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What is the rate law for the reaction A + B → C if the rate is found to be first

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Question: What is the rate law for the reaction A + B → C if the rate is found to be first order in A and second order in B?

Options:

  1. Rate = k[A][B]
  2. Rate = k[A]^2[B]
  3. Rate = k[A][B]^2
  4. Rate = k[A]^2[B]^2

Correct Answer: Rate = k[A][B]^2

Solution: 

The rate law is determined by the orders of the reactants. Since the reaction is first order in A and second order in B, the rate law is Rate = k[A][B]^2.

What is the rate law for the reaction A + B → C if the rate is found to be first

Practice Questions

Q1
What is the rate law for the reaction A + B → C if the rate is found to be first order in A and second order in B?
  1. Rate = k[A][B]
  2. Rate = k[A]^2[B]
  3. Rate = k[A][B]^2
  4. Rate = k[A]^2[B]^2

Questions & Step-by-Step Solutions

What is the rate law for the reaction A + B → C if the rate is found to be first order in A and second order in B?
  • Step 1: Identify the reactants in the reaction. Here, the reactants are A and B.
  • Step 2: Determine the order of the reaction with respect to each reactant. The problem states that the reaction is first order in A and second order in B.
  • Step 3: Write the general form of the rate law. The rate law is usually expressed as Rate = k[A]^m[B]^n, where k is the rate constant, m is the order with respect to A, and n is the order with respect to B.
  • Step 4: Substitute the orders into the rate law. Since the order for A is 1 (first order) and for B is 2 (second order), we substitute m = 1 and n = 2.
  • Step 5: Write the final rate law. The rate law becomes Rate = k[A]^1[B]^2, which simplifies to Rate = k[A][B]^2.
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