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Questions and Answers
What does the equation ln C2 = ln C1 - k(t2 - t1) represent?
What does the equation ln C2 = ln C1 - k(t2 - t1) represent?
- The change in temperature over time
- The calculation of a reaction rate
- The equilibrium constant of a reaction
- The relationship between concentration and time (correct)
In the equation, what does 'k' typically represent?
In the equation, what does 'k' typically represent?
- The temperature coefficient
- The concentration of reactants
- The time elapsed
- The rate constant (correct)
Which variable indicates the time difference in the equation?
Which variable indicates the time difference in the equation?
- t~1~
- t~2~ - t~1~ (correct)
- ln C~1~
- t~2~
What is the effect of time on concentration according to the equation?
What is the effect of time on concentration according to the equation?
If C1 is greater than C2, what can be inferred about the time interval?
If C1 is greater than C2, what can be inferred about the time interval?
What is the primary operation performed on the concentrations in the equation?
What is the primary operation performed on the concentrations in the equation?
Which of the following interpretations is correct based on the equation?
Which of the following interpretations is correct based on the equation?
Which variable is NOT represented in the equation?
Which variable is NOT represented in the equation?
What does the natural logarithm in the equation indicate about the relationship between concentrations over time?
What does the natural logarithm in the equation indicate about the relationship between concentrations over time?
What happens to ln C2 if k remains constant and the difference in time increases?
What happens to ln C2 if k remains constant and the difference in time increases?
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Study Notes
First-Order Reactions
- The equation ln C
2= ln C1-k(t2-t1) represents the integrated rate law for a first-order reaction. - C
1is the initial concentration of the reactant. - C
2is the concentration of the reactant at time t2. - k is the rate constant of the reaction.
- t
1is the initial time. - t
2is the time at which the concentration is C2. - The equation shows the relationship between the concentration of a reactant over time in a first-order reaction.
- This equation can be used to determine the rate constant, the initial concentration or concentration at a given time in a first-order reaction.
Integrated Rate Law for First-Order Reactions
- The equation ln C₂ = ln C₁ - k(t₂ - t₁) represents the integrated rate law for a first-order reaction.
- C₁ is the initial concentration of the reactant at time t₁.
- C₂ is the concentration of the reactant at time t₂.
- k is the rate constant of the reaction.
- The equation can be used to calculate the concentration of a reactant at any time, or the time it takes for a reactant to reach a certain concentration.
- The equation is a linear relationship, meaning the plot of ln C versus time is a straight line with a slope of -k.
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