For the reaction 2NO+Br2→2NOBrthe following mechanism has been given: NO+Br2⇌NOBr2 NOBr2+NO→2NOBr(slow) Hence, the rate law is :
A
k[NO]2[Br2]
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B
k[NO][Br2]
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C
k[NOBr2][NO]
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D
k[NO][Br2]2
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Solution
The correct option is Ak[NO]2[Br2] ThemechanismisgivenasNO+Br2KC⇌NOBr2NOBr2+NOslow−→2NOBrSo,therateofthereactionis,dxdt=k[NOBr2][NO].......(1)Kc=[NOBr2][NO][Br2]......(2)⇒[NOBr2]=Kc[NO][Br2]puttingthisvalueof[NOBr2]inequation(1),wegetdxdt=kKc[NO]2[Br2]=k′[NO]2[Br2]