HARDMCQ SINGLEIChO (Chemistry Olympiad)Physical ChemistryAtomic StructureIntro
Let mₚ be the mass of a proton, mₙ that of a neutron, M₁ that of a ²⁰₁₀Ne nucleus and M₂ that of a ⁴⁰₂₀Ca nucleus. Then
0.M₂ < 2M₁
1.M₁ < 10mₚ + 10mₙ
2.M₂ > 2M₁
3.M₁ < M₂
Explanation
Due to mass defect (binding energy), actual nuclear mass < sum of constituent masses. M₁ < 10mₚ+10mₙ and M₂ < 20mₚ+20mₙ. Also M₂ < 2M₁ because ⁴⁰Ca has higher binding energy per nucleon than two ²⁰Ne.
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