The `p-V` diagrams of same mass of a gas are drawn at two different temperatues `T_(1)` and `T_(2)` Explain whether `T_(1)gtT_(2)` or `T_(2)gtT_(1).`

Explanation

The ideal gas equation is,
`" " pV=nRTorT=(pV)/(nR) T prop pV,` if number of moles of the gas are kept constant. Here mass of the gas is constant, which implies that number of moles are constant, I,e., T `prop` pV.
In the given diagram produco of p and V for `t_(2)` is more than `T_(1)` al all points (keeping either p or V same for both graphs). Hence, `T_(2)gt T_(1)`