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What is the rate law expression for a reaction that is first order with respect

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Question: What is the rate law expression for a reaction that is first order with respect to A and second order with respect to B? (2022)

Options:

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

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

Exam Year: 2022

Solution: 

The rate law for a reaction is determined by the order with respect to each reactant. For a first order with respect to A and second order with respect to B, the rate law is Rate = k[A][B]^2.

What is the rate law expression for a reaction that is first order with respect

Practice Questions

Q1
What is the rate law expression for a reaction that is first order with respect to A and second order with respect to B? (2022)
  1. Rate = k[A][B]^2
  2. Rate = k[A]^2[B]
  3. Rate = k[A]^2[B]^2
  4. Rate = k[A][B]

Questions & Step-by-Step Solutions

What is the rate law expression for a reaction that is first order with respect to A and second order with respect to B? (2022)
  • Step 1: Identify the order of the reaction with respect to each reactant. In this case, it is first order with respect to A and second order with respect to B.
  • Step 2: Write the general form of the rate law expression. The rate law is usually written as Rate = k[A]^m[B]^n, where m is the order with respect to A and n is the order with respect to B.
  • Step 3: Substitute the values of m and n into the general form. Since the reaction is first order with respect to A, m = 1. Since it is second order with respect to B, n = 2.
  • Step 4: Write the final rate law expression by substituting the values: Rate = k[A]^1[B]^2.
  • Step 5: Simplify the expression. Since [A]^1 is just [A], the final rate law is Rate = k[A][B]^2.
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