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The half-life of a first-order reaction is given by which of the following expre

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Question: The half-life of a first-order reaction is given by which of the following expressions? (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:

For a first-order reaction, the half-life is constant and is given by the formula t1/2 = 0.693/k.

The half-life of a first-order reaction is given by which of the following expre

Practice Questions

Q1
The half-life of a first-order reaction is given by which of the following expressions? (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 given by which of the following expressions? (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. Half-life is the time it takes for half of the reactant to be used up in a reaction.
  • Step 3: Know that for first-order reactions, the half-life does not change as the reaction proceeds. It remains constant.
  • Step 4: Familiarize yourself with the formula for half-life in first-order reactions, 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.
  • First-Order Reactions – First-order reactions have a constant half-life that is independent of the initial concentration of the reactant.
  • Half-Life Formula – The half-life of a first-order reaction is calculated using the formula t1/2 = 0.693/k, where k is the rate constant.
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