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Q.

If the boundary of system moves by an infinitesimal amount, the work involved is given by dw=PextdV
For irreversible process, w=PextΔV (where ΔV=VfVi )
For reversible process, Pext=Pint±dPPint
So, for reversible isothermal process w=nRTlnVfVi
2 mole of an ideal gas undergoes isothermal compression along three different paths:
i) reversible compression from Pi=2 bar and Vi=8LtoPf=20bar
ii) a single stage compression against a constant external pressure of 20 bar, and
iii) a two stage compression consisting initially of compression against a constant external pressure of 10 bar until Pgas=Pext, followed by compression against a constant pressure of 20 bar until Pgas=Pext.   

(Use R=0.08 l.atm.mol1.K1 )

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