Question

# The statement that is incorrect among the following is:For an isothermal process, work done in reversible expansion is more than work done in irreversible expansionFor an isothermal irreversible expansion, greater the difference in initial and final pressure, lesser is the work done  For an isothermal irreversible compression, greater the difference in initial and final pressure, greater is the work doneNone of the above

Solution

## The correct option is D None of the above We know, W=−Pext(Vf−Vi) For an expansion work. Pext=Pinitial−dP For a reversible expansion process, dP tends to zero, hence Pinitial=Pext For an irreversible process dP has a finite value and Pext is lesser than Pinitial greater the Pext greater is the work done. Hence the work done in reversible expansion is greater than irreversible expansion. Between the two irreversible processes,  one with lesser dP has a greater work. For a compression work, Pext=Pinitial+dP For a reversible expansion process, dP tends to zero, hence Pinitial=Pext      For an irreversible process dP has a finite value and Pext is greater than Pinitial  Greater the Pext greater is the work done. Hence the work done in irreversible compression is greater than reversible compression.

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