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(e) 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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xero099

Answer:

[tex]n = 8202698\,houses[/tex]

Explanation:

According to the U.S. Energy Information Administration, each house in the United States had a yearly consumption of 10972 kWh in 2018.

The quantity of houses that will be provided by the hydroelectric power plant is:

[tex]n = \frac{90\times 10^{9}\,kWh}{10972\,kWh}[/tex]

[tex]n = 8202698\,houses[/tex]

The number of houses such a plant would be able to provide the electricity for in a year is;

8399440 houses.

We are given;

Capacity of three gorges dam in china per year;

C = 90 TWh = 90 × 10^(9) kWh

Now, from research online on us energy in 2020, the average house in the US consumes around 10715 kWh annually.

Thus, number of houses the plant would be able to provide for in a year is;

n = (90 × 10^(9))/10715

n = 8399440 houses.

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