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 ln V_(2)/V_(1) (V_(2) to "Final volume", V_(1) to "Initial volume")`
`therefore |w| = nRT ln V_(2)/V_(1)`
`|w| = nRT ln V_(2) - nRT ln V_(1)`
So in a graph of |w| versus ln `V_(2)`, the intercept cannot be positive.