Consider a river flowing toward a lake at an average speed of4 m/s at a rate of 500 m3/s at a location70 m above the lake surface. Determine the total mechanical energy of the river water per unit mass and the power generation potential of the entire river at that location.

Solution 21P

Step 1</p>

In this problem, a river is flowing to a lake at a particular speed from a particular height. The rate of water flowing is provided. We have to calculate the total mechanical energy of the river and the power generation potential of the entire river.

Provided data,

Speed of the river,

Flow rate of the river,

Height of the river flowing from the lake surface,

We know the density of freshwater,

Step 2</p>

Calculating the kinetic and potential energy per unit mass

KE per unit mass is,

That is,

PE per unit mass is,

That is,