Consider the reversible isothermal expansion of an ideal gas in a closed ststem at two different temeratures `T_(1) "and" T_(2) (T_(1)ltT_(2)).` The correct graphical depiction of the dependence of work done (w) on the final volume (V) is :

Options

A.
B.
C.
D.

Answer

D

Explanation

For reversible isothermal expansion of an ideal gas:
`W=-nRT "In" (V_(2))/(V_(1))` (`V_(2) to` Final volume, `V_(1)to` Initial volume)
`:.|w|=nRT"In"(V_(2))/(V_(1))`
`|w|=nRTIn V_(2) nRTIn V_(1)`
So ina graph of `|w|` versus in `V_(2)`, the intercept cannot be positive.