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Graphically show the total work done in ...

Graphically show the total work done in an expansion when the state of an ideal gas is changed reversibly and isothermally from `(p_(i), V_(i) )` to `(P_(f) , V_(f) )`. With the help of a pV plot compare the work done in the above case with that carried out against a constant external pressure `p_f`.

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(i) Total work done in an expansion when the state of an ideal gas is changed reversibly and isothermally p from `(p_(i) , V_(i) )` to `(p_(f) , V_(f) )`. Reversible work is represented by the combined areas ABC and BC `V_(i) V_(f)`.

ii) Work against constant pressure, `p_f` is represented by the area `BCV_(i) V_(f)`. Work (i) `gt` work (ii).
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