Question

What is the mass defect of the $^{14} \mathrm{N}$ nucleus?

   What is the mass defect of the $^{14} \mathrm{N}$ nucleus?

Physics

Alan Giambattista,… 2nd Edition

Chapter 29, Problem 15

Instant Answer

Solved by Expert Ren Jie Tuieng

05/22/2020

Step 1

The atomic number of nitrogen is 7, which means it has 7 protons. Given that the total number of nucleons (protons and neutrons) is 14 (as indicated by the superscript), we can infer that the number of neutrons is $14 - 7 = 7$. Show more…

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What is the mass defect of the $^{14} \mathrm{N}$ nucleus?

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Key Concepts

Mass Defect

Mass defect refers to the difference between the total mass of the individual nucleons (protons and neutrons) when separated and the actual mass of the nucleus. This difference occurs because some mass is converted into energy during the formation of the nucleus, which is then stored as binding energy.

Nuclear Binding Energy

Nuclear binding energy is the energy required to split a nucleus into its individual protons and neutrons. It is directly related to the mass defect through the equation E=mc^2, illustrating that the energy released during nuclear formation is equivalent to the lost mass.

Einstein's Mass-Energy Equivalence

Einstein's mass-energy equivalence principle, expressed as E=mc^2, underpins the concept of mass defect by showing how a slight loss in mass during nucleus formation results in a significant release of energy. This principle is fundamental in understanding the conversion between mass and energy in nuclear reactions.

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