Calculate Energy during Nuclear Fission

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SUMMARY

The discussion focuses on calculating the energy released during the nuclear fission of Uranium-235 (U-235). The fission reaction involves U-235, a neutron, Barium-141 (Ba), Krypton-92 (Kr), and three additional neutrons. The calculated mass difference is 0.189 atomic mass units (u), leading to an energy release of approximately 2.82 x 10^-11 joules using Einstein's equation E=mc². The calculations are confirmed to be accurate based on the provided masses of the particles involved.

PREREQUISITES
  • Understanding of nuclear fission processes
  • Familiarity with atomic mass units (u)
  • Knowledge of Einstein's mass-energy equivalence (E=mc²)
  • Basic skills in unit conversion and scientific notation
NEXT STEPS
  • Study the principles of nuclear fission in detail
  • Learn about the mass-energy equivalence and its applications
  • Explore the decay chains and products of U-235 fission
  • Investigate safety protocols and implications of nuclear energy
USEFUL FOR

Students in nuclear physics, researchers in energy production, and anyone interested in the calculations and implications of nuclear fission processes.

wilson_chem90
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Homework Statement


Another possible form of the fission of U-235 is:
\begin{array}{cc}235&92\[\tex] U + \begin{array}{cc}1&0\[\tex] n /rightarrow \begin{array}{cc}141&56\[\tex] Ba + \begin{array}{cc}92&36\[\tex] Kr + 3 \begin{array}{cc}1&0\ n<br /> <br /> a) Given the masses of the particles in the table below, calculate the amount of energy released in the fission of a U-235 nucleus. <br /> <br /> U = 234. 993 u<br /> 1 n = 1.008 u<br /> Ba = 140.883 u<br /> Kr = 91.905 u <br /> <br /> <br /> <h2>Homework Equations</h2><br /> <br /> <br /> <br /> <h2>The Attempt at a Solution</h2><br /> Before i start, I am not sure what to do with the last product formed from the U-235 reaction. I'mm not sure if its 3 protons or 2 protons and 1 neutron. anyways i just assumed it was 3 neutrons though. <br /> <br /> Mass or reactants :<br /> 234.993 u + 1.008 u = 236.001 u<br /> Mass of products:<br /> 140.883 u + 91.905 u + 1.008 u(3) = 235.812 u<br /> <br /> Mass difference:<br /> 236.001 u<br /> - 235.812 u<br /> = 0.189 u <br /> Energy released:<br /> <br /> m = (0.189 u)(1.6605 x 10^-27 kg/u)<br /> =3.138345 x 10^-28 kg<br /> <br /> E = mc^2<br /> = (3.138345 x 10^-28 kg)(2.998 x 10^8 m/s)^2<br /> = 2.82 x 10^-11 J<br /> <br /> Im honestly not sure that this is correct.
 
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i couldn't do the laTeX image, but its 235/92 U + 1/0 n = 141/56 Ba + 92/63 Kr + 3 1/0 n
 

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