Chapter 25.3, Problem 25.4CYU

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
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=1.007825â€‰â€‰g/mol

mneutron=1.008665â€‰g/mol

Calculation:

The combined mass of the nucleus will thus be

Mcal=â€‰(3Ã—mproton)+â€‰(3Ã—mneutron)

mcal=(3Ã—1.007825â€‰â€‰g/mol)+(3Ã—1.008665â€‰g/mol)â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰3.023475â€‰g/molâ€‰â€‰+â€‰â€‰3.025995â€‰g/molâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰â€‰6.04947â€‰g/mol

Î”m=mcalculatedâ€‰âˆ’â€‰mgivenâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰â€‰(6.04947g/mol)â€‰â€‰âˆ’â€‰(6

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