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What is the rate constant (k) for a first-order reaction with a half-life of 10

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Question: What is the rate constant (k) for a first-order reaction with a half-life of 10 minutes?

Options:

  1. 0.0693 min^-1
  2. 0.1 min^-1
  3. 0.693 min^-1
  4. 0.5 min^-1

Correct Answer: 0.0693 min^-1

Solution: 

For a first-order reaction, k = 0.693 / t1/2. Thus, k = 0.693 / 10 min = 0.0693 min^-1.

What is the rate constant (k) for a first-order reaction with a half-life of 10

Practice Questions

Q1
What is the rate constant (k) for a first-order reaction with a half-life of 10 minutes?
  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 (k) for a first-order reaction with a half-life of 10 minutes?
  • Step 1: Understand that we are dealing with a first-order reaction.
  • Step 2: Recall the formula for the rate constant (k) for a first-order reaction, which is 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 min.
  • Step 5: Perform the calculation: k = 0.693 divided by 10.
  • Step 6: Calculate the result: k = 0.0693 min^-1.
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