Class 12 Chemistry Chemical Kinetics Integrated rate equation

Integrated rate equation

Consider the reaction

aA + bB --> cC + dD

Rate = k [A]x[B]y

-dR/dt = k[A]x[B]y

dR/dt is instantaneous rate.

Integrated rate equation for zero order reaction

-dR/dt = k[R]0=k

dR/dt = -k

∫ dR = -k ∫ dt

[R]=-kt +I

At t = 0

R0= -k .0 + I

I = R0

So the equation becomes R = -kt + R0

Graph for this is as follows:

Integrated rate equation for first order reaction

Rate = -dR/dt = k[R]2

 ∫ dR/R= - ∫ kt

ln R = -kt + I

At t = 0

R = R0

ln R0=-k X 0 +I

I = ln R0

So equation becomes

ln R = -kt + ln R0

ln [R0/ R]=-kt

 

Share these Notes with your friends  

< Prev Next >

You can check our 5-step learning process


.