question_answer

The volume versus temperature T graphs for a certain amount of a perfect gas at two pressures \[{{P}_{1}}\] and \[{{P}_{2}}\] are shown in Fig. Which one is greater - \[{{P}_{1}}\]or \[{{P}_{2}}\]?

Answer:

                For a perfect gas, \[PV=nRT\]                 \[\therefore \]  \[V=\frac{nR}{P}T\]                 \[\therefore \] Slope of \[V-T\]graph with \[\text{T- axis}\] \[=\frac{nR}{P}\]                 For a given amount of gas, slope \[\propto \frac{1}{P}\]