An estimated 60% of annual precipitation in a watershed (drainage area = 20000 acres) is evaporated. If the average annual river flow at the outlet of the basin has been observed to be 2.5 cfs, determine the annual precipitation (inches) in the basin.

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Answer:

The answer is 2.715 In

Explanation:

An estimated 60% of annual precipitation in a watershed (drainage area = 20000 acres) is evaporated. If the average annual river flow at the outlet of the basin has been observed to be 2.5 cfs, determine the annual precipitation (inches) in the basin

The annual precipitation in inches in the basin is 2.715 inches.

The solution and steps is explained in the attachment.

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Annual precipitation (inches) in the basin is 2.715 inches

Area of drainage system:

Given that;

Average annual river flow = 2.5 cfs

Annual precipitation = 60%

Area = 20,000 acres

Find:

Annual precipitation (inches) in the basin

Computation:

Average annual river flow = 2.5 cfs

Average annual river flow = 2.5 × 365 × 24 × 60 × 60

Average annual river flow = 78,840,000 ft³

So,

Total precipitation = [tex]\frac{100}{40} \times 78,840,000[/tex]

Total precipitation = 197,100,000 ft³

Drainage area in feet = [tex]20,000[\frac{43560}{1} ][/tex]

Drainage area in feet = 871,200,000 ft²

Annual precipitation (inches) in the basin = [tex]\frac{197,100,000}{871,200,000}[/tex]

Annual precipitation (inches) in the basin = 0.266 ft

Annual precipitation (inches) in the basin = 0.266 × 12

Annual precipitation (inches) in the basin = 2.715 inches

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