Determine the rate law that is consistent with the following mechanism: Step 1: OCl− + H2O ⇄ HOCl + OH− (fast) Step 2: I− + HOCl HOI + Cl− (slow) A) Rate = k[OCl−][H2O] B) Rate = k[I−][HOCl] C) Rate = k[OCl−][H2O][I−] D) Rate = k[OCl−][H2O]/[I−] E) Rate = k[OCl−][H2O]/[OH−] F) Rate = k[OCl−][H2O][I−]/[OH−]
Step 1: OCl− + H2O ⇄ HOCl + OH− (fast)
Step 2: I− + HOCl —> HOI + Cl− (slow)
Rate depends on the slowest step
So rate law can be written as:
rate = k2 [I-][HOCl]
Since [HOCl] is an intermediate, we will need to remove this
Since 1st step is an equilibrium process,
Kc = [OCl-][H2O]/[HOCl][OH-]
so,
[HOCl] = [OCl-][H2O]/Kc[OH-]
Put this in rate expression:
rate = k2 [I-][HOCl]
rate = k2 [I-][OCl-][H2O]/Kc[OH-]
Let k2/kc be k
so above expression becomes
rate = k [I-][OCl-][H2O]/[OH-]
This matches option F
Answer: F
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