One mole of an ideal gas at pressure `P_(0)` and temperature `T_(0)` is expanded isothermally to twice ist volume and then compressed at constant pressure to `(V_(0) // 2)` and the gas is brought bac to original state by a process in which `P alpha V` (pressure is direclty proportional to volume). The correct temperature of the process is

Options

A.
B.
C.
D.

Answer

C

Explanation

For isothermal process `V_(f)=2V_(0) :. P_(f)=P_(0)//2`
For isobaric process `V_(f)=V_(0)//2,T_(f)=V_(0)/2xx2V_(0) T_(0)=T_(0)/4`
For `P propto V` process
P-V must be straight line
`T propto V^(2)` Rightarrow V-T must be parabolic
`P^(2) propto T` Rightarrow P-T must be parabolic