For a first-order reaction, if the half-life is 10 minutes, what will be the hal

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Question: For a first-order reaction, if the half-life is 10 minutes, what will be the half-life if the initial concentration is doubled?

Options:

Correct Answer: 10 minutes

Solution:

For a first-order reaction, the half-life is independent of the initial concentration. Therefore, it remains 10 minutes.

For a first-order reaction, if the half-life is 10 minutes, what will be the half-life if the initial concentration is doubled?

For a first-order reaction, if the half-life is 10 minutes, what will be the half-life if the initial concentration is doubled?

Step 1: Understand what a first-order reaction is. In a first-order reaction, the rate of reaction depends only 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 consumed.
Step 3: Note that for first-order reactions, the half-life formula does not include the initial concentration. It is a constant value.
Step 4: Given that the half-life is 10 minutes, this value does not change with different initial concentrations.
Step 5: Conclude that if the initial concentration is doubled, the half-life will still be 10 minutes.

First-Order Reaction – In a first-order reaction, 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 of its initial value.