What is the integrated rate law for a first-order reaction?

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Question: What is the integrated rate law for a first-order reaction?

Options:

Correct Answer: ln[A] = -kt + ln[A]0

Solution:

The integrated rate law for a first-order reaction is ln[A] = -kt + ln[A]0.

What is the integrated rate law for a first-order reaction?

What is the integrated rate law for a first-order reaction?

Step 1: Understand that a first-order reaction means the rate of the reaction depends on the concentration of one reactant.
Step 2: Identify the reactant concentration as [A].
Step 3: Recognize that 'k' is the rate constant for the reaction, and 't' is the time.
Step 4: Know that [A]0 represents the initial concentration of the reactant before the reaction starts.
Step 5: The integrated rate law formula for a first-order reaction is derived from the relationship between concentration and time.
Step 6: Write down the formula: ln[A] = -kt + ln[A]0, where ln is the natural logarithm.

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