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3 years ago

8

Over 30 day period, a lake surface area is 1260 acres. The inflow is 36 cfs, thee outflow is 30 cfs. Seepage loss is 1.5 in. The

total precipitation is 4.0 in. Evaporation loss is 6.0 in. Determine the water level change (inch) for the lake during this period.

1 answer:

Elis [28]3 years ago

5 0

Answer:

-0.1 inches

Explanation:

The net inflow is ...

36 cfs -30 cfs = 6 cfs

The number of seconds in 30 days is ...

(3600 s/h)(24 h/da)(30 da) = 2,592,000 . . . . seconds/(30 days)

Then the volume of inflow is ...

(6 ft^3/s)(2,592,000 s) = 15,552,000 ft^3

The number of square feet in 1260 acres is ...

(1260 ac)(43560 ft^/ac) = 54,885,600 ft^2

So, the increase in depth due to the inflow is ...

(15,552,000 ft^3)/(54,885,600 ft^2) ≈ 0.283353 ft ≈ 3.4002 in

__

The net change in water level is then ...

inflow - seepage + precipitation - evaporation

3.4 in -1.5 in +4.0 in -6.0 in = -0.1 in

The water level change in the period is -0.1 inch.

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