Consider the ionization of the following acid-base indicator:
The indicator changes color according to the ratios of the concentrations of the acid to its conjugate base. When [HIn]/[In−] ≥ 10. color of acid (HIn) predominates. When [HIn]/[In−] ≤ 0.1, color of conjugate base (In−) predominates. Show that the pH range over which the indicator changes from the acid color to the base color is pH = pKa ± 1, where Ka is the ionization constant of the acid HIn.
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