\(\gamma \,\, = \,\frac{{{C_P}}}{{{C_V}}}\,\,\,\)
\(\therefore \,\,\gamma \, - \,1\,\, = \,\,\frac{{{C_P}}}{{{C_V}}}\,\, - \,\,{C_V}\,\,\,\,\therefore \,\,\gamma \, - \,1\,\, = \,\,\frac{{{C_P} - {C_V}}}{{{C_V}}}\,\, = \,\,\frac{R}{{{C_V}}}\,\,\,\,\,\)
\(\therefore \,W\,\, = \,\,\frac{{\mu R({T_1} - {T_2})}}{{\frac{R}{{{C_V}}}}}\,\, = \,\,\mu {C_V}({T_1} - {T_2})\)