An ideal gaseous sample at initial state i (Po, Vo, To) is allowed to expand to volume 2 Vo using two different process; in the first process the equation of process is 2PV²=K1 and in second process the equation of the process is PV= K2. Then,

Work done in adiabaticprocessW = K1-γVf1-γ-Vi1-γCaluculation of work  done in 1st Process:2PV2 = K1From the equation :PV2 = K12 and γ=2W1 = K121-2Vf-1-Vi-1W1=-K12Vf-1-Vi-1Caluculation of work done in second process : It is expansion work PV1 = K2 ; γ = 1W2 = K21-1Vi1-1-Vf1-1=∞W2 > W1