Which atoms have lower binding energies than iron?

AI Thread Summary
Atoms with atomic mass greater than iron (atomic mass number 56) have lower binding energies, indicating lower stability and a tendency for radioactive emission. The binding energy per nucleon increases up to iron and then decreases for heavier elements. The mass defect can be calculated using the equation E=Delta{m}c², but specific masses for the elements in question are necessary for precise calculations. In multiple-choice questions, referencing a graph of binding energy per nucleon can provide quick insights without detailed calculations. Iron is noted for its high binding energy and stability, making radioactive forms of iron extremely rare in nature.
zabachi
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Homework Statement



The problem is attached

Homework Equations



E=Delta{m}c2

The Attempt at a Solution



Since I don't know the mass of any of the things they gave in the question, how do I calculate the mass defect and from there the binding energy per nucleon?
 

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They did give mass of electron and proton in equation table though.
 
zabachi said:

Homework Statement



The problem is attached

Homework Equations



E=Delta{m}c2

The Attempt at a Solution



Since I don't know the mass of any of the things they gave in the question, how do I calculate the mass defect and from there the binding energy per nucleon?

There is a graph of binding energy per nucleon in many textbooks. Since this is mcq, i don't think u have time to calculate individual binding energies. Light nuclei have low binding energies and this increases up to IRON (see graph) Beyond Iron, binding energy per nucleon decreases (proof of lower stability and for radioctivity emission). ∴ Atoms having atomic mass greater than iron(Ar = 56) have lower binding energies.
Answer is A.
NOTE: Iron has the highest binding energy and has a highly stable nucleus (very very rare to find radioactive iron in nature)
 

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