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

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Question: The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life? (2022)

Options:

  1. t₁/₂ = 0.693/k
  2. t₁/₂ = k/0.693
  3. t₁/₂ = 1/k
  4. t₁/₂ = k/1

Correct Answer: t₁/₂ = 0.693/k

Exam Year: 2022

Solution: 

The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.

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 of the reactant. What is the expression for the half-life? (2022)
  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 of the reactant. What is the expression for the half-life? (2022)
  • Step 1: Understand what half-life means. Half-life is the time it takes for half of a reactant to be used up in a reaction.
  • Step 2: Know that we are talking about a first-order reaction. This means the rate of the reaction depends on the concentration of one reactant.
  • Step 3: Remember 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.
  • Step 5: In this formula, 't₁/₂' is the half-life, '0.693' is a constant, and 'k' is the rate constant of the reaction.
  • First-Order Reactions – Reactions where the rate is directly proportional to the concentration of one reactant.
  • Half-Life – The time required for the concentration of a reactant to decrease to half its initial value.
  • Independence from Initial Concentration – In first-order reactions, the half-life does not depend on the initial concentration of the reactant.
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