Consider a normal shock wave in pure \(\mathrm{N}_{2}\). The upstream pressure, temperature, and velocity are \(0.1 \mathrm{~atm}, 300 \mathrm{~K}\), and \(3500 \mathrm{~m} / \mathrm{s}\), respectively. Calculate \(T_{2}, p_{2}\), and \(u_{2}\) behind the shock assuming local thermodynamic equilibrium but no chemical reactions. Ignore the electronic energy.