Let us consider one gm. mole of perfect gas enclosed in cylinder having perfectly insulated walls.
Let it expands adiabatically from an initial volume V1 to a final volume V2. Then work done by gas during the expansion is given by :
Hence, the work done in adiabatic process depends only upon initial & final temperature T1 & T2. Thus the work done along any adiabatic between two isothermal is independent of particular adiabatic.
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