An integrated is an equation that expresses the concentrations of reactan

An integrated is an equation that expresses the concentrations of reactants or products as a function of time.
An integrated rate law comes from an ordinary rate law.
See .
Consider the first order reaction
A ? Products
The rate law is: rate = ##r = k[“A”]##
But ##r = -(?[“A”])/(?t)##, so
##-(?[“A”])/(?t) = k[“A”]##
If you don’t know calculus, don’t worry. Just skip ahead 8 lines to the final result.
If you know calculus, you know that, as the ? increments become small, the equation becomes
##-(d[“A”])/(dt) = k[“A”]## or
##(d[“A”])/([“A”]) = -kdt##
If we integrate this differential rate law, we get
##ln[“A”]_t = -kt## + constant
At ##t## = 0, ##[“A”]_t = [“A”]_0##, and ##ln[“A”]_0## = constant
So the integrated rate law for a first order reaction is
##ln [“A”] = ln[“A”]_0 – kt ##
This equation is often written as
##ln(([“A”])/[“A”]_0) = -kt## or
##([“A”])/([“A”]_0) = e^(-kt)## or
In the same way, we can derive the integrated rate law for any other order of reaction.

Don't use plagiarized sources. Get Your Custom Essay on
An integrated is an equation that expresses the concentrations of reactan
Get an essay WRITTEN FOR YOU, Plagiarism free, and by an EXPERT! To Get a 10% Discount Use Coupon Code FIRST39420
Order Essay
Calculator

Calculate the price of your paper

Total price:$26
Our features

We've got everything to become your favourite writing service

Need a better grade?
We've got you covered.

Order your paper