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For a first-order reaction, if the half-life is 10 minutes, what is the rate con

Practice Questions

Q1
For a first-order reaction, if the half-life is 10 minutes, what is the rate constant?
  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

For a first-order reaction, if the half-life is 10 minutes, what is the rate constant?
  • Step 1: Understand that we are dealing with a first-order reaction.
  • Step 2: Know that the formula for the half-life (t1/2) of a first-order reaction is t1/2 = 0.693/k.
  • Step 3: Identify the given half-life, which is 10 minutes.
  • Step 4: Rearrange the formula to solve for the rate constant (k): k = 0.693/t1/2.
  • Step 5: Substitute the half-life value into the rearranged formula: k = 0.693/10 min.
  • Step 6: Calculate the value: k = 0.0693 min^-1.
  • First-order reaction kinetics – Understanding the relationship between half-life and rate constant for first-order reactions.
  • Half-life formula – Application of the formula t1/2 = 0.693/k to calculate the rate constant.
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