• # question_answer The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, ${{V}_{1}}$ and ${{V}_{2}}$. When ${{V}_{1}}>{{V}_{2}}$, the A)                 Curves have the same slope and do not intersect B)                 Curves must intersect at some point other than $T=0$ C)                 Curve for ${{V}_{2}}$ has a greater slope than that for${{V}_{1}}$ D)                 Curve for${{V}_{1}}$has a greater slope than that for${{V}_{2}}$

At constant volumes$P\propto T$                    P = constant T;     PV = nRT $\therefore P=\frac{nR}{V}T$                    slope = $m=\frac{nR}{V}\because {{V}_{2}}<{{V}_{1}}$                                 $\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{{{V}_{2}}}{{{V}_{1}}}\therefore {{m}_{1}}<{{m}_{2}}$ is curve for V2 has a greater slope than for V1