If the half-life of a first-order reaction is 10 minutes, what is the rate const

Practice Questions

Q1
If the half-life of a first-order reaction is 10 minutes, what is the rate constant k?
  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

If the half-life of a first-order reaction is 10 minutes, what is the rate constant k?
  • Step 1: Understand that the half-life (t1/2) of a first-order reaction is the time it takes for half of the reactant to be used up.
  • Step 2: Know the formula for the rate constant (k) of a first-order reaction, which is k = 0.693 / t1/2.
  • Step 3: Substitute the given half-life value (10 minutes) into the formula: k = 0.693 / 10 min.
  • Step 4: Perform the division: 0.693 divided by 10 equals 0.0693.
  • Step 5: Write the final answer with the correct units: k = 0.0693 min^-1.
  • First-Order Reaction Kinetics – Understanding the relationship between half-life and the rate constant for first-order reactions.
  • Half-Life Calculation – Applying the formula for half-life to determine the rate constant.
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