Expressions of the Sharpness Index

Knowledge of the mathematical relationship expressing the sharpness index as a function of the parameters that define the conditions of the titration permits us to extricate those that govern the success of the titration. 

The strategy to derive the mathematical expression from the sharpness index is always the same, regardless of the type of titration. It consists of the following steps  

The following expressions of the sharpness index are approximate, as will be seen in Appendices B, C, and D. 

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For the titration of a strong acid with a strong base and conversely, the expression of the sharpness index is (see Appendix B)... 

This is confirmed by the expression of the sharpness index rj, which is nothing more than the slope of the curve at the equivalence point ... 

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