#
**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

###### FREE Expert Solution

We’re asked to **c****alculate 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:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the ** volume **is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}{\mathbf{l}}{\mathbf{\times}}{\mathbf{w}}{\mathbf{\times}}{\mathbf{h}}}$

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*

###### 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^circ m C is 0.00118 g/cm^{3} m g/cm^3.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density of Geometric Objects concept. You can view video lessons to learn Density of Geometric Objects Or if you need more Density of Geometric Objects practice, you can also practice Density of Geometric Objects practice problems .

How long does this problem take to solve?

Our expert Chemistry tutor, Dasha took 6 minutes to solve this problem. You can follow their steps in the video explanation above.