Southwestern Community College Binding Energy per Nucleon Report – Assignment Help

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1. To examine this question, calculate the binding energy per nucleon (in J/nucleon) for
24Mg, 27Al, and 28Si. (These are the most plentiful isotopes of these elements.)

2. What is the trend in stabilities of these nuclei as we move from Mg to Al to Si? Note
that a more positive binding energy (calculated in the previous problem) corresponds to a
more negative potential energy for the nucleons in the nucleus. Do the relative stabilities
of these isotopes explain the relatively low abundance of Al relative to Mg and Si?

3. For Mg, Al, and Si, is the relative abundance of these elements best explained as a
thermodynamic or kinetic effect? Explain. If it’s a kinetic effect, what is the origin of the
effect?
________________________________________________________________________

Relevant Data for Question l:

Mass of 24Mg: 23.985042 amu

Mass of 27Al: 26.981539 amu

Mass of 28
Si: 27.976927 amu

The mass of the proton is 1.007276467 atomic mass units (amu or u or mu).

The mass of the neutron is 1.00866492 amu.
1 amu = 1.660538921 x 10–27 kg

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