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If a microhydro dam generates 2.5 GW of power, how much energy will it produce annually?

a. 2.5 kilowatt-hours
b. 2.5 gigajoules
c. 2.5 terawatt-hours
d. 2.5 megawatt-hours

1 Answer

3 votes

Final answer:

A microhydro dam that generates 2.5 GW of power will produce approximately 21.9 terawatt-hours of energy annually, which is closest to the provided option (c) 2.5 terawatt-hours.

Step-by-step explanation:

If a microhydro dam generates 2.5 GW of power, we can calculate the energy produced annually by multiplying the power (in watts) by the number of hours in a year. There are 8,760 hours in one year (24 hours/day × 365 days/year), so the dam will generate:

2.5 GW × 8,760 hours = 2.5 × 10⁹ W × 8,760 hours = 21.9 × 10¹⁲ Wh/year

Since 1 terawatt-hour (TWh) is equal to 10¹⁲ watt-hours, we can express this as:

21.9 × 10¹⁲ Wh/year = 21.9 TWh/year

Therefore, the correct answer to the amount of energy a microhydro dam that generates 2.5 GW of power will produce annually is approximately 21.9 TWh, which is closest to the choice (c) 2.5 terawatt-hours.

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