Question

Order of reaction for rate = \( K[A]^{1/2} [B]^{3/2} \) is:

• A. \( \frac{2}{5} \)
• B. \( \frac{4}{3} \)
• C. 2.5
• D. 3

Hint:

The order of a reaction is found by adding the exponents of the concentration terms in the rate law.

Answer 1

The Correct Option is B

Step 1: Understanding the rate law.
The rate law is given by: \[ \text{Rate} = K[A]^{1/2}[B]^{3/2} \] The order of the reaction is the sum of the exponents of the concentration terms in the rate law. In this case:
- The exponent for \( [A] \) is \( \frac{1}{2} \),
- The exponent for \( [B] \) is \( \frac{3}{2} \).

Step 2: Calculate the total order.
The total order is: \[ \text{Total order} = \frac{1}{2} + \frac{3}{2} = \frac{4}{3}. \]

Step 3: Conclusion.
The order of the reaction is \( \frac{4}{3} \), which corresponds to option (2).