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So What?

What does this have to do with the prodigious energy requirements of the Sun? If one adds up the mass on the left hand side of the equation tex2html_wrap_inline91 , one finds that there is about 0.7 % mass than the right hand side of the equation. We have:
Mass of 4 hydrogen atoms: tex2html_wrap_inline95 kilograms (atoms are little things)
Mass of 1 helium atom: tex2html_wrap_inline97 kilograms
difference: tex2html_wrap_inline99 kilograms.
It is small but measurable, and definitely there.

So what? Einstein's famous relation between mass and energy says mass can be changed into energy and vice-versa. The relation relating the two is

equation46

where c is the speed of light.

Nuclear fusion reactions can be incredible sources of energy. Example: take 1 kilogram of hydrogen. If we burned it, we'd get about tex2html_wrap_inline103 Joules of energy. How much from fusion reactions? If 1 kilogram of hydrogen tex2html_wrap_inline61 proton- proton cycle, you get 993 grams = 0.993 kilograms of helium. 0.007 kilograms has been converted into energy. Therefore tex2html_wrap_inline107 Joules!

Summary in words. Link to the Manhattan Project.


Steve Spangler
Tue Aug 31 16:29:42 CDT 1999