In Arizona, where there are 300 sunny days per year, it requires 335 acres of land to generate 300 MW of average annual power. If there are only 156 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 300 sunny days per year, it requires 335 acres of land to generate 300 MW of average annual power. If there are only 156 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 first need to understand the relationship between the number of sunny days, the amount of land needed, and the power generated.
In Arizona, 300 sunny days and 335 acres of land generate 300 MW of power. This means that each sunny day requires approximately 1.12 acres of land to generate 1 MW of power (335 acres / 300 MW / 300 days = 1.12 acres/MW/day).
In Pennsylvania, there are only 156 sunny days per year. So, to generate the same 300 MW of power, it would require more land because there are fewer sunny days.
Using the same ratio of acres/MW/day, we can calculate the amount of land needed in Pennsylvania as follows:
Land needed = Power needed * Number of sunny days * Acres/MW/day Land needed = 300 MW * 156 days * 1.12 acres/MW/day = 52,416 acres
So, it would require approximately 52,416 acres of land to generate the same average annual power in Pennsylvania as in Arizona, given the fewer number of sunny days. Rounding to the nearest acre, it would require 52,416 acres.
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