Why does Atomic Mass Differ from # of Protons & Neutrons?

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SUMMARY

The atomic mass of elements, such as mercury with an atomic mass of 200 g/mol, does not directly correspond to the number of protons and neutrons due to the presence of stable isotopes. Mercury has 80 protons and a variable number of neutrons, ranging from 116 to 124, which contributes to its atomic weight being a weighted average of these isotopes. The stability of atomic nuclei is influenced by the ratio of neutrons to protons, where light nuclei are most stable when the number of neutrons equals the number of protons, but this ratio must increase for heavier elements to counteract electrical repulsion. There is no simple equation to determine the exact number of neutrons needed for stability based solely on atomic number.

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Myslius
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Why atomic mass doesn't match the number of protons and neutrons in it?
for example mercury mass is 200 gmol but it has only 80 protons and 80 neutrons. From where does 40 gmol come from?
 
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The stable isotopes of Mercury have between 116 and 124 neutrons, not 80. The atomic weight is the weighted average mass of all of the stable isotopes.
 
that makes sense, thanks, i just though that the number of protons and neutrons in nucleus are quite the same
 
Is there any equation to determine how many neutrons there should be to keep an atom stable? I don't mean mass - number of protons. I mean the equation that can determine an interval of neutrons based on atomic number only and the forces.
 
There is a semi-empirical relation that says that light nuclei are most stable when n=p, but that as p increases, the ratio of n/p needs to increase so that the strong force can compensate for the increased electrical repulsion. But I don't think there is a simple equation. Here's a graph showing where the stable nuclei lie:

http://en.wikipedia.org/wiki/Isotope#Nuclear_properties_and_stability
 
Myslius said:
Is there any equation to determine how many neutrons there should be to keep an atom stable? I don't mean mass - number of protons. I mean the equation that can determine an interval of neutrons based on atomic number only and the forces.

Try posting that question in the Nuclear physics forum, you might get some interesting answers.
 

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