What is the rate constant of a first-order reaction if the half-life is 10 minut

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Question: What is the rate constant of a first-order reaction if the half-life is 10 minutes? (2021)

Options:

Correct Answer: 0.0693 min⁻¹

Solution:

For a first-order reaction, k = 0.693 / t₁/₂. Here, t₁/₂ = 10 min, so k = 0.693 / 10 = 0.0693 min⁻¹.

What is the rate constant of a first-order reaction if the half-life is 10 minutes? (2021)

What is the rate constant of a first-order reaction if the half-life is 10 minutes? (2021)

Step 1: Understand that we are dealing with a first-order reaction, which has a specific formula for the rate constant (k).
Step 2: Recall the formula for the rate constant of a first-order reaction: k = 0.693 / t₁/₂.
Step 3: Identify the half-life (t₁/₂) given in the question, which is 10 minutes.
Step 4: Substitute the half-life value into the formula: k = 0.693 / 10.
Step 5: Perform the calculation: 0.693 divided by 10 equals 0.0693.
Step 6: Write the final answer with the correct units: k = 0.0693 min⁻¹.

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