Polyprotic acid versus monoprotic strong base

What is the formula of the titration curve of a polyprotic acid versus a monoprotic strong base?

Comparing eq8, eq19 and eq30 the general equation for a polyprotic acid versus a monoprotic strong base titration is:

10^{-pH}+\frac{C_bV_b}{V_a+V_b}=\frac{K_w}{10^{-pH}}+\frac{C_aV_a}{V_a+V_b}\left \{ \frac{\sum_{i=1}^{n}[i10^{-(n-i)pH}\prod_{j=1}^{i}K_{aj}]}{10^{-npH}+\sum_{i=1}^{n}[10^{-(n-i)pH}\prod_{j=1}^{i}K_{aj}]} \right \}

where n is the basicity of the acid, i.e. the number of replaceable hydrogen atoms in one molecule of the acid.

 

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