Question

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<CH 04 HW 60f9 Hydrogen Cyanide Poisoning Constants Periodic Table 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/cm Part A Calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring 12.0 ft x 15.0 ft x 8.50ft. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) TIMÃ 6 + C 3 ? Value Units Submit Part B Complete previous part(s) Part C Complete previous part(s) Provide Feedback Next > MAR lacBook Pro

Answer 1

Volume of the laboratory = 12ft × 15ft × 8.50ft = 1530 ft^3 .

1 ft^3 = 28316.85 cm^3

Therefore 1530 ft^3 = (28316.85cm^3/1ft^3)×1530ft^3 = 43324780.5 cm^3 .

Hence volume of air in the room = 43324780.5 cm^3 .

Density of air = 0.00118 g/cm^3 .

Thus mass of air in the room = volume × density

= 43324780.5 cm^3 × 0.00118g/cm^3

= 51123.241 g × (1kg/1000g) = 51.123 kg air .

So mass of air in the laboratory room = 51.123 kg

Lethal dose of HCN = 300mg/1kg air

Then lethal dose in 51.123 kg will be = (300mg-HCN/1kg-air)×51.123kg-air = 15336.9 mg HCN = 15.3g HCN .

Thus amount of HCN which is lethal dose for this laboratory room is 15.3 g .