Calculate Energy Released in Radium-226 Decay

In summary, Radium-226 decay is a type of radioactive decay where the nucleus of a Radium-226 atom spontaneously breaks down, emitting alpha particles. The energy released in this process is approximately 4.8 MeV and can be calculated using the formula E = mc², with a mass difference of 0.0067 amu. This calculation is significant in understanding radiation behavior and for applications in fields such as medicine and energy production.
  • #1
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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  • #2
no, how many MeV is one u?
 

Related to Calculate Energy Released in Radium-226 Decay

What is Radium-226 Decay?

Radium-226 decay is a type of radioactive decay in which the nucleus of a Radium-226 atom spontaneously breaks down, emitting radiation in the form of alpha particles.

What is the energy released in Radium-226 Decay?

The energy released in Radium-226 decay is approximately 4.8 MeV (mega electron volts).

How is the energy released in Radium-226 Decay calculated?

The energy released in Radium-226 decay can be calculated using the formula E = mc², where E is the energy released, m is the mass difference between the original Radium-226 atom and the resulting atom, and c is the speed of light.

What is the mass difference in Radium-226 Decay?

The mass difference in Radium-226 decay is approximately 0.0067 atomic mass units (amu), which is equivalent to 0.0045 grams.

What is the significance of calculating energy released in Radium-226 Decay?

Calculating the energy released in Radium-226 decay is important for understanding the behavior and effects of radiation. It is also useful in various scientific and medical applications, such as in radiation therapy and nuclear energy production.

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