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An aeration basin for an activated sludge facility has the following characteristics:

- Length = 90 ft
- Width = 30 ft
- Liquid depth = 12 ft
- MLSS = 4,000 mg/L

The raw wastewater has the following characteristics:

- Flow = 1.2 MGD
- BOD₅ = 220 mg/L
- Suspended solids (SS) = 250 mg/L

A primary clarifier is provided that removes 25% of the BOD₅ and 60% of the suspended solids. The return activated sludge flow rate is 0.8 MGD.

If the primary sludge solids content is 4% solids and the specific gravity is 1.0, the primary sludge volume (ft³/day) is most nearly:

A. 600
B. 1000
C. 4500
D. 60000

Answer :

Final answer:

The primary sludge volume in an activated sludge facility is most nearly 239,680 ft3/day.

Explanation:

To calculate the primary sludge volume, we need to multiply the sludge solids content, specific gravity, and the flow rate of the primary sludge.

Given:

First, we need to convert the flow rate from MGD to ft3/day:

1 MGD = 1,000,000 gallons/day

1 gallon = 7.48 ft3

Therefore, 1 MGD = 1,000,000 * 7.48 ft3/day = 7,480,000 ft3/day

Now, we can calculate the primary sludge volume:

Primary sludge volume = Primary sludge solids content * Specific gravity * Flow rate of primary sludge

= 4% * 1.0 * 0.8 MGD * 7,480,000 ft3/day

Converting MGD to ft3/day:

= 0.04 * 0.8 * 7,480,000 ft3/day

Calculating the primary sludge volume:

= 239,680 ft3/day

Therefore, the primary sludge volume is most nearly 239,680 ft3/day.

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