\(P^{1-\gamma} T^{\gamma}\,=\) અચળ

\(\therefore \,\,\frac{{{{\text{P}}^{\gamma {\text{ - 1}}}}}}{{{T^\gamma }}} = \) અચળ

\(\therefore \,\,{\left( {\frac{1}{2}} \right)^{0.4}} = {\left( {\frac{{{T_2}}}{{300}}} \right)^{1.4}}\)

\(\,\,\,\,\therefore \,\,\,0.4\,\,\log \,\frac{1}{2} = 1.4[\log \,{T_2} - \log \,300]\)

\(\therefore \,\,\log \,{T_2} = 2.3911\,\,\,\, \Rightarrow \,\,\,{T_2} = 246.1\,K\)