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Dear Student,
If the gas expands reversibly, the external pressure (Pext) can be replaced by a single value (P) which represents both the pressure of the gas and the external pressure.
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why we called this intermediate isothermal
Dear Student,
Work done in the irreversibleisothermal expansion : Two types of irreversible isothermal expansions are observed, i.e., (a) Free expansion and (b) Intermediate expansion. In free expansion, the external pressure is zero, i.e., work done is zero when a gas expands in a vacuum. In intermediate expansion, the external pressure is less than gas pressure. So, the work done when the volume changes from V1 to V2 is given by
W = (-int_{v1}^{v2}P_{ext} imes dV) = - Pext (V2 - V1)
Since Pext is less than the expressure of the gas, the work done during intermediate expansion is numerically less than the work done during reversible isothermal expansion in which P ext is almost equal to Pgas .
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