\(12.86\) A species that can accept two protons is classified as dibasic. The
dibasic molecule 1,2 -ethanediamine, \(\mathrm{H}_{2} \mathrm{NC}_{2}
\mathrm{H}_{4} \mathrm{NH}_{2}\), which has \(\mathrm{p} K_{\mathrm{b} 1}=3.19\)
and \(\mathrm{p} K_{\mathrm{b} 2}=6.44\), is titrated with
\(\mathrm{HCl}(\mathrm{aq})\).
(a) What is the \(\mathrm{pH}\) when \(\left[\mathrm{H}_{2} \mathrm{NC}_{2}
\mathrm{H}_{4} \mathrm{NH}_{2}\right]=\left[\mathrm{H}_{2} \mathrm{NC}_{2}
\mathrm{H}_{4} \mathrm{NH}_{3}{ }^{+}\right]\)?
(b) What is the \(\mathrm{pH}\) when \(\left[\mathrm{H}_{2} \mathrm{NC}_{2}
\mathrm{H}_{4} \mathrm{NH}_{3}{ }^{+}\right]=\left[{ }^{+} \mathrm{H}_{3}
\mathrm{NC}_{2} \mathrm{H}_{4} \mathrm{NH}_{3}{ }^{+}\right]\)?
(c) Which is the predominant species at \(\mathrm{pH}=4.8\) ?