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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 (t1/2) of a first-order reaction? (2020)

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: 2020

Solution: 

The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, which shows that it is independent of the initial concentration.

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 (t1/2) of a first-order reaction? (2020)
  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 (t1/2) of a first-order reaction? (2020)
  • Step 1: Understand what a first-order reaction is. It is a type of chemical reaction where the rate depends on the concentration of one reactant.
  • Step 2: Learn about half-life. The half-life (t1/2) is the time it takes for half of the reactant to be consumed.
  • Step 3: Know that for first-order reactions, the half-life does not change with different starting amounts of reactant.
  • Step 4: The formula for the half-life of a first-order reaction is t1/2 = 0.693/k, where k is the rate constant.
  • Step 5: Recognize that since the formula does not include the initial concentration, the half-life is independent of it.
  • 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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