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What is the integrated rate law for a first-order reaction?
What is the integrated rate law for a first-order reaction?
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Practice Questions
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Q1
What is the integrated rate law for a first-order reaction?
ln[A] = -kt + ln[A]0
[A] = [A]0 - kt
[A] = [A]0e^(-kt)
1/[A] = kt + 1/[A]0
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The integrated rate law for a first-order reaction is ln[A] = -kt + ln[A]0.
Questions & Step-by-step Solutions
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Q
Q: What is the integrated rate law for a first-order reaction?
Solution:
The integrated rate law for a first-order reaction is ln[A] = -kt + ln[A]0.
Steps: 6
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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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