Air, which can be regarded in this problem as a diatomic perfect gas with $MW=29\frac{g}{\text{m}\text{o}\text{l}},$ is exiting through a small nozzle from a high$-$pressure vessel at $T=20C$ to atmospheric pressure at a linear velocity of $100\frac{m}{s}.$ Estimate the temperature of the air just downstream of the nozzle.