# Fission reactions

#1
if we have a fissionable isotope, and split it into 2 equal fragements, then i have read that energy released is equal to the increase in binding energy. How is this so? What about the increase in K.E of the particles and the work done against the strong nuclear force when the nucleus splits?
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#2
(Original post by MEPS1996)
if we have a fissionable isotope, and split it into 2 equal fragements, then i have read that energy released is equal to the increase in binding energy. How is this so? What about the increase in K.E of the particles and the work done against the strong nuclear force when the nucleus splits?
been thinking about this-is it true that in a fission reaction the total energy released is equal to the change in mass * c^2 = increase in binding energy + work done against strong nuclear force + increase in KE
0
8 years ago
#3
The point is that the sum of the binding energies of the two nuclei formed is greater than the binding energy of the parent nucleus. In other words, you gain more energy when you form the two daughter nuclei than you had to use when you split the parent.
Yes, this increase in binding energy also manifests as a change in mass.
0
8 years ago
#4
(Original post by MEPS1996)
if we have a fissionable isotope, and split it into 2 equal fragements, then i have read that energy released is equal to the increase in binding energy. How is this so? What about the increase in K.E of the particles and the work done against the strong nuclear force when the nucleus splits?
E = mc2 showed that energy and mass are equivalent and interchangable.

The total mass of a given nucleus is less than the total mass of the individual nucleons in that nucleus. This difference is the 'mass defect' and results from the binding energy needed to hold the nucleus together converting to mass as the nucleus decays.

i.e. If the atom is split in a fission reaction, the binding energy that held the nucleus together is converted to mass. The total mass of the ejected nuclei are greater than the mass of the original nucleus and hence the kinetic energy of the resulting particles has increased.
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