A sanitary landfill with a surface area of 6000 m2 receives a yearly rainfall amount of 300 mm. About 20 percent of this precipitation is runoff and does not infiltrate the surface. A leachate collection system, which is installed underneath the landfill, is 90 percent effective at collecting and treating any water that infiltrates the surface of the landfill.Assuming consistent yearly rainfall amounts, what is the volume of leachate, in m3, that the landfill will be able to treat per year? *

Respuesta :

Answer:

1296 [tex]m^{3}[/tex] of water

Explanation:

Area of landfill is 6000 [tex]m^{2}[/tex]

Rain fall depth is 300 mm = 300 x [tex]10^{-3}[/tex] m

volume of water that fall on the landfill is area x depth of water

v = 6000 x 300 x [tex]10^{-3}[/tex] = 1800 [tex]m^{3}[/tex] of water

20% of this precipitate is runoff i.e 0.2 x 1800 = 360 [tex]m^{3}[/tex]

total volume that infiltrates is 1800 - 360 = 1440 [tex]m^{3}[/tex]

the leachate treatment is 90% effective in treating infiltrates, i.e 90% of 1440 [tex]m^{3}[/tex] = 0.9 x 1440 = 1296 [tex]m^{3}[/tex] of water water is treated yearly

An area where waste material and garbage's are buried in the soil layers and covered with soil for disposing of wastes is called a landfill.

The 1296 [tex]\rm m^{3}[/tex] of volume is required for treating the landfill.

The volume can be estimated as:

Given,

  • The area of landfill = 6000 [tex]\rm m^{2}[/tex]

  • Rain fall depth is 300 mm = [tex]300 \times 10^{-3} \rm m[/tex]

Then,

Volume (v) of water that falls on the landfill:

v = Area x depth of water

[tex]\begin{aligned}\rm v & = 6000 \times 300 \\\\&= 1800 \;\rm m^{3}\end{aligned}[/tex]

20% of this precipitate is runoff:

[tex]\begin{aligned} &= 0.2 \times 1800 \\\\&= 360\end{aligned}[/tex]

Total volume = V

[tex]\begin{aligned}\rm V &= 1800 - 360 \\\\&= 1440 \;\rm m^{3}\end{aligned}[/tex]

Effective amount of treatment = 90% of 1440 [tex]\rm m^{3}[/tex]

[tex]\begin{aligned}&= 0.9 \times 1440 \\&= 1296 \;\rm m^{3} \end{aligned}[/tex]

Therefore, 1296 [tex]\rm m^{3}[/tex] is the volume.

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