What is the rate constant of a first-order reaction if the half-life is 10 minut

Practice Questions

Q1
What is the rate constant of a first-order reaction if the half-life is 10 minutes? (2021)
  1. 0.0693 min⁻¹
  2. 0.1 min⁻¹
  3. 0.693 min⁻¹
  4. 0.5 min⁻¹

Questions & Step-by-Step Solutions

What is the rate constant of a first-order reaction if the half-life is 10 minutes? (2021)
  • Step 1: Understand that we are dealing with a first-order reaction, which has a specific formula for the rate constant (k).
  • Step 2: Recall the formula for the rate constant of a first-order reaction: k = 0.693 / t₁/₂.
  • Step 3: Identify the half-life (t₁/₂) given in the question, which is 10 minutes.
  • Step 4: Substitute the half-life value into the formula: k = 0.693 / 10.
  • Step 5: Perform the calculation: 0.693 divided by 10 equals 0.0693.
  • Step 6: Write the final answer with the correct units: k = 0.0693 min⁻¹.
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