For a first-order reaction, if the half-life is 10 minutes, what will be the hal

Practice Questions

Q1
For a first-order reaction, if the half-life is 10 minutes, what will be the half-life if the initial concentration is doubled?
  1. 10 minutes
  2. 5 minutes
  3. 20 minutes
  4. 15 minutes

Questions & Step-by-Step Solutions

For a first-order reaction, if the half-life is 10 minutes, what will be the half-life if the initial concentration is doubled?
  • Step 1: Understand what a first-order reaction is. In a first-order reaction, the rate of reaction depends only on the concentration of one reactant.
  • Step 2: Learn about half-life. The half-life is the time it takes for half of the reactant to be consumed.
  • Step 3: Note that for first-order reactions, the half-life formula does not include the initial concentration. It is a constant value.
  • Step 4: Given that the half-life is 10 minutes, this value does not change with different initial concentrations.
  • Step 5: Conclude that if the initial concentration is doubled, the half-life will still be 10 minutes.
  • First-Order Reaction – In a first-order reaction, the rate of reaction is directly proportional to the concentration of one reactant, and the half-life is constant regardless of the initial concentration.
  • Half-Life – The half-life of a reaction is the time required for the concentration of a reactant to decrease to half of its initial value.
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