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 the T-V diagram, the path AB becomes a part of a parabola
C. in the P-T diagram, the path AB becomes a part of a hyperbola
D. in going from A to B, the temperature T of the gas first increases to a maximum value and then decreases.