Differential Equations in Chemistry

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EngInTraining
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Hello,

I'm a mechanical engineering student working on my senior design project. It involves the automated correction of an electrolyte's chemistry. That being the pH, conductance, and zinc concentration.

One of the tasks is to apply a "transient control analysis". This involves creating transfer functions to predict the response of an input (for example, X moles of HCL). My problem is figuring out how to do this with the chemical equations available. The equations in a transfer function (which is simply the Laplace of a differential equation) needs to be in differential form.

Does anyone have an idea of what or where I can find these differential equations? For now, the correcting reagents are:

1. Distilled Water
2. HCL
3. NH3
4. Salts (maybe)

If you need more information, I will do the best I can.

Thank you in advance for your help.
 
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Are you trying to do something like:

X HCL + W compound1 -> Y compound2 + Z compound3

Perhaps some more information on the chemical equations you're specifically trying to work with would help.