If the initial pressure and volume are 106nbsppa and

Question

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

PV^ϒ  = K,
Where ϒ, and K are constants. Show that the work done in expanding from a state (P_i, V_i) to a state (P_f, V_f) is

W = - (P_iV_i - P_fV_f)/(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?