Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300.

Question

Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300. mg HCN per kilogram of air when inhaled. The density of air at 26 C is 0.00118 g/cm3. 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 in the laboratory measures 12.0× 14.0 ft and contains 30.0 oz of Acrilan® fibers per square yard of carpet. If the rug burns, what mass of HCN will be generated in the room? Assume that the yield of HCN from the fibers is 20.0% and that the carpet is 41.0 % consumed. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

area of the carpet =12 ft *14 ft = 168 ft^2

Amount of carpet consumed = 168 sq.ft * 41% = 68.88 sq.ft

1 yard = 9 sq ft.

So, 9 sq.ft contains 30oz orlon.

Amount of orlon in 68.88 sq.ft = 30 oz *68.88 sq.ft/9sq.ft =229.6 oz

Yield of HCN = 229.6 *20% =45.92 oz

mass of HCN generated = 45.9oz

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