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

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Question: In a first-order reaction, if the half-life is 10 minutes, what will be the half-life after doubling the temperature?

Options:

  1. 5 minutes
  2. 10 minutes
  3. 20 minutes
  4. It cannot be determined

Correct Answer: 5 minutes

Solution: 

For first-order reactions, the half-life is independent of concentration but depends on the rate constant, which increases with temperature. Typically, the half-life will decrease, but the exact value requires the Arrhenius equation.

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

Practice Questions

Q1
In a first-order reaction, if the half-life is 10 minutes, what will be the half-life after doubling the temperature?
  1. 5 minutes
  2. 10 minutes
  3. 20 minutes
  4. It cannot be determined

Questions & Step-by-Step Solutions

In a first-order reaction, if the half-life is 10 minutes, what will be the half-life after doubling the temperature?
  • Step 1: Understand that a first-order reaction has a half-life that is independent of the concentration of reactants.
  • Step 2: Know that the half-life depends on the rate constant (k) of the reaction.
  • Step 3: Recognize that the rate constant (k) increases when the temperature increases.
  • Step 4: Remember that for first-order reactions, as the rate constant increases, the half-life decreases.
  • Step 5: Understand that doubling the temperature will likely increase the rate constant significantly, thus decreasing the half-life.
  • Step 6: To find the exact new half-life, you would need to use the Arrhenius equation, but we know it will be less than 10 minutes.
  • First-Order Reactions – In first-order reactions, the rate of reaction is directly proportional to the concentration of one reactant.
  • Half-Life – The half-life of a reaction is the time required for the concentration of a reactant to decrease to half its initial value.
  • Temperature Dependence – The rate constant of a reaction typically increases with temperature, affecting the half-life.
  • Arrhenius Equation – The Arrhenius equation relates the rate constant of a reaction to temperature, providing insight into how temperature changes affect reaction rates.
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