Question:

Percentage mass defect

Updated On: May 13, 2024
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Solution and Explanation

The concept of mass defect is fundamental in nuclear physics and pertains to the difference between the mass of a nucleus and the sum of the masses of its individual nucleons (protons and neutrons). This mass difference is converted into energy, which is the binding energy of the nucleus — essentially the energy required to disassemble a nucleus into its constituent protons and neutrons. The mass defect (Δm) can be calculated using the equation:
\([ Delta m = \text{(sum of masses of individual nucleons)} - \text{(actual mass of the nucleus)} ] \)
Once you have the mass defect, you can convert it into energy (E) using Einstein's mass-energy equivalence relation: 
\([ E = \Delta m \times c^2 ] \)
where \(( c )\) is the speed of light. 
To find the percentage mass defect, use: 
\([ \text{Percentage Mass Defect} = \left( \frac{\text{Mass Defect}}{\text{Total Mass of Individual Nucleons}} \right) \times 100\% ]\)
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