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 :
A. The work done by the gas in the process A to B. exceeds the work that would be done by it, if system were taken along the isotherm.
B. In the T-V diagram, the path AB becomes a part of a hyperbola
C. In the p-T diagram, the path AB becomes a part of a hyperbola
D. In going goind A to B, the temperature T of the gas first decreases to a miniumum value and then increase.