The half-life of a first-order reaction is dependent on which of the following?

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Question: The half-life of a first-order reaction is dependent on which of the following? (2020) 2020

Options:

Correct Answer: Rate constant

Exam Year: 2020

Solution:

The half-life of a first-order reaction is independent of the initial concentration and is directly proportional to the rate constant.

The half-life of a first-order reaction is dependent on which of the following? (2020) 2020

The half-life of a first-order reaction is dependent on which of the following? (2020) 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 is a constant value that does not change with the initial concentration of the reactant.
Step 4: Recognize that the half-life is directly related to the rate constant (k) of the reaction. A higher rate constant means a shorter half-life.
Step 5: Conclude that the half-life of a first-order reaction is independent of the initial concentration and is directly proportional to the rate constant.

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 – A constant that relates the rate of a reaction to the concentration of reactants in first-order kinetics.