9th Edition
Steven S. Zumdahl
ISBN: 9781133611097




9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

The binding energy per nucleon for magnesium-27 is 1.326 × 10−12 J/nucleon. Calculate the atomic mass of 27Mg.

Interpretation Introduction

Interpretation: The binding energy per nucleon of 27Mg is given. The atomic mass of 27Mg is to be calculated.

Concept introduction: The sum of masses of the component nucleons and the actual mass of a nucleus is known as the mass defect and it can be used to calculate the nuclear binding energy.

To determine: The atomic mass of 27Mg .



The value of ΔE is given to be 1.326×1012J/nucleon .

The binding energy per nucleon is calculated by Einstein’s mass energy equation, that is,



  • ΔE is the change in energy.
  • Δm is the change in mass.
  • C is the velocity of light.

Substitute the values of ΔE and C in the equation.


Conversion of Kg/nucleon to amu/nucleon is done as,


Therefore, the conversion of 1.4733×1029Kg/nucleon into amu/nucleon is,


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