Question:

If the rate equation for a reaction is \( \frac{dx}{dt} = k[H]^{1/2}[B]^{1/2} \), the order of the reaction is

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The order of a reaction is determined by the sum of the exponents in the rate law.
  • 2
  • \( \frac{1}{2} \)
  • \( \frac{3}{2} \)
  • 1
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the rate law.
The rate equation for the given reaction is: \[ \frac{dx}{dt} = k[H]^{1/2}[B]^{1/2} \] To determine the order of the reaction, we add the exponents of the reactant concentrations: \[ \text{Order} = 1/2 + 1/2 = 1 \] The total order of the reaction is 1. Hence, the correct answer is (C). Step 2: Conclusion.
The order of the reaction is \( \frac{3}{2} \).
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