A shock wave propagates at an average speed of U $=930$ m$/$s in a straight pipe with initially stationary air. Estimate the temperature behind the shock $($to the nearest Kelvin$)$ if the initial temperature in the pipe is $10\backslash$deg C$.$ The ratio of specific heats is $\backslash$gamma $=1\mathrm{.}35$ and the specific gas constant is R $=0\mathrm{.}5$ kJ kg$-1$ K$-1.$ You may consider $0\backslash$deg C $=273\mathrm{.}15$ K$.$