I wanted to do some back of the hand math on how many nuclear reactors it would take to reduce CO2 in the atmosphere to pre industrial levels after reading the article below describing the process.
Regarding this synthesis reaction: https://www.nature.com/articles/s41467-020-20214-z
From the abstract it seems to convert one mole of atmospheric CO2 into a fuel for use either in transportation or as a form of carbon capture (bury it again), it would take
(-166kJ + -125kJ + 41kJ) in energy for one mole of CO2 coming to a total of
250kJ of energy required per mole turned into the various fractious products...
Next let's say we want to return the amount of CO2 to pre industrial levels IGNORING output currently, that we were in effect carbon neutral (just for the sake of argument because the numbers are getting outrageous) by 2100. That gives us 78 years to do so.
So. currently, I am reading some random internet sources saying that there is about (1.8 * 10^20) moles of CO2 in the atmosphere currently and that we are at about 400ppm compared to preindustrial levels of 280ppm. So we need a reduction of
(120ppm/400ppm) == .3 or 30% reduction in atmospheric carbon from todays levels for a total reduction of (.3 * 1.8 * 10^20) moles of CO2.
Now using nuclear power as it is the most energy rich, but I think it would yield similar cost analysis for other types of power, am I correct in stating that to reduce this in 78 years we would necessarily need at least
(.3 * 1.8 * 10^20) moles CO2 * (240kJ per moles CO2) energy to yield that? That would mean we would need to produce
1.29600 × 10^25 joules in 79 years, or in watts
1.29600 × 10^25J / (79*365*24*60*60s) which equals
5.20201144 × 10^15 watts.
I read somewhere the average nuclear power plant yields about 1 gigawatt. If that is true, to reduce atmospheric carbon to preindustrial levels by 2100, we would need
((1.29600 * ((10^25) J)) / (79 * 365 * 24 * 60 * (60 s))) / (1 gigawatt) which yields
5 202 011.44.
Is my off the cuff math correct? In order to return the earth to way it was, minus of course all the nuclear plants, mean that we would need to build roughly 5 million nuclear power stations?