The integrated rate law is discussed. First the zero-order integrated rate law is derived two ways - first using a simple algebraic approach and second using the power rule of calculus. Then the integrated rate law is compared with the differential rate law. Differential tells us how concentration affects the rate while integrated tells us how time affects the concentration. Next, the first order integrated rate law is derived. The algebraic derivation uses the experimentally observed fact that the half-life is constant. The calculus derivation uses the power rule again, and is much easier. Both rate laws are graphically compared again. Finally, the 2nd-order integrated rate law is derived, this time just using the power rule of calculus; no algebraic derivation is given.

Then zero, first and second order reactions are summarized in one large informational slide; differential rate law, integrated rate law, half-life, plot of rate vs concentration and plot of concentration vs time, natural log of concentration vs time or inverse concentration vs time are all included.

Finally an example shows how to determine the order of a reaction from experimental data by using the integrated rate law.

General Chemistry II - Lecture 13 - The Integrated Rate Law

These videos are being made because I love teaching general chemistry. Also, I want to provide clear videos that are captioned for the deaf and hard-of-hearing, as well as for international students who use English as a second language (ESL). These video lectures are being used to assess such students as well as hearing students. However, any student of general chemistry should find the lectures very useful. Clear and concise explanations, colorful notes, and simple diagrams are used. All videos are uploaded under the Creative Commons license, so please feel free to use them in any way you.

These videos are hard work on my part, and I enjoy making them. If you continue to watch, then you will not only learn chemistry, but also some interesting things about the state of Hawai'i. Each video normally begins with a short clip taken on location, from somewhere in the Hawaiian Islands. And if you are on the island of O'ahu or happen to visit, then please feel free to stop by Leeward Community College say hello.
Enjoy and Aloha !!!

JAT

Jeffrey A Tibbitt, Ph.D
Lecturer of Chemistry
Office PS-206, (808) 455-0264
jtibbitt@hawaii.edu
Leeward Community College
Pearl City, Hawai'i

** English Captions **

1. Introduction
2. Review Of General Chemistry 1
3. Intermolecular Forces And Phases Of Matter
4. Phase Change Calculations
5. Phase Changes I - Vapor Pressure
6. Phase Changes II - Phase Diagrams
7. Crystal Lattices of Solid Structures
8. Solution Concentrations
9. Solution Formation
10. Solubility of a Solute
11. The Colligative Properties Of Solutions
12. The Rate Of A Chemical Reaction
13. The Differential Rate Law
14. The Integrated Rate Law
15. Rate, Temperature And The Arrhenius Equation

This collection of 15 lectures with Prof. Tibbitt a community college in Hawaii takes you through all the fundamentals of general chemistry covered in college. His lectures are presented in a blackboard, with colorful and beautiful calligraphy.