The half-life of a first-order reaction is independent of the initial concentrat

Practice Questions

Q1
The half-life of a first-order reaction is independent of the initial concentration. What is the expression for the half-life?
  1. t₁/₂ = 0.693/k
  2. t₁/₂ = k/0.693
  3. t₁/₂ = 1/k
  4. t₁/₂ = k/1

Questions & Step-by-Step Solutions

The half-life of a first-order reaction is independent of the initial concentration. What is the expression for the half-life?
  • Step 1: Understand what half-life means. Half-life is the time it takes for half of a substance to react or decay.
  • Step 2: Know that a first-order reaction is a type of chemical reaction where the rate depends on the concentration of one reactant.
  • Step 3: Recognize that for first-order reactions, the half-life does not change with different starting amounts of the reactant.
  • Step 4: Learn the formula for the half-life of a first-order reaction, which is t₁/₂ = 0.693/k, where k is the rate constant.
  • Step 5: Remember that 0.693 is a constant that comes from the natural logarithm of 2, which is used in this formula.
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