Comparing the $\mathbf{p} K_{\mathbf{a}}$ Values of Alanine and Polyalanine The titration curve of alanine shows the ionization of two functional groups with $\mathrm{p} K_{\mathrm{a}}$ values of 2.34 and 9.69 corresponding to the ionization of the carboxyl and the protonated amino groups, respectively. The titration of di-, tri-, and larger oligopeptides of alanine also shows the ionization of only two functional groups, although the experimental $\mathrm{p} K_{\mathrm{a}}$ values are different. The trend in $\mathrm{p} K_{\mathrm{a}}$ values is summarized in the table.
$$\begin{array}{lr}\text { Amino acid or peptidep } \boldsymbol{K}_{\mathbf{1}} \mathbf{p} \boldsymbol{K}_{\mathbf{2}} \\
\hline \text { Ala } & 2.349 .69 \\\text { Ala-Ala } & 3.128 .30 \\\text { Ala-Ala-Ala } & 3.398 .03 \\
\text { Ala- (Ala) }_{n^{-}} \text {Ala, } n \geq 4 & 3.427 .94 \\\hline\end{array}$$
(a) Draw the structure of Ala-Ala-Ala. Identify the functional groups associated with $\mathrm{p} K_{1}$ and $\mathrm{p} K_{2}$
(b) Why does the value of $\mathrm{p} K_{1}$ increase with each additional Ala residue in the oligopeptide?
(c) Why does the value of $\mathrm{p} K_{2}$ decrease with each additional Ala residue in the oligopeptide?