T^{\gamma}P^{1-\gamma} = constant
T_{1}^{\gamma}P_{1}^{1-\gamma}=T_{2}^{\gamma}P_{2}^{1-\gamma}
\dfrac{P_{1}^{1-\gamma}}{P_{2}^{1-\gamma}}=\dfrac{T_{2}^{\gamma}}{T_{1}^{\gamma}}
(\dfrac{P_{1}}{P_{2}})^{1-\gamma}=(\dfrac{T_{2}}{T_{1}})^{\gamma}
(\dfrac{P\times8}{P})^{1-\dfrac{5}{3}}=(\dfrac{T_{2}}{300})^{\dfrac{5}{3}}
T_{2}= 300\times((8)^{-\dfrac{2}{3}})^{\dfrac{3}{5}}
T_{2}= 130.58\ K
T_{2}= 130.58-273 = -142.42\ C
T_{2}=-142\ C