Do you like math?
Do you like making climate activists cry?
If so, this post is for you.
Kooky
Klimate
Kultists ululate endlessly about how "green" utility-scale solar photovoltaic (PV) and wind are supposed to be.
They define being “eco-friendly” as an energy technology that "emits less CO₂ over their total lifecycle".
"Emissions" are what the “greens” like to jack their sausage holsters about.
When it's pointed out to these dullards just how land-intensive their “green” energy technologies are, they squirm, trying to justify being vehemently opposed to nuclear fission — a near-infinite, carbon-free, energy-dense electricity source — and working to destroying the landscape with massive amounts of solar cells and wind farms — to "save the planet".
Let's run the numbers!
The standard nuclear reactor has a 1,000-megawatt (MW) rating.
This means that each plant is, on average, installed with 1,000 MW of power capacity. A 1,000-MW nuclear facility occupies, on average, just over 1 square mile (640 acres) of land.
To figure out just how many homes a single 1,000 MW plant could power, we can start by using the following equation: 𝑬 = 𝑷 × 𝒕, where,• 𝑬 = energy (megawatt hours, MWh)• 𝑷 = power (MW)• 𝒕 = time (hours, hr).
If we assume a 1,000 MW nuclear reactor operates at FULL power during an entire calendar year, it will produce ~8.76 terawatt-hours (TWh) of electricity per year.𝑬 = 1,000 MW × 24 hr (1-day) × 365 [days] (1 yr) = 8.76 million MWh / yr (8.76 TWh / yr).
However, reactors don't operate at full power 100% of the time because they come offline for refueling or to undergo maintenance. Therefore, we must take the capacity factor into consideration in our calculation.
According to the U.S. Energy Information Administration (EIA), nuclear power has the highest capacity factor of any electricity generation source in the U.S. at 0.93 in 2023.
https://eia.gov/electricity/annual/html/epa_04_08_b.html…
What this value means is that nuclear reactors in the U.S. operated at full installed power for about 93% of the calendar year in 2023.
So, to figure out how much electricity that each plant produces in a year, we must multiply the previously calculated value of 8.76 TWh by the capacity factor of 0.93. If we do that, we get,𝑬 = (8.76 TWh / year) × 0.93 ≈ 8.15 TWh / yr.
Now, to determine just how many homes this powers, we must divide 𝑬 by the average amount of electricity U.S. homeowners purchase in a year. According to the EIA, that number is ~10,500 kilowatt-hours (KWh) or 1.05 × 10⁻⁵ TWh.
https://eia.gov/energyexplained/use-of-energy/electricity-use-in-homes.php…
Thus, dividing 8.15 TWh / yr by 1.05 × 10⁻⁵ TWh / yr gives us about 776,190 homes.
Therefore, a 1,000 MW nuclear electricity generation station occupying one square mile of land, operating with a capacity factor of 0.93, can power more than 775,000 homes throughout the course of a year based on U.S. data.
Now that is pretty energy-dense, eh?
Why would any climate activist be opposed to that?