The annual storage in Broad River watershed is 0 cm/y. Annual precipitation is 100 cm/y and evapotranspiration is 50 cm/y. The sandy loam soil in the watershed has an infiltration rate of 5 × 10-7 cm/s. The area of the watershed is 40 km2. Calculate the annual flow at the outlet of Broad River. What is the runoff coefficient for this watershed?

The annual flow at the outlet of Broad River is 13688480 m³

The runoff coefficient for the watershed is 0.342212

Explanation:

Here, we have

The annual storage in  the watershed = 0 cm/y

Annual precipitation = 100 cm/y

Annual evapotranspiration = 50 cm/y

infiltration rate = 5 × 10-7 cm/s

Watershed area = 40 km²

From the question, annual infiltration rate is given by

Annual infiltration rate = 5 × 10-7 cm/s × ‪31557600‬ s/year = 15.7788 cm/y

Therefore, annual flow =

Annual precipitation - Annual evapotranspiration - Annual infiltration rate - Annual storage in  the watershed

Annual flow = 100 cm/y - 50 cm/y  - 15.7788 cm/y - 0 cm/y = 34.2212 cm/y

The area of the watershed = 40 km²

Therefore, the volume of the annual flow is given by;

Height of annual flow × area of the watershed

Volume of annual flow = 34.2212 cm × 40 km²  =  1368.848 cm·km²

= 13688480 m³

The runoff coefficient = =

The amount of precipitation received is given by

100 cm × 40 km² = 4000 cm·km² = 40000000 m³

Runoff coefficient = = 0.342212.

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