Job

Consider a river flowing toward a lake at an average velocity of 3 m/sec at a rate of 50 m³/sec at a location 90 m above the lake surface. Determine the total mechanical energy of the water per unit mass and the power generation potential of the entire river at that location.

Created: 4 months ago | Updated: 4 months ago
Updated: 4 months ago
Ans :

Here, E = Kinetic energy + Potential Energy 

E=12mV2+mgh
pw=1000 kg/m3

Q=50 m3/sec

V= 3m /sec 

h = 90m 

Total mechanical energy per unit mass, 

Em=12×V2+gh=12× 32+9.81×90

= 887.4J / kg(Ans) 

Power generation potential, 

P=Em×Q×ρw=887.4×50×1000

=44.37×106W=44.37MW(Ans)

4 months ago

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