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Energy is added to a piston-cylinder arrangement. The piston is withdrawn in such a way that the temperature remains constant. The initial pressure and volume are 200 KPa and 2m^3, respectively. If the final pressure is 100 KPa, determine the work done by the ideal gas on the piston. ( Assume T1 & T2 are constant)

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  1. If temperature is constant,

    P = Po*Vo/V

    and Work out = Integral of P dV
    (from V1 to V2)

    = (Po*Vo) * Integral of dV/V

    = Po*Vo ln(V2/V1)

    = Po*Vo ln(P1/P2)

    = 400 ln2 kJ

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