Enrichment - Derivation of Integrated Rate Equations

1 / 15

# Enrichment - Derivation of Integrated Rate Equations - PowerPoint PPT Presentation

Enrichment - Derivation of Integrated Rate Equations. For a first-order reaction, the rate is proportional to the first power of [A]. . Enrichment - Derivation of Integrated Rate Equations.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Enrichment - Derivation of Integrated Rate Equations' - ketan

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Enrichment - Derivation of Integrated Rate Equations
• For a first-order reaction, the rate is proportional to the first power of [A].
Enrichment - Derivation of Integrated Rate Equations
• In calculus, the rate is defined as the infinitesimal change of concentration d[A] in an infinitesimally short time dt as the derivative of [A] with respect to time.
Enrichment - Derivation of Integrated Rate Equations
• Rearrange the equation so that all of the [A] terms are on the left and all of the t terms are on the right.
Enrichment - Derivation of Integrated Rate Equations
• Express the equation in integral form.
Enrichment - Derivation of Integrated Rate Equations
• Which rearranges to the integrated first order rate equation.
Enrichment - Derivation of Integrated Rate Equations
• Derive the rate equation for a reaction that is second order in reactant A and second order overall.
• The rate equation is:
Enrichment - Derivation of Integrated Rate Equations
• Separate the variables so that the A terms are on the left and the t terms on the right.
Enrichment - Derivation of Integrated Rate Equations
• Then integrate the equation over the limits as for the first order reaction.
Enrichment - Derivation of Integrated Rate Equations
• Which integrates the second order integrated rate equation.
Enrichment - Derivation of Integrated Rate Equations
• For a zero order reaction the rate expression is:
Enrichment - Derivation of Integrated Rate Equations
• Then we integrate as for the other two cases:
Enrichment - Derivation of Integrated Rate Equations
• Which gives the zeroeth order integrated rate equation.
Enrichment - Rate Equations to Determine Reaction Order
• Plots of the integrated rate equations can help us determine the order of a reaction.
• If the first-order integrated rate equation is rearranged.
• This law of logarithms, ln (x/y) = ln x - ln y, was applied to the first-order integrated rate-equation.