Question

g A power generation system with a turbine and a generator is located at a dam, where the water falls from 124.896 m height to the turbine. Assuming turbines having 100% efficiency, what should be the flow rate of water (in kg/s) to produce 5.776 MW of power

Answer 1

`\dot m = 4830.240 kg/s`

Step-by-step explanation:

Given data:

height of water fall = 124.896 m

efficiency = 100%

Power = 5.776 MW

flow rate of water can be calculated as

`\dot W = \eta \dot m gh`

where

`\dot m`is flow rate of water

plugging all value in above relation

`5.776 * 10^6 = 1.00 * \eta * 9.81 * 121.896`

solving for flow rate we get

`\dot m = 4830.240 kg/s`