An ideal gas is taken from the state A (pressure p, volume V) to the state B (pressure `p/2`, volume 2V) along a straight line path in the p-V diagram. Select the correct statement(s) from the following.

Options

A. The work done by the gas in the process `A to B` exceeds the work that would be done by it if the system were taken from `A to B` along an isotherm
B. In `T-V` diagram, the path `AB` becomes a part of a parabola
C. In `P-T` diagram, path `AB` becomes a part of a hyperbola
D. In going from `A to B`, the temeparature `T` of the firsrt increases to a maximum value and then decrases

Answer

A, B, C

Explanation

`P=-cV+c (nRT)/(V)=-cV+c`
`T=-kV^(2)+kV So T-V` graph in parabola
`P=-cV+c , V=(nRT)/(P)P=-(cnRT)/(P)+c`
So `P-T` graph in also parabola