Calculating energy released during fusion reactions

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SUMMARY

The discussion focuses on calculating the energy released during fusion reactions, specifically the conversion of carbon-12 (12C) to oxygen-16 (16O) in a Sun-like star. The key equation used is Einstein's mass-energy equivalence formula, e=mc², to determine the energy in joules based on the mass difference between the reactants and products. The participants clarify that the reaction involves a carbon-12 atom combining with an alpha particle, and the energy released is derived from the mass lost during this fusion process.

PREREQUISITES
  • Understanding of Einstein's mass-energy equivalence (e=mc²)
  • Basic knowledge of nuclear fusion processes
  • Familiarity with atomic mass units and nuclear binding energy
  • Concept of alpha particles in nuclear reactions
NEXT STEPS
  • Research the process of nuclear fusion in stars, focusing on carbon and oxygen synthesis
  • Learn about calculating binding energy and its significance in nuclear reactions
  • Explore advanced applications of e=mc² in astrophysics
  • Investigate the role of alpha particles in stellar nucleosynthesis
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in nuclear physics and stellar evolution will benefit from this discussion.

Meganwright
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Homework Statement



A Sun-like star may convert some carbon 12C (nuclear mass 1.998 ×10-26 kg) to oxygen 16O (nuclear mass 2.657 ×10-26 kg) towards the end of its life. Approximately how much energy is released per fusion reaction?

Homework Equations



e=mc2
c+he = o + energy

The Attempt at a Solution


I know you have to work out the mass of the energy lost then use e=mc2 to determine the energy in joules but I can't seem to get a correct answer?
 
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It looks to me like you are interpreting the problem as if the extra 2 protons are being created just from energy. I assume in this problem the reaction is a carbon 12 atom combining with an alpha particle to make oxygen. You just have to calculate the difference in mass of the oxygen from the total of the carbon and alpha particle, and that difference in mass should be the difference in binding energy according to e = mc^2.
 
Oh I see! Thankyou so much! I don't suppose you have time to look at my other 2 posts and help me out do you? I'm struggling with applying jeans mass?
 

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