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 , excceds the work that would be done by it if system were taken along the isothermal
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 from A to B , the temperature T of the gas first decreases to a minimum value and then increases

Answer

A

Explanation

Work done = `(1)/(2)(p+(p)/(2))V=(3)/(4)pV=0.75pV`
Work done during isothermal process
`RTxx2.3026"log_(10)((2V)/(V))=0.693pV`

Thus , statement (a) is correct.