Calculate the area of the rug in square yard (yd^{2}):

1 yd = 3 ft

$\overline{)\mathbf{A}\mathbf{=}\mathbf{l}\mathbf{\times}\mathbf{w}}\phantom{\rule{0ex}{0ex}}\mathbf{A}\mathbf{=}\mathbf{13}\mathbf{}\mathbf{ft}\mathbf{\times}\mathbf{17}\mathbf{}\mathbf{ft}\phantom{\rule{0ex}{0ex}}\mathbf{A}\mathbf{=}\mathbf{221}\mathbf{}{\mathbf{ft}}^{\mathbf{2}}\mathbf{\times}{\mathbf{\left(}\frac{\mathbf{1}\mathbf{}\mathbf{yd}}{\mathbf{3}\mathbf{}\mathbf{ft}}\mathbf{\right)}}^{\mathbf{2}}\phantom{\rule{0ex}{0ex}}\mathbf{A}\mathbf{=}\mathbf{221}\mathbf{}\overline{){\mathbf{ft}}^{\mathbf{2}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}{\mathbf{yd}}^{\mathbf{2}}}{\mathbf{9}\mathbf{}\overline{){\mathbf{ft}}^{\mathbf{2}}}}$

A = 24.5555 yd^{2}

Calculate the mass of Acrilan® in the rug:

1 oz = 28.3495 g

$\mathbf{mass}\mathbf{}\mathbf{Acrilan}\mathbf{\circledR}\mathbf{=}\mathbf{24}\mathbf{.}\mathbf{5555}\mathbf{}\overline{){\mathbf{yd}}^{\mathbf{2}}}\mathbf{\times}\frac{\mathbf{30}\mathbf{}\overline{)\mathbf{oz}}}{\mathbf{1}\mathbf{}\overline{){\mathbf{yd}}^{\mathbf{2}}}}\mathbf{\times}\frac{\mathbf{28}\mathbf{.}\mathbf{3495}\mathbf{}\mathbf{g}}{\mathbf{1}\mathbf{}\overline{)\mathbf{oz}}}$

mass Acrilan® = 20884.1 g

Calculate the mass of HCN:

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 CH_{2}CHCN, 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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