a hydropower dam is rated for 2 gw power generation. the annual energy output is 2628 gwh. what percentage of its capacity is used?
What percentage of its capacity is used for a hydropower dam that is rated for 2 GW power generation and has an annual energy output of 2628 GWh?
Answer:
To calculate the percentage of its capacity used, we first need to convert the power and energy output into the same unit.
1 GWh (Gigawatt-hour) = 1 GW (Gigawatt) * 1 hour = 1 GW * 1 h = 1 GWh
Therefore, the capacity of the dam is 2 GW and the annual energy output is 2628 GWh.
Now, we can calculate the percentage of capacity used using the formula:
\text{Percentage Used} = \left( \frac{\text{Annual Energy Output}}{\text{Capacity}} \right) \times 100\%
Substitute the values into the formula:
\text{Percentage Used} = \left( \frac{2628 \, \text{GWh}}{2 \, \text{GW}} \right) \times 100\%
\text{Percentage Used} = (1314) \times 100\%
\text{Percentage Used} = 65.7\%
Therefore, approximately 65.7% of the hydropower dam’s capacity is used based on the given values.