The following questions illustrate how stereochemical considerations can be used to elucidate aspects of biological mechanisms and reactions.
a. A mixture of ${ }^{3} \mathrm{H}$-labeled 14-A and 14-B was carried through the reaction sequence shown:
D-amino acid oxidase will oxidize only serine having $R$ configuration at $\mathrm{C}(2)$. Glycolate oxidase will remove only the pro- $R$ hydrogen of glycolic acid. Does the product $\left(\mathrm{O}=\mathrm{CHCO}_{2} \mathrm{H}\right)$ contain tritium? Explain your reasoning.
b. Enzymatic oxidation of naphthalene by bacteria proceeds by way of the intermediate cis-diol shown. Which prochiral face of $\mathrm{C}(1)$ and $\mathrm{C}(2)$ of naphthalene is hydroxylated in this process?
<smiles>OC1C=Cc2ccccc2C1O</smiles>c. The biosynthesis of valine by bacteria involves the following sequence:
<smiles>CC(O)C(O)C(=O)O</smiles>
<smiles>CC(C)C(N)C(=O)O</smiles>
The stereochemistry of the reaction has been examined using the starting diol in which each methyl group was separately replaced by $\mathrm{CD}_{3}$. The diol- $d_{3}$ of the $2 R, 3 R$ configuration produces $2 S, 3 S$-valine- $d_{3}$, whereas the $2 R, 3 S$ diol $-d_{3}$ produces $2 S, 3 R$-valine- $d_{3}$. From this information deduce whether the $\mathrm{C}(2)$ and $C(3)$ hydroxy are replaced with inversion or retention of configuration. Show the basis for your conclusion.
d. A synthesis of the important biosynthetic intermediate mevalonic acid starts with the enzymatic hydrolysis of the diester 14-C by pig liver esterase. The pro- $R$ ester group is selectively hydrolyzed. Draw a three-dimensional structure of the product.