The half-life of a first-order reaction is independent of which of the following

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Question: The half-life of a first-order reaction is independent of which of the following? (2022)

Options:

Correct Answer: Initial concentration

Exam Year: 2022

Solution:

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

The half-life of a first-order reaction is independent of which of the following? (2022)

The half-life of a first-order reaction is independent of which of the following? (2022)

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 is the time it takes for half of the reactant to be used up in the reaction.
Step 3: Recognize that for first-order reactions, the half-life is a constant value. It does not change based on how much reactant you start with.
Step 4: Identify that the half-life formula for a first-order reaction is: t1/2 = 0.693/k, where k is the rate constant.
Step 5: Conclude that since the half-life depends only on the rate constant (k) and not on the initial concentration, it is independent of the initial concentration.

First-Order Reactions – In first-order reactions, the rate of reaction is directly proportional to the concentration of one reactant, and the half-life is constant regardless of the initial concentration.
Half-Life – The half-life of a reaction is the time required for the concentration of a reactant to decrease to half its initial value.