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 volumeP_(0)and V_(0)respectively, expanding to a volume 2V_(0).

Draw the P-T and V-T diagrams for an isothermal process, corresponding

1.	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 volumeP_(0)and V_(0)respectively, expanding to a volume 2V_(0).
Answer» Solution :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.