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2/7/2023

AP Chemistry

Integrated Rate Law, Reaction Mechanisms, and Multistep Energy Diagrams

Easy Integrated Rate Law Problems, Reaction Mechanisms, and Multistep Energy Diagrams for Kids

The document provides a comprehensive overview of integrated rate laws, reaction mechanisms, and multi-step reactions in chemistry. It covers first-order, second-order, and zero-order reactions, explaining their rate laws and applications. The text also delves into reaction mechanisms, elementary steps, and rate-determining steps, offering examples and problem-solving techniques. Energy diagrams for multi-step reactions are discussed, highlighting key concepts like activation energy and intermediates.

...

2/7/2023

59

Integrated Rate Law :
Integrated rate law shows us the relationship
between concentration & time
(1) First order -
> differential-
>integrat

View

Second-Order and Zero-Order Reactions

This page covers second-order and zero-order reactions, providing their differential and integrated rate laws. For second-order integrated rate law, the equation is 1/AA = kt + 1/AA₀, which is important to memorize.

Vocabulary: Zero-order reactions have a rate that is independent of concentration, expressed as Rate = kAA⁰ or simply Rate = k.

The page then transitions to reaction mechanisms, defining them as series of elementary steps by which a chemical reaction occurs. An example of an overall reaction NO2+CONO+CO2NO₂ + CO → NO + CO₂ is given, along with its experimentally determined rate law.

Definition: An intermediate is a substance formed and subsequently used up during a reaction mechanism.

Highlight: Elementary steps are reactions within a mechanism whose rate law can be written directly from its molecularity, which is the number of species that must collide to produce the reaction indicated by that step.

Integrated Rate Law :
Integrated rate law shows us the relationship
between concentration & time
(1) First order -
> differential-
>integrat

View

Elementary Steps and Rate-Determining Steps

This page elaborates on elementary steps and their corresponding rate laws. It provides a table showing various elementary steps and their rate expressions, ranging from unimolecular to termolecular reactions.

The concept of rate-determining steps is introduced, explaining that it is the slowest step in a reaction mechanism and determines the overall rate of the reaction.

Highlight: For a mechanism to be valid, the sum of elementary steps must give the overall balanced equation for the reaction, and the experimental rate law must agree with the rate-determining step.

An example of a valid mechanism is provided for the reaction NO₂ + CO → NO + CO₂, demonstrating how the rate law is determined by the slow, rate-determining step.

Example: The page presents a problem asking to identify the rate-determining step in the reaction 2H₂ + 2NO → N₂ + 2H₂O, given the rate law R = kNONO²H2H₂.

Integrated Rate Law :
Integrated rate law shows us the relationship
between concentration & time
(1) First order -
> differential-
>integrat

View

Multi-step Reactions and Energy Diagrams

This final page discusses complex rate laws and multi-step energy diagrams. It explains that sometimes rate laws may appear not to match the mechanism, but they actually do.

Example: The H₂ + Br₂ → 2HBr reaction is used to illustrate how a seemingly mismatched rate law can be reconciled with the reaction mechanism.

The page concludes with a detailed explanation of multi-step reaction energy diagrams. These diagrams visually represent:

  • Intermediates
  • Number of steps
  • Activation energy EaEa for each step
  • Overall activation energy
  • Enthalpy change ΔHΔH for each step
  • Overall enthalpy change
  • Activated complexes
  • Rate-determining step identifiedbythehighestEaidentified by the highest Ea

Highlight: The rate-determining step in a multi-step reaction is characterized by the longest activation energy barrier on the energy diagram.

Vocabulary: Activated complexes are high-energy, unstable arrangements of atoms formed during a reaction, represented as peaks on the energy diagram.

This comprehensive overview provides students with a solid foundation in understanding complex reaction kinetics and mechanisms.

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AP Chemistry

59

Feb 7, 2023

4 pages

Easy Integrated Rate Law Problems, Reaction Mechanisms, and Multistep Energy Diagrams for Kids

The document provides a comprehensive overview of integrated rate laws, reaction mechanisms, and multi-step reactions in chemistry. It covers first-order, second-order, and zero-order reactions, explaining their rate laws and applications. The text also delves into reaction mechanisms, elementary steps,... Show more

Integrated Rate Law :
Integrated rate law shows us the relationship
between concentration & time
(1) First order -
> differential-
>integrat

Sign up to see the contentIt's free!

