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Question
A hydroelectric power plant has the following parameters:
Flow rate (Q) = 50 m³/s
Electrical power output (Pout) = 8 MW
Water density (ρ) = 1000 kg/m3
Acceleration due to gravity (g) = 10 m/s2
To achieve an overall efficiency of 80%, what should be the required net head (H)?
A.
19.50 m
B.
22.15 m
C.
18.75 m
D.
20 m
Answer ( Option D)

20 m

Solution

Pout = 8 × 106 W
η = 0.8
ρ = 1000 kg/m³
g = 10 m/s²
Q = 50 m³/s
H = (8 × 106) / (0.8 × 1000 × 10 × 50)
H = (8 × 106) / (400,000)
H = 20 m

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