Conserving Momentum in AB+C Reaction

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Homework Help Overview

The discussion revolves around the principle of conservation of linear momentum in the context of a chemical reaction represented by the equation AB + C = AC + B. Participants are exploring how to establish this principle quantitatively, particularly in relation to collision theory.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the necessity of sufficient kinetic energy and correct orientation for reactant collisions. There is an attempt to formulate a mathematical expression to demonstrate momentum conservation, with one participant suggesting a specific equation to represent the reaction.

Discussion Status

The conversation is ongoing, with some participants providing guidance on how to approach the problem mathematically. There is acknowledgment of the need for a quantitative demonstration, and while one participant expresses confidence in their proposed equation, others are still seeking clarification and further development of the solution.

Contextual Notes

One participant notes that the problem is from an exam, indicating a potential constraint on the level of assistance that can be provided. The discussion includes an emphasis on the vector nature of velocities involved in the reaction.

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

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