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Question

# In the following reaction : 2NO+O2k′→2NO2 What is the predicted rate law, if the mechanism is given as : NO+O2Keq⇌NO3 (Fast) NO3+NOk1−→NO2+NO2 (Slow)

A
r=k1Keq[NO][O2][NO3]
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B
r=k1Keq[NO][O2]
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C
r=k1Keq[NO]2[O2]
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D
r=k1Keq[NO]2
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Solution

## The correct option is C r=k1Keq[NO]2[O2]The rate of the reaction is always decided by the slowest step of the reaction. The rate will be r=k1[NO3][NO] ....(1) The first step of the reaction is in equilibrium ∴ Keq=[NO3][NO][O2] ∴[NO3]=Keq[NO][O2] Substituting the value of [NO3] in eqn (1) r=k1Keq[NO][O2][NO] r=k1Keq[NO]2[O2]

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