Absinthe, a wormwood-flavored liqueur that was highly popular in France from about 1880 to $1914,$ contains thujone, a neurotoxin with an $\mathrm{LD}_{50}$ value (orally in mice) of $87.5 \mathrm{mg} / \mathrm{kg} .$ Absinthe was the subject of famous artworks by Degas, Van Gogh, and others. Banned in 1912 in the United States, the liqueur became legal again in $2007,$ with levels in the commercially distilled product limited to 10 $\mathrm{mg} / \mathrm{L}$ or less. (a) Determine the molecular formula of thujone from the structure below. (b) Estimate the likely lethal dose for a 90-kg person. (c) What is the maximum mass of thujone that a $0.50-\mathrm{L}$ bottle of absinthe can contain?