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The world’s largest hydroelectric power plant is the 22.5 gigawatt ( GW ) Three Gorges Dam in China. It produces about 90TWh of electricity each year. If a hydroelectric plant with the same capacity as the Three Gorges Dam was built in the United States, calculate how many houses such a plant would be able to provide the electricity for in a year. Show your work.

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Answer:

An equivalent hydroelectric plant can provide up to 8.2 million homes in the United States.

Explanation:

According to the U.S. Energy Information Administration, a typical U.S. home has an average yearly consumption of [tex]10972\,kWh[/tex] in 2018. The quantity of house that can be provided is:

[tex]n = \frac{(90\,TWh)\cdot \left(10^{9}\,\frac{kWh}{TWh}\right)}{10972\,kWh}[/tex]

[tex]n = 8202697.776\,houses[/tex]

An equivalent hydroelectric plant can provide up to 8.2 million homes in the United States.

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