Dust falls on Chicago at a rate of 65mg m-2 day-1. Major metallic elements in the dust include Al, Mg, Cu, Zn, Mn, and Pb^5. Pb accumulates at a rate of 0.03mg m-2 day-1. How many metric tons (1 metric ton=1000kg) of Pb fall on the 535 square kilometers of Chicago in 1 year?

Respuesta :

Answer:

5.86 Tons of Pb fall on the 535 square kilometers of Chicago in 1 year.

Explanation:

Rate of accumulation of Pb = [tex]0.03 mg/m^2 day[/tex]

Area of Chicago , A= [tex]535 km^2=535\times 1,000,000 m^2[/tex]

[tex]1 km^2=1,000,000 m^2[/tex]

Amount of Pb accumulated in an year in Chicago:

[tex]=0.03 mg/m^2 day\times A\times 1 year[/tex]

[tex]=0.03 mg/m^2 day\times A\times 365 days[/tex]

1 year = 365 days

[tex]=0.03 mg/m^2 day\times 535\times 1,000,000 m^2 \times 365 days[/tex]

[tex] 1 mg = 10^{-6} kg[/tex]

[tex]=0.03\times 10^{-6} kg/m^2 day\times 535\times 1,000,000 m^2 \times 365 days[/tex]

[tex]=5,858.25 kg[/tex]

(1 metric ton=1000 kg)

[tex]=5,858.25 kg=5,858.25\times 0.001 Ton=5.85825 Tons\approx 5.86 Tons[/tex]

5.86 Tons of Pb fall on the 535 square kilometers of Chicago in 1 year.