A Norwegian hydroelectric power plant is built on a small river. The water falls 400m from the mountains to the turbines. The �flow is 80 m3/s. Calculate:
a) the produced electric power;
b) the value of production of one day (unit price = 10 cnt/kWh).
The efficiency of turbines is 93%.
To calculate the produced electric power of a hydroelectric power plant, you can use the following formula:
Power = Flow Rate × Height × Gravitational Constant × Efficiency
a) Calculating the produced electric power:
In this case, the flow rate is given as 80 m3/s, the height as 400 m, and the efficiency of turbines as 93%.
Using these values, we can calculate the power:
Power = 80 m3/s × 400 m × 9.8 m/s² × 0.93
Power = 298,080 W (or 298.08 kW)
Therefore, the produced electric power of the hydroelectric power plant is 298.08 kW.
b) Calculating the value of production for one day:
To calculate the value of production for one day, we need to know the time period in which the power plant operates. Let's assume it operates for 24 hours.
First, we need to convert the power from kilowatts (kW) to kilowatt-hours (kWh):
1 kW = 1 kWh
So, the power produced in one day is 298.08 kWh.
Now, using the unit price of 10 cnt/kWh, we can calculate the value of production for one day:
Value of production = Power produced × Unit price
Value of production = 298.08 kWh × 10 cnt/kWh
Value of production = 2,980.8 cnt
Therefore, the value of production for one day is 2,980.8 cent or 29.808 euros (cents are divided into 100 to get euros).