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The reaction 2A+B⟶C+D obeys the rate equation, Rate = k [A]2 [B]1/2. Find the order of this reaction when A is present in large excess. - Chemistry (Theory)

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Question

The reaction \[\ce{2A + B -> C + D}\] obeys the rate equation, Rate = k [A]2 [B]1/2. Find the order of this reaction when A is present in large excess.

Numerical
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Solution

The given reaction is \[\ce{2A + B -> C + D}\]

Rate = k [A]2 [B]1/2

Its concentration remains nearly constant during the reaction.

So, [A]2 is treated as a constant, and the rate law simplifies to:

Rate = k′[B]1/2

where k′ = k[A]2

Effective order of reaction (in the presence of a large excess of A) is `1/2` i.e., half order.

Only the exponent of B matters in this condition.

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