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For a reaction with a rate constant of 0.1 s^-1, what is the half-life for a fir

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Question: For a reaction with a rate constant of 0.1 s^-1, what is the half-life for a first-order reaction?

Options:

  1. 0.693 s
  2. 6.93 s
  3. 10 s
  4. 0.1 s

Correct Answer: 0.693 s

Solution: 

The half-life for a first-order reaction is given by t1/2 = 0.693/k. Thus, t1/2 = 0.693/0.1 = 6.93 s.

For a reaction with a rate constant of 0.1 s^-1, what is the half-life for a fir

Practice Questions

Q1
For a reaction with a rate constant of 0.1 s^-1, what is the half-life for a first-order reaction?
  1. 0.693 s
  2. 6.93 s
  3. 10 s
  4. 0.1 s

Questions & Step-by-Step Solutions

For a reaction with a rate constant of 0.1 s^-1, what is the half-life for a first-order reaction?
  • Step 1: Identify the formula for the half-life of a first-order reaction, which is t1/2 = 0.693/k.
  • Step 2: Note the given rate constant (k), which is 0.1 s^-1.
  • Step 3: Substitute the value of k into the formula: t1/2 = 0.693/0.1.
  • Step 4: Perform the division: 0.693 divided by 0.1 equals 6.93.
  • Step 5: Conclude that the half-life (t1/2) is 6.93 seconds.
  • First-Order Reaction Kinetics – Understanding the relationship between rate constants and half-life in first-order reactions.
  • Half-Life Calculation – Applying the formula t1/2 = 0.693/k to determine the half-life from the rate constant.
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