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During a quasi-static expansion of a gas in an adiabatic container, the pressure at any moment is given by the equation

PVϒ  = K,
Where ϒ, and K are constants. Show that the work done in expanding from a state (Pi, Vi) to a state (Pf, Vf) is

W = - (PiVi - PfVf)/(ϒ - 1).

If the initial pressure and volume are 106 Pa and 10-3 m3, respectively, and the final values are 2 x 105 Pa and 3.16 x 10-3 m3, respectively, how much work is done on a gas having, ϒ = 1.4?

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