Problem

A 40-hp surface aerator was tested in a 120-ft-diameter tank with a water depth of 8.0 ft....

A 40-hp surface aerator was tested in a 120-ft-diameter tank with a water depth of 8.0 ft. Cobalt chloride catalyst and sodium sulfite were added to the tap water in the tank to remove the dissolved oxygen. The water temperature was 21.9°C, and the dissolved-oxygen saturation was 8.7 mg/l. During the test, the average electric power usage was 33.1 k W, which at 90% efficiency is equivalent to 40.0 hp. From the following time and dissolved- oxygen data, determine the value of KLa corrected to 20° C, and calculate the oxygen transfer rate in pounds per horsepower-hour.

t (min)

Ct(mg/l)

t (min)

Ct(mg/I)

0

0

23

6.5

2

1.0

28

7.1

4

1.9

33

7.5

6

2.7

38

7.7

8

3.1

43

7.9

13

4.9

48

8.0

18

5.9

58

8.3

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