Compound \(\mathrm{K}, \mathrm{C}_{5} \mathrm{H}_{10}\) decolored a solution of
\(\mathrm{Br}_{2}\) in carbon tetrachloride. When \(\mathrm{K}\) was dissolved in
cold, concentrated sulfuric acid and then heated with water, L resulted. L,
\(\mathrm{C}_{5} \mathrm{H}_{12} \mathrm{O}\), reacted with chromic acid
\(\mathrm{H}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\) to give \(\mathrm{M}\),
\(\mathrm{C}_{5} \mathrm{H}_{10} \mathrm{O}\). Both \(\mathrm{L}\) and
\(\mathrm{M}\) gave positive iodoform tests. The reaction mixture of the
iodoform test also produced isobutyric acid \(\left(\mathrm{CH}_{3}\right)_{2}
\mathrm{CHCOOH}\). Determine the structure of \(\mathrm{K}, \mathrm{L}\), and
\(\mathrm{M}\).