question_answer 19)

                  Volume versus temperature graphs for a given mass of an ideal gas are shown in Fig. at two different values of constant pressure. What can be inferred about relation between \[{{P}_{1}}\And {{P}_{2}}\]?                 (a) \[{{P}_{1}}>{{P}_{2}}\]                     (b) \[{{P}_{1}}={{P}_{2}}\]                 (c) \[{{P}_{1}}<{{P}_{2}}\]                     (d) data is insufficient.

Answer:

                  (a) \[PV=RT\] or \[\frac{V}{T}=\,\frac{R}{P}\]                 Thus, slope of \[V-T\] graph \[\propto \,\frac{1}{P}\]