Ch 13 - 104E

Chapter 13, Problem 104E

(choose chapter or problem)

Consider the reaction:

\(2 \mathrm{NH}_{3}(a q)+\mathrm{OCl}^{-}(a q) \longrightarrow \mathrm{N}_{2} \mathrm{H}_{4}(a q)+\mathrm{H}_{2} \mathrm{O}(l)+\mathrm{Cl}^{-}(a q)\)

This three-step mechanism is proposed:

\(\mathrm{NH}_{3}(a q) \ \mathrm{OCl}^{-}(a q) \underset{k_{2}}{\stackrel{k_{1}}{\rightleftharpoons}} \mathrm{NH}_{2} \mathrm{Cl}(a q)+\mathrm{OH}^{-}(a q)\)                    Fast

\(\mathrm{NH}_{2} \mathrm{CI}(a q)+\mathrm{NH}_{3}(a q) \underset{k_{3}}{\longrightarrow} \mathrm{N}_{2} \mathrm{H}_{5}^{+}(a q)+\mathrm{Cl}^{-}(a q)\)                    Slow

\(\mathrm{N}_{2} \mathrm{H}_{5}^{+}(a q)+\mathrm{OH}^{-}(a q) \underset{k_{4}}{\longrightarrow} \mathrm{N}_{2} \mathrm{H}_{4}(a q)+\mathrm{H}_{2} \mathrm{O}(l)\)                    Fast

a. Show that the mechanism sums to the overall reaction.

b. What is the rate law predicted by this mechanism?