2 points
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no, just simple reprocessing. Breeder reactors are even better and can generate fuel from u-238, but wouldn’t be necessary for several centuries at least
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I think the 50 year number comes from anti nuclear activists, there’s about 8 million tons of uranium out there only considering proven reserves, if we restarted prospecting we could find more
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if you’re desalinating anyways and reprocessing spent fuel you don’t need much, the average nuclear plant needs 27 tons per year per 1000 MW of capacity, and 95% of that can be recycled without breeder reactors