One of the ingredients in the Native American stomachache remedy derived from common chokecherry is caffeic acid.
a. Combustion of 100 mg of caffeic acid yielded $220 \mathrm{mg}$ $\mathrm{CO}_{2}$ and $40.3 \mathrm{mg} \mathrm{H}_{2} \mathrm{O} .$ Determine the empirical formula of caffeic acid.
b. $A$ solution of $0.272 \mathrm{g}$ caffeic acid in $10.0 \mathrm{g}$ carbon tetrachloride causes the freezing point of the solution to decrease by $4.47^{\circ} \mathrm{C} .$ Given that $K_{\mathrm{f}}$ for $\mathrm{CCl}_{4}$ is $29.8^{\circ} \mathrm{C} / \mathrm{m}$
and that caffeic acid is a nonelectrolyte, calculate the molar mass and molecular formula of caffeic acid.