Question

What is the overall order of the reaction which has the following rate expression? Rate = k[A]$^\frac{1}{2}$[B]$^\frac{3}{2}$

• A. One
• B. Two
• C. Zero
• D. Three

Answer 1

The Correct Option is D

the rate expression:
Rate = k[A]$^\frac{1}{2}$[B]$^\frac{3}{2}$
The order with respect to A is $\frac{1}{2}$ and with respect to B is $\frac{3}{2}$. $\\$ The overall order is obtained by summing the exponents: \(\frac{1}{2} + \frac{3}{2} = 2\).

Answer 2

The rate expression for a given reaction is:
Rate = k[A]^1/2[B]^3/2

The order of the reaction with respect to A is 1/2, and with respect to B is 3/2.

The overall order of the reaction is obtained by summing the exponents of the concentration terms in the rate expression. Thus, the overall order is:
\( \frac{1}{2} + \frac{3}{2} = 2 \).

Therefore, the overall order of the reaction is 2, which indicates the reaction is second-order overall.