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Join milions of students

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Second-Order and Zero-Order Reactions

This page covers second-order and zero-order reactions, providing their differential and integrated rate laws. For second-order integrated rate law, the equation is 1/AA = kt + 1/AA₀, which is important to memorize.

Vocabulary: Zero-order reactions have a rate that is independent of concentration, expressed as Rate = kAA⁰ or simply Rate = k.

The page then transitions to reaction mechanisms, defining them as series of elementary steps by which a chemical reaction occurs. An example of an overall reaction NO2+CONO+CO2NO₂ + CO → NO + CO₂ is given, along with its experimentally determined rate law.

Definition: An intermediate is a substance formed and subsequently used up during a reaction mechanism.

Highlight: Elementary steps are reactions within a mechanism whose rate law can be written directly from its molecularity, which is the number of species that must collide to produce the reaction indicated by that step.

Integrated Rate Law :
Integrated rate law shows us the relationship
between concentration & time
(1) First order -
> differential-
>integrat

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Elementary Steps and Rate-Determining Steps

This page elaborates on elementary steps and their corresponding rate laws. It provides a table showing various elementary steps and their rate expressions, ranging from unimolecular to termolecular reactions.

The concept of rate-determining steps is introduced, explaining that it is the slowest step in a reaction mechanism and determines the overall rate of the reaction.

Highlight: For a mechanism to be valid, the sum of elementary steps must give the overall balanced equation for the reaction, and the experimental rate law must agree with the rate-determining step.

An example of a valid mechanism is provided for the reaction NO₂ + CO → NO + CO₂, demonstrating how the rate law is determined by the slow, rate-determining step.

Example: The page presents a problem asking to identify the rate-determining step in the reaction 2H₂ + 2NO → N₂ + 2H₂O, given the rate law R = kNONO²H2H₂.

Integrated Rate Law :
Integrated rate law shows us the relationship
between concentration & time
(1) First order -
> differential-
>integrat

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Multi-step Reactions and Energy Diagrams

This final page discusses complex rate laws and multi-step energy diagrams. It explains that sometimes rate laws may appear not to match the mechanism, but they actually do.

Example: The H₂ + Br₂ → 2HBr reaction is used to illustrate how a seemingly mismatched rate law can be reconciled with the reaction mechanism.

The page concludes with a detailed explanation of multi-step reaction energy diagrams. These diagrams visually represent:

  • Intermediates
  • Number of steps
  • Activation energy EaEa for each step
  • Overall activation energy
  • Enthalpy change ΔHΔH for each step
  • Overall enthalpy change
  • Activated complexes
  • Rate-determining step identifiedbythehighestEaidentified by the highest Ea

Highlight: The rate-determining step in a multi-step reaction is characterized by the longest activation energy barrier on the energy diagram.

Vocabulary: Activated complexes are high-energy, unstable arrangements of atoms formed during a reaction, represented as peaks on the energy diagram.

This comprehensive overview provides students with a solid foundation in understanding complex reaction kinetics and mechanisms.

Integrated Rate Law :
Integrated rate law shows us the relationship
between concentration & time
(1) First order -
> differential-
>integrat

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Integrated Rate Laws and First-Order Reactions

This page introduces the concept of integrated rate laws and focuses on first-order reactions. Integrated rate laws show the relationship between concentration and time for chemical reactions. For first-order reactions, the rate law is Rate = kAA, where k is the rate constant and AA is the concentration of reactant A.

The integrated form of the first-order rate law is lnAA = -kt + lnAA₀, where AA₀ is the initial concentration. This equation produces a linear graph of lnAA versus time, with a negative slope equal to -k.

Definition: Half-life is the time it takes for half of the original concentration to react.

Example: A problem is presented where the half-life of a reaction is 20.0 minutes. The rate constant is calculated to be 0.347 min⁻¹ using the formula k = 0.693 / t₁/₂.

Highlight: The linear relationship between lnAA and time is a key characteristic of first-order reactions, distinguishing them from other orders.

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

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I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

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Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

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Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

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Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

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This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

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