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For a reaction A + B → P, the rate law is given by, r = k [A]1/2 [B]2, What is the order of thisreaction?

Question

For a reaction A + B → P, the rate law is given by,

r=k[A]1/2[B]2 r = k \,[A]^{1/2} \, [B]^{2}

What is the order of this reaction?

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Solution

The order of a reaction is determined by the sum of the powers of the concentration terms in the rate law. In this case, the rate law is r = k [A]^1/2 [B]^2.

Step 1: Identify the power of each concentration term. For [A], the power is 1/2, and for [B], the power is 2.

Step 2: Add these powers together. 1/2 (from [A]) + 2 (from [B]) = 2.5

So, the order of this reaction is 2.5.

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