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Chemistry · Glossary

What is Polyprotic acid?

Definition 10.14 University Chemistry — Year 1 · Chapter 10 — Acid–Base Equilibria and the Predominant-Reaction Method

A polyprotic acid can give several protons in succession, each step with its own constant: phosphoric acid HX3POX4\ce{H3PO4} (pKa\mathrm{p}K_a = 2.15, 7.21, 12.34), carbonic acid (COX2, HX2O\ce{CO2,H2O}; 6.37, 10.33), sulfuric acid (first acidity strong, second 1.99). The successive pKa\mathrm{p}K_a increase: removing a proton from a species that is already negative costs more.

Examples

Example 10.15 (Phosphoric acid at 0.10 mol/L0.10\,\mathrm{mol}/\mathrm{L})

The predominant reaction is the first acidity. With x=[HX3OX+]x = [\ce{H3O+}], x2/(0.10−x)=10−2.15x^2/(0.10 - x) = 10^{-2.15}; here xx is not small compared with CC, so the quadratic x2+Ka1x−Ka1C=0x^2 + K_{a1}x - K_{a1}C = 0 is solved: x=0.0233 mol/Lx = 0.0233\,\mathrm{mol}/\mathrm{L}, pH=1.63\mathrm{pH} = 1.63. The second acidity (pKa2=7.21\mathrm{p}K_{a2} = 7.21) contributes nothing at this pH.

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