Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300 mg HCN per kilogram of air when inhaled.: (a) Calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring 12 * 15 * 8.0 ft. The density of air at 26 °C is 0.00118 g/cm3. (b) If the HCN is formed by reaction of NaCN with an acid such as H2S04, what mass of NaCN gives the lethal dose in the room? 2 NaCN(s) + H2SO4(agHNa2SO4(ag) + 2 HCN(g) (c) HCN forms when synthetic fibers containing Orion® or Acrilan® burn. Acrilan® has an empirical formula of CH2CHCN, so HCN is 50.9% of the formula by mass. A rug measures 12 x 15 ft and contains 30 oz 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.

Answer Given in the question Hydrogen cyanide is a poisonous gas . The lethal dose is 300 mg HCN per kilogram in a small laboratory room measuring 12*15*8.0 ft. The density of air at 26 C =0.00118 g/cm3. Step 1 To calculate the volume of air present in the laboratory room measuring 12*15*80 ft. Volume is the quantity of three dimensional space enclosed by a closed surface ,for example the space that a substance or shape occupies or contains Volume = 12 ft *15*80ft . =1440ft 3. 1 ft=30.5 cm 3 1 ft3 =28372.6 cm Thus 1440 ft =28372.6 cm /1ft *1440 ft 3. Volume of air= 4.08*10 cm 7 3. Step 2 of 8 To calculate the mass of air 3 3 Mass of air (g)=Density(g/cm )*volume (cm ) 3 7 3. =0.00118g/cm *4.08*10 cm =48210.7 g Mass of air =48.2kg . Step 3 of 8 Step 4 of 8