Question

Prolonged exposure to mercury vapor can cause neurological disorder and respiratory problems. For safe air quality control, the concentration of mercury vapor must be under 0.050 mg/m3. Convert this number to µg/L.

Answer 1

given

concentration = 0.05 mg / m3

we know that

1 m3 = 1 m x 1 m x 1 m

now

1 m = 100 cm

co

1 m3 = (100 cm) (100 cm) (100 cm) = 10^6 cm3

now

we know that

1 cm3 = 10-3 L

so

1 m3 = 10^6 x 10-3 L = 1000 L

so

concentration = 0.05 mg / 1000 L

concentration = 5 x 10-5 mg / L

we know tat

1 mg = 10-3 g

so

concentration = 5 x 10-5 x 10-3 g / L

concentration = 5 x 10-8 g / L

concentration = 0.05 x 10-6 g / L

we know that

1 x 1-6 g = 1 ug

so

concentration = 0.05 ug / L

so

0.05 mg /m3 is equal to 0.05 ug/L