For the rate expression rate 3/2 k A B the overall order of a reaction is — Chemical Kinetics Chemistry Question
Question
For the rate expression rate 3/2 k A B the overall order of a reaction is
💡 Solution & Explanation
# Solution: Determining Overall Order of Reaction **Given rate expression:** $$\text{rate} = k[A]^{3/2}[B]^1$$ **Step 1: Identify individual orders** - Order with respect to $A$ = $\frac{3}{2}$ (exponent of $[A]$) - Order with respect to $B$ = $1$ (exponent of $[B]$) **Step 2: Calculate overall order** Overall order = Sum of all individual orders $$\text{Overall order} = \frac{3}{2} + 1 = \frac{3}{2} + \frac{2}{2} = \frac{5}{2} = 2.5$$ **Why this is correct:** The overall order of a reaction is always the algebraic sum of exponents in the rate law expression. Here, we add the powers of concentration terms regardless of whether they are whole numbers or fractions. **Answer: B (Overall order = 2.5 or 5/2)**