Question

In: Chemistry

What is the parts per million (ppm) of styrene in this enclosure? The enclosure is 8...

What is the parts per million (ppm) of styrene in this enclosure?

The enclosure is 8 x 3 x 3 ft large. Liquid styrene accounts for 4 percent of the size of a tank within the enclosure which is 20 x 20 x 8 inches. What is the ppm of the air?

Styrene has a chemical formula of C6H5CH=CH2. The density of styrene is 0.906 g/cm^3.

Also, according to the cdc, for styrene, 1 ppm = 4.26 mg/m^3

Solutions

Expert Solution

Given data:

The volume of an enclosure = 8 x 3 x 3 ft3, i.e. 2.04 m3.

The volume of a tank within the enclosure = 20 x 20 x 8 in3, i.e. 0.05 m3.

The volume of styrene = 4% of the volume of a tank, i.e. 0.002 m3.

The density of styrene = 0.906 g/cm^3 = 906 Kg/m3.

Mass of styrene = 906*0.002, i.e. 1.812 Kg

Volume of air = (Enclosure's volume - 96% of Tank's volume), i.e. 1.992 m3.

The density of air = 1.22 Kg/m3.

Mass of air = 1.22*1.992, i.e. 2.43 Kg.

Mass fraction for styrene = 1.812/(1.812 + 2.43), i.e. 0.43

Therefore, Concentration of styrene in the given enclosure = 0.43*906*106/4.26 ppm, i.e. 9.1*105 ppm

Mass fraction for air = 1 - 0.43 = 0.57

Therefore, Concentration of air in the given enclosure = 0.57*1.22*106/4.26 ppm, i.e. 1.6*107 ppm


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