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Cubic Equation for pH Calculation in Monobasic Acid Titrations: Cases and Derivation

This article explores the derivation of a cubic equation for precise pH calculation in monobasic acid titrations, covering three cases. It also discusses the degree of titration and general features of titration curves derived from logarithmic acid-base diagrams.

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Cubic Equation for pH Calculation in Monobasic Acid Titrations: Cases and Derivation

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  1. The derivation of the cubic equation for the exact calculation of the pH of a monobasic acid:

  2. Case 1

  3. Case 2

  4. Case 3

  5. The cubic equation has to be solved. Case 3

  6. Case 2

  7. Case 4

  8. Case 5

  9. Acid-Base Titrations The degree of titration: The degree of titration is useful to standardize the titration curves.

  10. General features of titration curves derived from logarithmic acid-base diagrams: • Dilution during titration is neglected. • Only specific points are transcribed from the acid-base diagram to the titration diagram. (Complete titration diagrams can easily be drawn with the free program http://www2.iq.usp.br/docente/gutz/Curtipot_.html, which displays pH as function of added volume of titrator.

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