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Overall rate = k[X1][Y2]
k = rate constant
Assuming step (i) to be reversible, its equilibrium constant,
keq = [X]^2/[X2] ⇒ [X]^2 = keq [X2];
[X] = √keq [X2]^(1/2)
From eq (1) and (2)
Rate = kkeq^(1/2) [X2]^(1/2) [Y2]
Overall order = 1/2 + 1/2 + 3/2 = 1.5
- Overall rate = k[X1][Y2]
- Rate = kkeq^(1/2) [X2]^(1/2) [Y2]
- Overall order = 1/2 + 1/2 + 3/2 = 1.5
- Rate is proportional to [X2]^(1/2).
Correct answer: Overall order = 1/2 + 1/2 + 3/2 = 1.5
Solution
The overall order of the reaction is calculated as the sum of the exponents of the concentration terms in the rate law, which is correctly given as 1.5.
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