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Question

The statement that is incorrect among the following is:
  1. For an isothermal process, work done in reversible expansion is more than work done in irreversible expansion
  2. For an isothermal irreversible expansion, greater the difference in initial and final pressure, lesser is the work done
     
  3. For an isothermal irreversible compression, greater the difference in initial and final pressure, greater is the work done
  4. None of the above


Solution

The correct option is D None of the above
 We know,
W=Pext(VfVi)
For an expansion work.
Pext=PinitialdP

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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