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What is the integrated rate law for a first-order reaction?

Practice Questions

Q1
What is the integrated rate law for a first-order reaction?
  1. ln[A] = -kt + ln[A]0
  2. [A] = [A]0 - kt
  3. [A] = [A]0e^(-kt)
  4. 1/[A] = kt + 1/[A]0

Questions & Step-by-Step Solutions

What is the integrated rate law for a first-order reaction?
  • Step 1: Understand that a first-order reaction means the rate of the reaction depends on the concentration of one reactant.
  • Step 2: Identify the reactant concentration as [A].
  • Step 3: Recognize that 'k' is the rate constant for the reaction, and 't' is the time.
  • Step 4: Know that [A]0 represents the initial concentration of the reactant before the reaction starts.
  • Step 5: The integrated rate law formula for a first-order reaction is derived from the relationship between concentration and time.
  • Step 6: Write down the formula: ln[A] = -kt + ln[A]0, where ln is the natural logarithm.
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