Conserving Momentum in AB+C Reaction

[neelakash]

Homework Statement

For the chemical reaction AB+C=AC+B establish the principle of conservation of linear momentum.

Homework Equations

The Attempt at a Solution

I am totally stuck.Please help a little so that I can proceed further.

 

[chaoseverlasting]

Going by the collision theory, each of the reactant molecules must have sufficient kinetic energy and must collide in the correct orientation for the reaction to proceed, so when the collisions take place, linear momentum is conserved.

 

[neelakash]

Ok,I understand.But,how can I show that from the expression?It is a problem that came in an exam...so,I am to proceed quantitatively.
I do not want you to provide the solution...But,help me to develop the solution.

 

[neelakash]

I am saying that this sort of approach:

(M_A + M_B)*V_AB + M_C*V_C = (M_A + M_C)*V_AC + M_B*V_B

That is for the chamical reaction we may establish the conservation of linear momentum in this way.

I hope I am correct.Please check.

 

[chaoseverlasting]

Yeah, that looks all right. The velocities are vector quantities though.