Question

The expression of rate for a chemical reaction is, rate = k[A][B]^n; the order of reaction is

• A. 1
• B. n
• C. n + 1
• D. none of these

Hint:

For a rate expression like \( \text{rate} = k[A][B]^n \), the order of the reaction is the sum of the exponents of the concentration terms.

Answer 1

The Correct Option is C

Step 1: Understand the rate expression.
The rate expression is given as \( \text{rate} = k[A][B]^n \), where \(k\) is the rate constant, \([A]\) and \([B]\) are the concentrations of reactants, and \(n\) is the order with respect to reactant B.
Step 2: Analyze the options.
- 1 (Option A) suggests the reaction is first order, which is not always true in this case. - n (Option B) indicates that the reaction order depends on the concentration of \(B\), which is true for a specific rate expression, but we are considering the combined order of reaction. - n + 1 (Option C) is the correct choice, as the total order of the reaction is the sum of the orders with respect to each reactant. - None of these (Option D) is incorrect as we do have a correct option.
Step 3: Apply to the options.
The correct answer is (C) \( n + 1 \).
Final Answer: \[ \boxed{\text{n + 1}} \]