   Chapter 25.3, Problem 25.4CYU

Chapter
Section
Textbook Problem

Calculate the binding energy per nucleon, in kilojoules per mole, for lithium-6. The molar mass of 3 6 Li is 6.015125 g/mol.

Interpretation Introduction

Interpretation:

The binding energy per nucleon, in kilojoule per mole for lithium isotope has to be calculated.

Binding energy:

The energy that holds a nucleus together is defined as binding energy. This is equal to the mass defect of the nucleus.

Explanation

Given info:

The molar mass of L36i is 6.105125g/mol.

In this case, a lithium-6 nucleus will contain three protons, since lithium atomic number is equal to 3. Three neutrons, since its mass number is equal to 6. The mass of a proton and the mass of a neutron are,

mproton=1.007825g/mol

mneutron=1.008665g/mol

Calculation:

The combined mass of the nucleus will thus be

Mcal=(3×mproton)+(3×mneutron)

mcal=(3×1.007825g/mol)+(3×1.008665g/mol)=3.023475g/mol+3.025995g/mol=6.04947g/mol

Δm=mcalculatedmgiven=(6.04947g/mol)(6

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