The following mechanism has been proposed for the reaction of NO with Br2 to form NOBrNO(g)+Br2(g)→NOBr2(g),NOBr2(g)+NO(g)→2NOBr(g)If the second step is the rate determining step, the order of the reaction with respect to NO (g) is

NO+Br2→NOBr2Keq=NOBr2NOBr2⇒NOBr2=KeqNOBr2.......(1)NOBr2+NO→2NOBr2 R=KNOBr2NO=Keq.KNO2Br2=K1NO2Br2

NO+Br2→NOBr2Keq=NOBr2NOBr2⇒NOBr2=KeqNOBr2.......(1)NOBr2+NO→2NOBr2 R=KNOBr2NO=Keq.KNO2Br2=K1NO2Br2

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The following mechanism has been proposed for the reaction of NO with ${Br}_{2}$ to form NOBr
${NO}_{(g)} + {Br}_{2}_{(g)} \to {NOBr}_{2}_{(g)}, {NOBr}_{2}_{(g)} + {NO}_{(g)} \to 2 {NOBr}_{(g)}$
If the second step is the rate determining step, the order of the reaction with respect to NO (g) is

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$NO + {Br}_{2} \to {NOBr}_{2}$

$K_{eq} = \frac{[{NOBr}_{2}]}{[NO] [{Br}_{2}]} \Rightarrow [{NOBr}_{2}] = K_{eq} [NO] [{Br}_{2}] . . . . . . . (1)$

${NOBr}_{2} + NO \to 2 {NOBr}_{2}$

$R = K [{NOBr}_{2}] [NO] = K_{eq .} K {[NO]}^{2} [{Br}_{2}] = K^{1} {[NO]}^{2} [{Br}_{2}]$

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