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Divine JEE 1-on-1
The reaction 2NO+Br2→2NOBr2 \mathrm{NO}+\mathrm{Br}_{2} \rightarrow 2 \mathrm{NOBr}2NO+Br2→2NOBr
takes places through the mechanism given below:
NO+Br2⇔NOBr2\mathrm{NO}+\mathrm{Br}_{2} \Leftrightarrow \mathrm{NOBr}_{2}NO+Br2⇔NOBr2 (fast)
NOBr2+NO→2NOBr\mathrm{NOBr}_{2}+\mathrm{NO} \rightarrow 2 \mathrm{NOBr}NOBr2+NO→2NOBr (slow)
The overall order of the reaction is ___________.
Rate K[NOBr2] [NO] [RDS] \mathrm{K}\left[\mathrm{NOBr}_2\right] \quad[\mathrm{NO}] \quad[\mathrm{RDS}] \\K[NOBr2] [NO] [RDS]
keq=[NOBr2][NO][Br2] ⇒[NOBr2] \mathrm{k}_{\mathrm{eq}}=\frac{\left[\mathrm{NOBr}_2\right]}{[\mathrm{NO}]\left[\mathrm{Br}_2\right]} \Rightarrow\left[\mathrm{NOBr}_2\right] keq=[NO][Br2][NOBr2] ⇒[NOBr2]= Keq[NO][Br2] \\ \mathrm{K}_{\mathrm{eq}}[\mathrm{NO}]\left[\mathrm{Br}_2\right] \\ Keq[NO][Br2]
Rate =Keq[NO][Br2] K[NO] =\mathrm{K}_{\mathrm{eq}}[\mathrm{NO}]\left[\mathrm{Br}_2\right] \mathrm{K}[\mathrm{NO}] \\=Keq[NO][Br2] K[NO]
=Keq K[NO]2[Br2] =\mathrm{K}_{\mathrm{eq}} \mathrm{~K}[\mathrm{NO}]^2\left[\mathrm{Br}_2\right]\\ =Keq K[NO]2[Br2]
Overall order =2+1=3
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