Coupled ODE for chemical reaction

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To model the chemical reaction A + B --> C using coupled ordinary differential equations (ODEs) in MATLAB, three equations are derived based on the reaction rate given by rate = kAB. The equations are: dC_A/dt = -kC_A*C_B for component A, dC_B/dt = -kC_A*C_B for component B, and dC_C/dt = kC_A*C_B for component C. These equations represent the material balance for each component in a batch reactor. The implementation in MATLAB will allow for plotting the concentration of each component over time. This approach effectively captures the dynamics of the reaction.
numbified
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I have a problem.. for a reaction

A + B --> C

how do i generate 3 coupled differential equations so that i can sole this using MATLAB ?
it is given that rate = kAB

thnks!
 
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numbified said:
I have a problem.. for a reaction

A + B --> C

how do i generate 3 coupled differential equations so that i can sole this using MATLAB ?
it is given that rate = kAB

thnks!

Solve for what? Can you be more specific?
 
I'm not sure what you're asking for, but i think its the material balance to each component in a Batch Reactor, if that's the case, the solution is the following:

For component A:

\frac{dC_{A}}{dt}=-kC_{A}C_{B}


component B:

\frac{dC_{B}}{dt}=-kC_{A}C_{B}


and component C:


\frac{dC_{C}}{dt}=kC_{A}C_{B}



I think i have done this right.

It's now easy to implement this in Matlab and get the C_{i}(t) plots.

Take care.

(sorry, there was a mistake in the MB, i have changed it now)
 
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thank you for your guides
 
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