Differential Equations in Chemistry

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SUMMARY

The discussion centers on the application of differential equations in the context of a senior design project focused on automated correction of electrolyte chemistry, specifically pH, conductance, and zinc concentration. The student seeks assistance in formulating transfer functions using the Laplace transform of differential equations to model the chemical reactions involving reagents such as distilled water, HCL, NH3, and various salts. The primary challenge is obtaining the appropriate differential equations to represent these chemical processes accurately.

PREREQUISITES
  • Understanding of differential equations and their applications in chemical processes.
  • Familiarity with Laplace transforms and their role in control systems.
  • Knowledge of basic chemistry, particularly acid-base reactions and electrolyte behavior.
  • Experience with transient control analysis techniques in engineering contexts.
NEXT STEPS
  • Research specific differential equations related to acid-base reactions in chemistry.
  • Explore the formulation of transfer functions using Laplace transforms in chemical systems.
  • Investigate transient control analysis methods applicable to electrolyte chemistry.
  • Study the impact of various reagents on pH and conductance in electrochemical systems.
USEFUL FOR

Mechanical engineering students, chemical engineers, and researchers involved in automated chemical processes and control systems will benefit from this discussion.

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.
 

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