In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the tim

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Question: In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the time required for the concentration to decrease to half? (2020)

Options:

23.1 min
10.0 min
20.0 min
15.0 min

Correct Answer: 23.1 min

Solution:

t₁/₂ = 0.693 / k = 0.693 / 0.03 = 23.1 min.

In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the tim

Practice Questions

In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the time required for the concentration to decrease to half? (2020)

23.1 min
10.0 min
20.0 min
15.0 min

Questions & Step-by-Step Solutions

In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the time required for the concentration to decrease to half? (2020)

Step 1: Identify the formula for the half-life of a first-order reaction, which is t₁/₂ = 0.693 / k.
Step 2: Substitute the given rate constant k (0.03 min⁻¹) into the formula: t₁/₂ = 0.693 / 0.03.
Step 3: Perform the division: 0.693 divided by 0.03 equals 23.1.
Step 4: Conclude that the time required for the concentration to decrease to half is 23.1 minutes.

First-order reaction kinetics – Understanding the relationship between the rate constant and the half-life of a first-order reaction.
Half-life calculation – Applying the formula for half-life in first-order reactions, t₁/₂ = 0.693 / k.

In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the tim

What’s inside this PDF?

In a first-order reaction, if the rate constant k is 0.03 min⁻¹, what is the tim

Practice Questions

Questions & Step-by-Step Solutions

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