The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

Physical Chemistry

Chemistry : The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

The document The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev is a part of the Chemistry Course Physical Chemistry.
All you need of Chemistry at this link: Chemistry

The Collision Theory of Bimolecular Gaseous Reaction.

The reaction between two species takes place only when they are in contact i.e. the reactant species must be collide before they react.
Consider the bimolecular elementary reaction.

A + B → P


rate  

The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

 

The rate of reaction to be proportional to the rate of collision i.e. the mean sped of the molecules, their collision cross-section (σ) and the number of densities of A and B. Using kinetic theory of gases, the rate of bimolecular collisions per second per cm-3 between unlike molecule is given by  
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

 

Where nA & nare number of A and B molecules, dAV is the average collision diameter defined as The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRevand � is the reduced mass defined as The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

 ZAB = collision frequency The detailed analysis of the bimolecular collisions leads to the result that the number of collision per second per cm3 between molecules A and B is given by 

rate = ZAB e-E0 / RT = no. of collision

where E0 = Energy generated by collision then the rate of relative collision is given by

 The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
∴    The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRevThe Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

let              The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

then    The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev     …(1)

we know that               The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

then            The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev  …(2)

The collision theory can be generalized by introducing the steric factor, P, into the equatiohn for the bimolecular rate constant.
Then The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

 

Relation between Ea and E0
By between equation; k = Ae-Ea / RT
By collision theory, The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

Taking natural log we get ln

The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev                    …(1)

 

ln k = ln P + ln M + ln  The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev                   …(2)

Different iate both equation (1) and (2) with respect to T we get

 The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev                     .....(1a)
and

 The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev                       …(2a)

Comparing equation (1a) & (2a) we get

 The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev                  …(3)

The expression for Arrhenius pre-exponential factor using collision theory We know that

k = Ae-Ea / RT                            [by Arrhenius equation]

The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev[by collision theory]
then 

 The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev    …(1)
We know that

 The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev
The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev…(1)

 

The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

then The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev                                 …(2)

Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Dynamic Test

Content Category

Related Searches

The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

,

Semester Notes

,

pdf

,

Extra Questions

,

Objective type Questions

,

Exam

,

study material

,

ppt

,

Sample Paper

,

video lectures

,

Viva Questions

,

Previous Year Questions with Solutions

,

Important questions

,

mock tests for examination

,

The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

,

MCQs

,

Summary

,

shortcuts and tricks

,

The Collision Theory Of Bimolecular Gaseous Reaction - Chemical Kinetics Chemistry Notes | EduRev

,

past year papers

,

Free

,

practice quizzes

;