How Does Nuclear Fission Release Energy Despite Mass Loss?

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SUMMARY

Nuclear fission releases energy due to the mass defect, where the mass of an atom is less than the sum of its constituent parts. According to Einstein's equation E = mc^2, the energy released corresponds to this mass difference. In nuclear reactions, such as the fission of uranium, the resulting products have more tightly bound nuclei, which leads to energy release. Conversely, fusing elements lighter than iron releases energy, while fissioning heavier elements like iron requires energy input.

PREREQUISITES
  • Understanding of Einstein's equation E = mc^2
  • Basic knowledge of nuclear reactions and binding energy
  • Familiarity with concepts of mass defect and nuclear stability
  • Awareness of fusion and fission processes in nuclear physics
NEXT STEPS
  • Research the concept of mass defect in nuclear physics
  • Explore the binding energy of different elements, particularly iron
  • Study the mechanisms of nuclear fusion and fission in detail
  • Learn about the applications of nuclear reactions in energy production
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Students of physics, nuclear engineers, and anyone interested in understanding the principles of nuclear energy and reactions.

ShawnD
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The mass of an atom is less than the sum of its parts. The difference in mass is called the mass defect, and E = mc^2 shows how much energy that difference in mass has.
Since mass and energy interchange in nuclear reactions, mass and energy would go on different sides of the equation.
Here is what nuclear fusion looks like

^3_1H + ^2_1H + (mass) \rightarrow ^4_2He + ^1_0n + (energy)

The left side is heavier and the right side has more energy. If the components are heavier, how does nuclear fission give off energy? Breaking uranium into components should absorb energy shouldn't it?
 
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The most tightly bound nucleus is iron. You can't fission iron without adding energy, and you can't fuse iron without adding energy.

On the left (lower mass) side of iron, the nuclei are less tightly bound, and can be fused to release energy, resulting in a more tightly bound nucleus.

On the right (higher mass) side of iron, the nuclei are less tightly bound, and can be fissioned to release energy, resulting in two atoms with more tighty bound nuclei.

http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/nucbin.html#c2

- Warren
 
Awesome, thanks.
 

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