Problem: Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 310 mg HCN per kilogram of air when inhaled.Calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring 13 ft 16 ft 8.0 ft.The density of air at 26°C^circ m C is 0.00118 g/cm3 m g/cm^3.

FREE Expert Solution

We’re asked to calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring 13 ft x 16 ft x 8.0 ft and given the lethal dose of HCN and density of air


Recall that density is the ratio of the mass and volume of an object:


density=massvolume


Also, the volume is given by:


V=l×w×h


where: 

l = length, w = width, h = height


To solve for the amount of HCN (in mg), we need to do these steps:


Step 1: Calculate the volume of the small laboratory room

Step 2: Get the mass of air (inside the room) from its density and volume (from step 1) 

Step 3:  Solve for the lethal amount of HCN in the air inside the room based on its lethal dose


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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.

Calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring 13 ft 16 ft 8.0 ft.
The density of air at 26°C is 0.00118 g/cm3.

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