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In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the tim

Practice Questions

Q1
In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the time required for the concentration to decrease to half? (2020)
  1. 23.1 min
  2. 10.0 min
  3. 20.0 min
  4. 15.0 min

Questions & Step-by-Step Solutions

In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the time required for the concentration to decrease to half? (2020)
  • Step 1: Identify the formula for the half-life of a first-order reaction, which is t₁/₂ = 0.693 / k.
  • Step 2: Substitute the given rate constant k (0.03 min⁻¹) into the formula: t₁/₂ = 0.693 / 0.03.
  • Step 3: Perform the division: 0.693 divided by 0.03 equals 23.1.
  • Step 4: Conclude that the time required for the concentration to decrease to half is 23.1 minutes.
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