Chapter 6, Problem 6E.13E

Interpretation Introduction

Interpretation:

The molar concentrations of $H_{2}S{O}_3,HS{O}_3{}^{-},andS{O}_3{}^{2-}$ present in the final solution of $0.150M{H}_{2}S{O}_3\left(aq\right)$ at $pH$ of $5.50$ have to be calculated.

Concept Introduction:

Fractions of species in a solution of diprotic acid $\left(H_{2}A\right)$ can be calculated as given below.

  $\begin{array}{l}f\left(H_{2}A\right)=\frac{{\left[H_3{O}^{+}\right]}^2}{H}\\ \\ f\left(H{A}^{-}\right)=\frac{\left[H_3{O}^{+}\right]K_{a1}}{H}\\ \\ f\left(A^{2-}\right)=\frac{\left[H_3{O}^{+}\right]K_{a1}{K}_{a2}}{H}\\ \\ Where,H={\left[H_3{O}^{+}\right]}^2+\left[H_3{O}^{+}\right]K_{a1}+K_{a1}{K}_{a2}\end{array}$