Calculate Binding Energy per Nucleon for 2H, 24Mg, 32S & 238U

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SUMMARY

The discussion focuses on calculating the binding energy per nucleon for the isotopes 2H, 24Mg, 32S, and 238U using the equation E=mc². The user attempts to compute the binding energy for 32S but encounters issues related to unit conversion and the accurate mass of protons and neutrons, which do not equal 1 atomic mass unit (u). The correct approach requires precise mass values from the atomic mass table and proper unit handling to derive the binding energy in MeV.

PREREQUISITES
  • Understanding of nuclear physics concepts, specifically binding energy.
  • Familiarity with the equation E=mc² and its application in nuclear calculations.
  • Knowledge of atomic mass units (u) and their significance in nuclear mass calculations.
  • Ability to use atomic mass tables for accurate mass values of isotopes.
NEXT STEPS
  • Research the precise atomic masses of protons and neutrons for accurate calculations.
  • Learn how to convert mass differences into energy using E=mc².
  • Study the concept of binding energy per nucleon and its significance in nuclear stability.
  • Explore examples of binding energy calculations for various isotopes to reinforce understanding.
USEFUL FOR

Students in nuclear physics, educators teaching nuclear concepts, and anyone interested in understanding the stability of atomic nuclei through binding energy calculations.

Agarb
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Homework Statement



Calculate the binding energy per nucleon for each of the following nuclei. (Use the table of atomic masses as necessary.)

(a) 2H


(b) 24Mg


(c) 32S


(d) 238U


These are all in MeV by the way.

Homework Equations



E=mc^2

The Attempt at a Solution



I found for example c:

32-31.972071= .027929

.027929*(3E8^2)/32

What am I doing wrong?
 
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If you add units (always do this!), you should see an issue.
Another problem: protons and neutrons don't weight 1u.
 

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