An ideal gas initially at $300\text{ K}$ and $1.0\times 10^5\text{ Pa}$ occupies a volume of $0.020{\text{ m}}^3$. It undergoes adiabatic expansion to double its volume ($0.040{\text{ m}}^3$). If $\gamma =1.40$, what is the final temperature? ($2^{0.4}\approx 1.32$)