General formula for Calcium carbonate

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SUMMARY

The discussion focuses on deriving a general formula for calculating the solubility of calcium carbonate (CaCO3) in aqueous solutions at varying pH levels. Key components include the use of dissociation equilibria, solubility product constant (Kso), and the water ion product. The approach emphasizes the importance of charge balance and mass balances for carbonates and calcium to determine the concentration of calcium. Reference is made to specific equations in pH calculation lectures, particularly equations 9.11, 9.12, and 9.13, which provide essential insights.

PREREQUISITES
  • Understanding of dissociation equilibria
  • Knowledge of solubility product constant (Kso)
  • Familiarity with charge balance and mass balance concepts
  • Basic principles of polyprotic acids and pH calculations
NEXT STEPS
  • Study the derivation of the solubility product constant (Kso) for CaCO3
  • Learn about charge balance equations in aqueous solutions
  • Examine the pH calculation lectures, focusing on equations 9.11, 9.12, and 9.13
  • Research the effects of pH on the solubility of polyprotic acids
USEFUL FOR

Chemists, environmental scientists, and students studying aqueous chemistry or carbonate chemistry will benefit from this discussion.

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How do u derive a general formula (without undue approximations) to calculate the solubility of CaCO3(s) in a aqueous solution at any pH?

Thanks
 
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Start with all equations describing the solution - like dissociation equilibria, Kso, water ion product. Add to that charge balace and mass balances for carbonates and calcium. Solve for concentration of calcium.

That's the most general approach possible.

See pH calculation lectures, and especially lecture on pH of polyprotic acids. Equations 9.11, 9.12 and 9.13 can give you some hints.

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