Podcast
Questions and Answers
What is the integrated rate law expression for a second-order reaction?
What is the integrated rate law expression for a second-order reaction?
What does the half-life of a zero-order reaction depend on?
What does the half-life of a zero-order reaction depend on?
In the context of the Arrhenius equation, what does the symbol $E_a$ represent?
In the context of the Arrhenius equation, what does the symbol $E_a$ represent?
Which of the following equations represents the half-life for a first-order reaction?
Which of the following equations represents the half-life for a first-order reaction?
Signup and view all the answers
What is the form of the rate equation for a zero-order reaction?
What is the form of the rate equation for a zero-order reaction?
Signup and view all the answers
For a first-order reaction, how does the natural logarithm of the concentration change over time?
For a first-order reaction, how does the natural logarithm of the concentration change over time?
Signup and view all the answers
What occurs to the rate constant $k$ as the temperature increases, based on the Arrhenius equation?
What occurs to the rate constant $k$ as the temperature increases, based on the Arrhenius equation?
Signup and view all the answers
Which of the following expressions correctly represents the half-life of a zero-order reaction?
Which of the following expressions correctly represents the half-life of a zero-order reaction?
Signup and view all the answers
In a second-order reaction, how does the concentration relate to time according to the integrated rate law?
In a second-order reaction, how does the concentration relate to time according to the integrated rate law?
Signup and view all the answers
How does the activation energy $E_a$ affect the rate constant $k$ according to the linear Arrhenius form?
How does the activation energy $E_a$ affect the rate constant $k$ according to the linear Arrhenius form?
Signup and view all the answers
Study Notes
Reaction Rates and Integrated Rate Laws
- Reaction Rate: The rate of a reaction is expressed as the change in concentration of a reactant or product per unit time. The equation is: d[A]/dt = k[A]^m[B]^n, where k is the rate constant, [A] and [B] are reactant concentrations, and m and n are the reaction orders (typically integers).
Zero-Order Reaction
- Integrated Rate Law: [A] = [A]0 - kt (where [A]0 is the initial concentration of A)
- Half-life: t1/2 = [A]0 / 2k
First-Order Reaction
- Integrated Rate Law: ln[A] = ln[A]0 - kt
- Half-life: t1/2 = 0.693 / k
Second-Order Reaction
- Integrated Rate Law: 1/[A] = 1/[A]0 + kt
- Half-life: t1/2 = 1 / k[A]0
Arrhenius Equation
- Equation: k = Ae-Ea/RT
- describes the temperature dependence of the rate constant, k, where:
- A = pre-exponential factor
- Ea = activation energy
- R = ideal gas constant
- T = absolute temperature
Linear Arrhenius Form
- Equation: ln k = -Ea/RT + ln A
- This form of the Arrhenius equation allows for determination of activation energy by plotting ln k vs 1/T.
Integrated Rate Laws (Summary)
- Zero-Order: [A] = [A]0 - kt
- First-Order: ln[A] = ln[A]0 - kt
- Second-Order: 1/[A] = 1/[A]0 + kt
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
This quiz covers the concepts of reaction rates and integrated rate laws, focusing on zero, first, and second-order reactions. It includes the Arrhenius equation and discusses the mathematical relationships governing these reactions, helping students understand how to calculate reaction rates and half-lives effectively.
