Chapter 20, Problem 20.17QP

Interpretation Introduction

Interpretation: The total nuclear binding energy is given and the mass of single ${\text{Cr}}^{48}$ atom should be calculated

Concept introduction:

• Energy required to break the nucleus into its corresponding proton and neutron is called nuclear binding energy
• This quantity represents the conversion of mass to energy occurs during an exothermic reaction.
• Nuclear binding energy can be calculated by Einstein’s mass energy equivalence relationship that is, $\Delta E=\left(\Delta m\right)c^2$

  Where, $\left(\Delta m\right)$ is called mass defect.

• The difference between mass of an atom and the sum of the masses of its proton, electron, and neutron is called Mass defect
• Formula:

                         The mass defect: = $\Delta E=\left(\Delta m\right)c^2$

            Given: nuclear binding energy of ${\text{Cr}}^{48}$=