Chemistry, 08.04.2020 23:49 daveankatie1671
The decomposition of nitramide, O 2 NNH 2 , in water has the given chemical equation and rate law. O 2 NNH 2 ( aq ) ⟶ N 2 O ( g ) + H 2 O ( l ) rate = k [ O 2 NNH 2 ] [ H + ] A proposed mechanism for this reaction is:. ( 1 ) O 2 NNH 2 ( aq ) k 1 ⇌ k − 1 O 2 NNH − ( aq ) + H + ( aq ) (fast equilibrium) ( 2 ) O 2 NNH − ( aq ) k 2 −→ N 2 O ( g ) + OH − ( aq ) (slow) ( 3 ) H + ( aq ) + OH − ( aq ) k 3 −→ H 2 O ( l ) (fast)
Answers: 2
![\large \boxed{{\text{rate} = k\dfrac{[\text{ O$_{2}$NNH$_{2}$]}}{[\text{H}^{+}]}} }](/tpl/images/0590/7183/e4b45.png)
![\rm O_{2}NNH_{2}\xrightarrow[k_{-1}]{k_{1}} O_{2}NNH^{-} + H^{+} \,(fast \, equilibrium)\\\rm O_{2}NNH^{-} \xrightarrow{k_{2}} N_{2}O + \text{OH}^{-} \,(slow)\\\rm H^{+} +\text{OH}^{-}\xrightarrow{k_{3}} H_{2}O\, (fast)](/tpl/images/0590/7183/e3381.png)
![-\dfrac{\text{d[O$_{2}$NNH$_{2}$]} }{\text{d}t} = k_{1}[\text{ O$_{2}$NNH$_{2}$]} - k_{-1}[\text{O$_{2}$NNH$^{-}$]}[\text{H}^{+}]\\\\-\dfrac{\text{d[O$_{2}$NNH$^{-}$]}}{\text{d}t} = k_{2}[\text{ O$_{2}$NNH$^{-}$}]\\\\](/tpl/images/0590/7183/0226f.png)
![k_{1}[\text{ O$_{2}$NNH$_{2}$]} = k_{-1}[\text{O$_{2}$NNH$^{-}$]}[\text{H}^{+}]](/tpl/images/0590/7183/256bc.png)
![[\text{O$_{2}$NNH$^{-}$]} = \dfrac{k_{1}}{k_{-1}}\times \dfrac{[\text{ O$_{2}$NNH$_{2}$]}}{[\text{H}^{+}]}](/tpl/images/0590/7183/1edef.png)
![-\dfrac{\text{d[O$_{2}$NNH$^{-}$]}}{\text{d}t} = \dfrac{k_{1}k_{2}}{k_{-1}}\times \dfrac{[\text{ O$_{2}$NNH$_{2}$]}}{[\text{H}^{+}]}\\\\\text{rate} = k \dfrac{[\text{ O$_{2}$NNH$_{2}$]}}{[\text{H}^{+}]}\\\\\text{The rate law for the reaction is $\large \boxed{\text{rate} = k\dfrac{[\text{ O$_{2}$NNH$_{2}$]}}{[\text{H}^{+}]} }$}](/tpl/images/0590/7183/27d0d.png)
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The decomposition of nitramide, O 2 NNH 2 , in water has the given chemical equation and rate law. O...
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