle's law, at a particular temperature, $PV=\text{constant}$
Thus,
$P_1{V}_1=P_2{V}_2=P_3{V}_3=P_4{V}_4$
From $P_1$ to $P_4$, the slope of the graph decreases and this indicates that the volume decreases.
As $V_1>V_2>V_3>V_4$, $P_1<P_2<P_3<P_4$