1 gallon of benzene having a density of 0.88 g/mL is spilled in 200 feet by 150 foot lake having an average depth of 6 feet. What is the concentration of benzene in this contaminated lake?

Respuesta :

Answer:

The concentration of benzene in this contaminated lake would be 653549ng/L.

Explanation:

The concentration C of a contaminant over a body of water of volume V can be obtained as:

C=Mass contaminant / V

In this case, the volume of the body of water:

[tex]V=200ft\cdot150ft\cdot6ft=5097.033m^3[/tex]

The mass of the contaminant (Benzene):

[tex]m=\delta V_{ben}=0.88\frac{g}{ml} 1gal(us)=3.3311kg[/tex]

Therefore:

[tex]C=\frac{m_{ben}}{V_{lake}}=6.53549\cdot10^{-4}kg/m^3=653549ng/l[/tex]

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