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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. What is the expression for the half-life (t1/2) of a first-order reaction? (2022)

Options:

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

Correct Answer: t1/2 = 0.693/k

Exam Year: 2022

Solution: 

The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, where k is the rate constant.

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 (t1/2) of a first-order reaction? (2022)
  1. t1/2 = 0.693/k
  2. t1/2 = k/0.693
  3. t1/2 = 1/k
  4. t1/2 = k/2

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 (t1/2) of a first-order reaction? (2022)
  • 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: Recognize that we are talking about a first-order reaction. In this type of reaction, the rate depends only on the concentration of one reactant.
  • Step 3: Note 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: Identify that 'k' in the formula is the rate constant, which is a specific value for each 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.
  • Rate Constant (k) – A constant that relates the rate of a reaction to the concentration of reactants in first-order kinetics.
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