Draw the P-T and V-T diagrams for an isothermal process, corresponding to one mole of an ideal gas at an initial pressure and volume ` P_(0)` and `V_(0)` respectively, expanding to a volume `2V_(0)`.

Explanation

The temperature T during the process is, evidently, given by `T=(P_(0)V_(0))/(R )` (for one mole)
Also, for an isothermal process PV = constant
`:.P_(0)V_(0)=P_(2)(2V_(0)) or P_(2)=(P_(0))/(2)`

The P-T graph is a straight line parallel to the pressure axis, with pressure decreasing from `P_(0)` to `P_(0)//2` as shown in figure.
(b) The V-T graph is also a straight line parallel to the volume axis, with volume increasing from `V_(0)` to `2V_(0)` as shown in figure.