How Does Binding Energy Affect Nuclear Fission Reactions?

AI Thread Summary
The discussion centers on the fission reaction of 236U92 and the implications of binding energy on nuclear stability. Participants evaluate the correctness of several statements regarding the unknown fission fragment's atomic number (Z) and mass number (A), concluding that both are false due to miscalculations in the initial assumptions. The conversation also touches on the relationship between binding energy and nuclear stability, with clarification that a heavy nucleus can achieve greater stability by moving left on the binding energy curve. Additionally, it is confirmed that the fission products have a lower total mass than the original nucleus, indicating energy release during the reaction. Overall, the participants work through the complexities of nuclear fission and binding energy concepts.
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Homework Statement


Consider the fission reaction in which 236U92 breaks up into 141Ba56 and 3 neutrons and an unknown fragment. Which of the following statements are true about this fission reaction in particular and nuclear reaction energies in general? You are given a plot of the binding energy (BE) per nucleon to help you.
http://aycu17.webshots.com/image/25736/2004649007142429776_rs.jpg

True False the unknown fission fragment will have Z = 33
True False the unknown fission fragment will have A = 95
True False a heavy nucleus (like uranium) can become more stable via a reaction that moves it back to the left on the BE curve
True False a heavy nucleus (like uranium) releases less energy in a single fission reaction than in one alpha decay
True False the fission products (two fragments plus 3 neutrons) have less total mass than the original 236U

The Attempt at a Solution



1. Z= Atomic Mass so true; must be equal before and after the equation
2. A= Atomic # so true; must be equal before and after the equation
3. Not sure, i thikn its false because of the graph, not sure about this one
4. Also not sure about this, but believe false, because it has alpha decay.
5. The total mass must be equal before and after the reaction

My answers are in bold, and above are my reasons, i can't figure out what I am doing wrong. Can anyone help?

Thanks
 
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bump, any1 know?
 
I think you have one and two right. I think 3 is True because higher binding energy -> more stability...

Not sure about 4.

But 5 is true... right side has lower mass because energy has been released...
 
Turns out 1 and 2 are false?? Any1 have any clue why? that makes no sense
 
Oops... sorry A = 92... 236-141-3... and Z = 36 (92-56)

A is the total number of protons+neutrons.
Z is the total number of protons.

I was mixing up number of protons and neutrons...

So yes, they're false.
 
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