Calculate Energy Released in Radium-226 Decay

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SUMMARY

The discussion focuses on calculating the energy released during the decay of Radium-226, which has a half-life of 1.60E3 years. The decay process is represented as Ra -> Rn + He + Energy, with specific atomic masses provided: Ra = 226.025403u, Rn = 222.017570u, and He = 4.002603u. The energy released per decay is derived using the equation E = mc², resulting in approximately 9.79E+18 MeV after conversion from joules. The participants clarify the conversion factor for atomic mass units (u) to MeV.

PREREQUISITES
  • Understanding of nuclear decay processes
  • Familiarity with the concept of half-life
  • Knowledge of Einstein's mass-energy equivalence (E=mc²)
  • Basic skills in unit conversion, particularly from joules to MeV
NEXT STEPS
  • Research the conversion factor from atomic mass units (u) to MeV
  • Explore detailed examples of energy calculations in nuclear decay
  • Study the implications of half-life in radioactive materials
  • Learn about other decay processes and their energy outputs
USEFUL FOR

This discussion is beneficial for students in nuclear physics, educators teaching radioactive decay, and anyone interested in the energy calculations associated with nuclear reactions.

hayowazzup
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Homework Statement


Radium-226 decays with a half-life of 1.60E3 years via the process:
Ra -> Rn + He + Energy

(Masses : Ra = 226.025403u, Rn = 222.017570u, He - 4.002603u)

How much energy, in MeV, is released in each decay?

Homework Equations


E= mc^2


The Attempt at a Solution


E of Ra - E of Rn - E of He = Energy released
Energy = mc^2 - mc^2 -mc^2
E = (226.025403)(3E+8)-(222.017570)(3E+8)-(4.002603)(3E+8)= 1568700J = 9.79E+24 = 9.79E+18 MeV ?
 
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no, how many MeV is one u?
 

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