Question

For a reaction, A+B\(\rightarrow\)Products, that is a second order reaction. Identify the correct rate expression for reaction from the following.

• A. \(r=K[\text{A}]^{2}[\text{B}]\)
• B. \(r=K[\text{A}]^{3/2}[\text{B}]\)
• C. \(r=K[\text{A}][\text{B}]^{2}\)
• D. \(r=K[\text{A}][\text{B}]\)

Hint:

The overall order is the sum of the powers of the concentration terms in the rate expression.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept
The overall order of a reaction is the sum of the exponents of the concentrations in its rate law.

Step 2: Check each option
(A) \(2 + 1 = 3\). (B) \(\frac{3}{2} + 1 = \frac{5}{2}\). (C) \(1 + 2 = 3\). (D) \(1 + 1 = 2\).

Step 3: Conclusion
Only option (D) gives a total order of 2, so it is the second order rate expression.

Final Answer:
The second order rate expression is \(r = K[\text{A}][\text{B}]\). \[ \boxed{\text{(D) }r=K[\text{A}][\text{B}]} \]