In Arizona, where there are 334 sunny days per year, it requires 319 acres of land to generate 300 MW of average annual power. If there are only 170 sunny days per year in Pennsylvania, how many acres of land would it require to generate the same average annual power? Please round to the nearest acre. Note: assume that a cloudy day delivers 0 watts/acre of solar power. This is not true, but it simplifies the problem for us
Question
In Arizona, where there are 334 sunny days per year, it requires 319 acres of land to generate 300 MW of average annual power. If there are only 170 sunny days per year in Pennsylvania, how many acres of land would it require to generate the same average annual power? Please round to the nearest acre. Note: assume that a cloudy day delivers 0 watts/acre of solar power. This is not true, but it simplifies the problem for us
Solution
To solve this problem, we need to consider the ratio of sunny days in Arizona to sunny days in Pennsylvania and how that affects the amount of land needed to generate the same amount of power.
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First, we find the ratio of sunny days in Pennsylvania to sunny days in Arizona. This is 170/334 = 0.5089820359281437.
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Since the number of sunny days in Pennsylvania is less, we would need more land to generate the same amount of power. To find out how much more, we divide the number of acres needed in Arizona by the ratio of sunny days. This is 319 / 0.5089820359281437 = 626.7164179104478 acres.
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Since the problem asks us to round to the nearest acre, the answer is 627 acres.
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