Testing of a demolition explosion is to be evaluated. Sensors indicate that the shock wave generated at the instant of explosion is \(30 \mathrm{MPa}\) absolute. If the explosion occurs in air at \(20^{\circ} \mathrm{C}\) and \(101 \mathrm{kPa}\), find the speed of the shock wave, and the temperature and speed of the air just after the shock passes. As an approximation assume \(k=1.4\). Why is this an approximation?