In addition to ammonia, nitrogen forms three other hydrides: hydrazine $\left(\mathrm{N}_{2} \mathrm{H}_{4}\right),$ diazene $\left(\mathrm{N}_{2} \mathrm{H}_{2}\right),$ and tetrazene $\left(\mathrm{N}_{4} \mathrm{H}_{4}\right) .$
(a) Use Lewis structures to compare the strength, length, and order of the nitrogen-nitrogen bonds in hydrazine, diazene, and $\mathrm{N}_{2}$.
(b) Tetrazene (atom sequence $\mathrm{H}_{2} \mathrm{NNN} \mathrm{NH}_{2} )$ decomposes above $0^{\circ} \mathrm{C}$ to hydrazine and nitrogen gas. Draw a Lewis structure for tetrazene, and calculate $\Delta H_{\mathrm{rxn}}^{\circ}$ for this decomposition.