Problem: Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 310 mg HCN per kilogram of air when inhaled.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 13 x 17 ft and contains 30 oz of HCN 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.

FREE Expert Solution

Calculate the area of the rug in square yard (yd2):

1 yd = 3 ft

A=l×wA=13 ft×17 ftA=221 ft2×(1 yd3 ft)2A=221 ft2×1 yd29 ft2

A = 24.5555 yd2


Calculate the mass of Acrilan® in the rug:

1 oz = 28.3495 g

mass Acrilan®=24.5555 yd2×30 oz1 yd2×28.3495 g1 oz

mass Acrilan® = 20884.1 g


Calculate the mass of HCN:

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Problem Details

Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 310 mg HCN per kilogram of air when inhaled.

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 13 x 17 ft and contains 30 oz of HCN 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.

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