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Is your proposal basically to burn away nuclear waste? Why is the gasoline important?
Few issues I see:
I don't think such waste can be disposed safety by incineration. Because if it could, we've have done so already. It's probably the go to solution when it comes to waste disposal, apart from just burying it or dumping it in the ocean.
The main problem is the safety and handling of such radioactive waste. You do not want it anywhere near people and that's why it's isolated. They are highly dangerous. Do you want such a substance sitting in your vehicle, garage, gas station with high traffic, etc? The radioactive substance doesn't just go away when you add gasoline to it.
Even assuming we can get past the safety issues, the said mixture will likely not work in vehicles at all, or would destroy your engine.
How would this reduce carbon emissions? You are still burning gasoline except it's radioactive gasoline.
No. It's to disperse it.
It was very much not meant as a serious proposal.
Okay good. The joke was lost on me, I thought this was a serious post. Didn't expect it in AskScience.
Well it's serious in that I would like to know how radioactive 2 million kilograms of nuclear waste mixed into 500 billion liters of gasoline would be.
I guess it's 4 milligrams per liter. So a grain of sand per liter. My car is in the garage with a 40 liter gas tank. So 40 gains of sand worth of nuclear waste. How dangerous is that? Is it like evacuate the neighborhood, or is it don't plan any long road trips.
I'm not sure why you think dispersing nuclear waste into our environment instead of isolating it is a good idea.
If it's just a thought experiment from a mathematical / chemical perspective, maybe someone else would like to take on the question and do the math.
From a sociological and logistical perspective, it's just not gonna happen. Pretty sure people's tolerance for radioactive materials anywhere near them is zero. There isn't any amount of radioactivity / danger that is considered socially acceptable.