Prove that work done is equal to P Delta V
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In a quasistatic process (reversible), the difference between the external pressure and the internal pressure is infinitesimal for each infinitesimal change in the volume of the system.
Pext=Pint±dPPext=Pint±dP,
As you know that the term for work in terms of pressure is given by, dW=PdVdW=PdV. This means that work obtained will be maximum if the pressure is maximum for each infinitesimal change in volume.
In a reversible process, the work done in each step obtained is maximum since the external pressure in only infinitesimally greater (or smaller) than the internal pressure.
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