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WW Treatment Math

Total questions: 19

Worksheet time: 10mins

Name
Class
Date
1.

What is the hydraulic loading rate on a trickling filter in gallons per day per square food (gpd/ft2), given the following data?


Flow = 2.63 mgd
Diameter of trickling filter = 100.1 ft.
Clarifier recirculation rate = 0.22 mgd

a)

90.6 gpd/ft2

b)

138 gpd/ft2

c)

293 gpd/ft2

d)

360 gpd/ft2

2.

What is the estimated biosolids pumping rate for the following wastewater system?


Assume sludge = 8.34 lb/gal

Plant flow = 1.27 mgd

Removed biosolids = 1.08%

Influent total suspended sollids (TSS) = 317 mg/L

Effluent TSS = 105 mg/L

a)

8.57 gpm

b)

17.3 gpm

c)

34.5 gpm

d)

144 gpm

3.

A wastewater treatment pond receives a flow of 243,000 gpd. What is the organic loading rate in pounds of BOD per day per acre (lb BOD/d/acre), if the pond has a surface area of 4.12 acre-ft and the influent BOD concentration is 216 mg/L?

a)

25.9 lb BOD/d/acre

b)

54.6 lb BOD/d/acre

c)

106 lb BOD/d/acre

d)

1,804 lb BOD/d/acre

4.

Calculate the influent flow to a trickling filter in mgd, if the BOD loading is 1,470 lb/d and the BOD is 212 mg/L.

a)

0.8 mgd

b)

0.831 mgd

c)

1.20 mgd

d)

1.42 mgd

5.

What is the soluble BOD if the total BOD is 209 mg/L, the K factor is 0,58, and the suspended solids (SS) are 198 mg/L?

a)

76.8 mg/L

b)

77 mg/L

c)

94 mg/L

d)

323.84 mg/L

6.

Given the following data, calculate the mean cell residence time (MCRT) for this activated sludge system.


Aeration tank and final clarifier volume = 0.677 mil gal

Mixed liquor suspended solids (MLSS) = 3,580 mg/L

Suspended solids (SS) wasted = 1,910 lb/day

Secondary effluent SS = 368 lb/day

a)

6.25 days

b)

7.49 days

c)

8.87 days

d)

10.6 days

7.

What is the food-to-microorganism (F/M) ratio for an aeration tank with a volume of 419,500 gallons, if the primary effluent flow is 5.77 mgd, the MLVSS is 3,095 mg/L, and the BOD is 238 mg/L?

a)

1.06 F/M ratio

b)

1.09 F/M ratio

c)

1.10 F/M ratio

d)

1.12 F/M ratio

8.

Given the following data, determine the seed sludge required in gallons.


Digester has a radius of 24.8 ft.

Liquid level in digester is 16.5 ft.

Requires 15.0 % seed sludge

a)

4,870 gal

b)

23,100 gal

c)

31,800 gal

d)

35,800 gal

9.

What is the solids loading for a dissolved air flotation (DAF) unit in lb/hr/ft2 that is 59.4 ft. by 18.0 ft., with a sludge flow of 0.201 mgd and a WAS concentration of 7,830 mg/L, and the sludge weighs 8.71 lb/gal?

a)

0.534 lb/hr/ft2

b)

4.05 lb/hr/ft2

c)

8.10 lb/hr/ft2

d)

12.8 lb/hr/ft2

10.

Calculate the unseeded BOD in mg/L, given the following data:

Start of test bottle DO = 9.3 mg/L

Bottle was incubated for 5 days in the dark at 20 degrees C.


After 5 days DO = 3.8 mg/L

Sample size = 100 mL

Total volume = 300 mL

a)

1.83 mg/L unseeded

b)

3.10 mg/L unseeded

c)

16.5 mg/L unseeded

d)

27.9 mg/L unseeded

11.

A soda ash is conical at the bottom and cylindrical at the top. If the diameter of the cylinder is 17.5 ft, with a depth of 34.5 ft, and the cone depth is 14.0 ft, what is the volume of the tank?

a)

9,420 ft3

b)

9720 ft3

c)

9,840 ft3

d)

9,980 ft3

12.

What is the solids loading rate for a secondary clarifier, given the following information?


Radius of clarifier = 65.4 ft

Primary effluent flow = 3,779,000 gpd

Return sludge flow = 725,000 gpd

MLSS = 2,110 mg/L

a)

0.71 lb MLSS/d/ft2

b)

2.46 lb MLSS/d/ft2

c)

4.95 lb MLSS/d/ft2

d)

5.90 lb MLSS/d/ft2

13.

Determine the WAS pumping rate in gpm, given the following data:


Amount of WAS to be wasted = 4,380 lb/day

WAS suspended solids concentration = 3,170 mg/L

a)

115 gpm

b)

275 gpm

c)

485 gpm

d)

960 gpm

14.

What is the organic loading rate in lb BOD/d/1,000 ft3 for a trickling filter that is 68.5 ft in diameter and 5.05 ft. deep, if the primary effluent flow is 2.46 mgd and the BOD is 149 mg/L?

a)

122 lb

b)

138 lb

c)

156 lb

d)

164 lb

15.

Given the following data, calculate the cost of running a pump in dollars and cents per day.


Flow = 1.58 mgd

TDH = 167 ft.

Motor efficiency = 89,9%

Pump efficiency = 71.4%

Cost in kilowatt hours = $0.076

a)

$72.09/d

b)

$92.23/d

c)

$98.09/d

d)

$99.93/d

16.

What is the pressure 5.25 ft. from the bottom of a tank at exactly 48 hr after the pumping started, given the following data?


Tank radius = 35.5 ft.

Initial sludge depth = 3.42 ft.

Sludge flow into tank = 72.5 gpm

a)

2.26 psi

b)

2.73 psi

c)

3.8 psi

d)

4.54 psi

17.

What is the organic loading rate in lb BOD/d/1,000ft3 for a trickling filter that is 151 ft. in diameter and 5.10 ft. deep, if the primary effluent flow is 1,220 gpm and the BOD is 207 mg/L?

a)

30.4 lb

b)

33.2 lb

c)

33.7 lb

d)

34.3 lb

18.

What is the air-to-solids ratio for a dissolved air flotation (DAF) unit that has an air flow rate equal to 9.10 ft3/min, a solids concentration of 0.76%, and a flow of 0.185 mgd? Know: Air = 0.0807 lb/ft3 at standard temperature, pressure, and average composition.

a)

0.090 sir-to-solids ratio

b)

0.105 air-to-solids ratio

c)

0.117 air-to-solids ratio

d)

0.75 air-to-solids ratio

19.

How many lb/hr of air does a DAF unit receive, if the unit receives air at an average rate of 0.259 m3/min? Know: Air = 0.0807 lb/ft3 at standard temperature, pressure, and average composition and there are 35.3 ft3/m3.

a)

0.529 lb/hr of air

b)

1.2 lb/hr of air

c)

44.3 lb/hr of air

d)

49.8 lb/hr of air