An ideal gas expands isothermally from volume `V_(1)` to volume `V_(2)`. It is then compressed to original volume `V_(1)` adiabatically . If `p_(1),p_(2)` and W represent the initial pressure , final pressure and the net work done by the gas respectively during the entrie process, then

Options

A. `p_(1)gtp_(2), W=0`
B. `P_(1)gtP_(2), Wgt0`
C. `P_(2)gtP_(1), Wgt 0`
D. `P_(2)gtP_(1), Wlt0`

Answer

D

Explanation

Isothermal process, T = Constant
AB - Isothermal expansion
BC - Adiabatic compression
From the P - V diagram, it is clear that `P_(2)>P_(1)`
Work done during adiabatic compression is more than Isothermal expansion `( because Area BCED > Area ABDE)`
`therefore W<0`