Answer:
E = 7333.33 mm
Explanation:
The annual evapotranspiration (E) amount can be calculated using the water budget equation:
[tex] P*A + Q_{in}*\Delta t = E*A + \Delta S + Q_{out}*\Delta t [/tex] (1)
Where:
P: is the precipitation = 2500 mm,
Q(in): is the water flow into the river of the farmland = 5 m³/s,
ΔS: is the change in water storage = 2.5x10⁶ m³,
Q(out): is the water flow out of the river of the farmland = 4 m³/s.
Δt: is the time interval = 1 year = 3.15x10⁷ s
A: is the surface area of the farmland = 6.0x10⁶ m²
Solving equation (1) for ET we have:
[tex] E = \frac{P*A + Q_{in}*\Delta t - \Delta S - Q_{out}*\Delta t}{A} [/tex]
[tex] E = \frac{2.5 m \cdot 6.0 \cdot 10^{6} m^{2} + 5 m^{3}/s \cdot 3.15 \cdot 10^{7} s - 2.5 \cdot 10^{6} m^{3} - 4 m^{3}/s \cdot 3.15 \cdot 10^{7} s}{6.0\cdot 10^{6} m^{2}} [/tex]
[tex] E = 7333.33 mm [/tex]
Therefore, the annual evapotranspiration amount is 7333.33 mm.
I hope it helps you!
