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# A lake has an area of 15 km2. Observation of hydrological variables

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## A lake has an area of 15 km2. Observation of hydrological variables during a certain year has shown as follows:

Precipitation = 700 mm/year,

Average inflow Qin = 1.4 m2/s;

Average outflow Qout = 1.6 m/s

Assume that there is no net water exchange between the lake and the groundwater. What is the evaporation during this year?

### Detailed Solution for Civil Engineering Exam

Precipitation (P) = 700 mm/yr

Avg inflow (Qin) = 1.4 m 3/sec

Avg Outflow (Qout) = 1.6 3/sec

lake area = 15 km2

Assuming no chance in storage in a year, we have

Inflow – Outflow = 0

Inflow = Outflow

(700 * 10-3 * 15 * 106) + (1.4 * 365 * 24 * 60 * 60) = (1.6 * 365 * 24 * 60 * 60) + (E * 10-3 * 15 * 106)

(where E = evaporation in mm/yr)

solving we get

E = 279.52 mm/yr

E = 280 mm/yr

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