Nuclear Fission - Calculations of Energy

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SUMMARY

The discussion focuses on calculating the energy released during the nuclear fission of Uranium-235 when it absorbs a neutron. The equation presented is {}_{92}^{235}U + {}_{0}^{1}n → {}_{38}^{90}Sr + {}_{54}^{163}Xe + 10{}_{0}^{1}n + Q. The correct approach to determine the energy release (Q) involves calculating the difference between the initial and final mass-energy states, confirming that Q must be positive to indicate energy release. The participant clarifies that the placement of Q in the reaction formula is crucial for determining whether energy is absorbed or released.

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  • Understanding of nuclear fission processes
  • Familiarity with mass-energy equivalence (E=mc²)
  • Basic knowledge of atomic mass units (u)
  • Ability to perform mass calculations in nuclear reactions
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  • Learn about the conservation of energy in nuclear physics
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Students studying nuclear physics, educators teaching nuclear reactions, and researchers interested in energy calculations related to fission processes.

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Homework Statement



Example nuclear fission:

{}_{92}^{235}U+{}_{0}^{1}n \rightarrow {}_{38}^{90}Sr+{}_{54}^{163}Xe+10{}_{0}^{1}n+Q

How much energy does such fission release?

Homework Equations



I'm given the values of M({}^{235}U), m_{n}, M({}^{90}Sr), M({}^{136}Xe) but I've not listed them here.

The Attempt at a Solution



I thought that Q(energy) = energy in final state - energy in initial state. I.e. that:

Q={}_{38}^{90}Sr+{}_{54}^{163}Xe+9{}_{0}^{1}n -{}_{92}^{235}U

But this gives me a negative answer, of around -0.15u. I thought that it should be positive, unless this is just from how I've set out the equation and can just say it's positive. Done a few things similar to this, but still rather confused with getting the hang of it.
 
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To get it straight just remember that you are conserving energy, so E_i = E_f. Using this you get:

U+n = Sr+Xe+10n+Q

Q = (U+n)-(Sr+Xe+10n)

So, Q = (initial masses) - (final masses). Now it will be positive, meaning energy was released during this reaction. It all depends on where you put the Q in the reaction formula. It would be the other way around if Q was on the initial side (meaning it takes energy to perform the reaction).
 

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