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Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is
approximately 300 mg HCN per kilogram of air when inhaled.
(c) HCN forms when synthetic fibers containing Orlon® or Acrilan
® burn. Acrilan® has an empirical formula of CH2CHCN,
so HCN is 50.9% of the formula by mass. A rug measures
3.5 * 4.5 m and contains 850 g of Acrilan® fibers per square
yard of carpet. If the rug burns, will a lethal dose of HCN be
generated in the room? Assume that the yield of HCN from
the fibers is 20% and that the carpet is 50% consumed.