Volume of room = [tex]7.2 m \times 5.8 m \times 3.9 m[/tex]
= [tex]162.864 m^{3}[/tex]
Now, according to conversion factor, convert 6,400 mg to micrograms
Since, 1 mg is equal to 1000 microgram.
Therefore, 6,400 mg = [tex]6,400 \times 1000[/tex]
= 6,400,000 micrograms of acetone.
To calculate concentration of acetone, divide volume and evaporated amount of acetone in micrograms.
Thus,
Concentration of acetone = [tex]\frac{6,400,000 microgram}{162.864 m^{3}}[/tex]
= 39296.5910 microgram per cubic meter or [tex]3.92\times 10^{4} \mu g/m^{3}\simeq 4.0\times 10^{4} \mu g/m^{3}[/tex]
Hence, concentration of acetone is equal to [tex]4.0\times 10^{4} \mu g/m^{3}[/tex]
The concentration of the acetone in microgram per cubic meter would be 39,297 ug/m3
The area of the room can be calculated as:
Area = length x breadth x height
= 7.2 x 5.8 x 3.9
= 162.864 m3
Mass of acetone that evaporated = 6,400 mg
= 6400 x 1000 microgram
= 6400000 microgram
Concentration of acetone that evaporated in microgram per cubic meter:
= 6400000/162.864
= 39,297 ug/m3
More on calculating concentrations can be found here: https://brainly.com/question/21976669?referrer=searchResults
