Suggested languages for you:

Americas

Europe

Q20P

Expert-verified
Found in: Page 1303

### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

# What is the binding energy per nucleon of ${}^{{\mathbf{262}}}{\mathbf{Bh}}$? The mass of the atom is 262.1231u.

The binding energy per nucleon of is $7.31\mathrm{MeV}\mathrm{per}\mathrm{nucleon}$.

See the step by step solution

## Step 1: The given data

1. The given atom is ${}^{262}\mathrm{Bh}$ with atomic number Z = 107 and mass number A = 262.
2. The mass of the atom, ${m}_{Bh}=262.1231u$
3. The atomic mass of the hydrogen, ${m}_{H}=1.007825u$
4. The atomic mass unit of neutron, ${m}_{n}=1.008665u$

## Step 2: Solve for the binding energy per nucleon of the atom:

The binding energy per nucleon of an atom is as follows:

${\mathbf{∆}}{{\mathbit{E}}}_{\mathbf{b}\mathbf{e}\mathbf{/}\mathbf{n}\mathbf{u}\mathbf{c}\mathbf{l}\mathbf{e}\mathbf{o}\mathbf{n}}{\mathbf{=}}\frac{\left[Z{m}_{H}+\left(A-Z\right){m}_{n}-{m}_{atom}\right]{\mathbf{c}}^{\mathbf{2}}}{\mathbf{A}}$ …… (i)

## Step 3: Calculate the value of binding energy per nucleon

Using the given data in equation (i), determine the binding energy per nucleon of bohrium atom ${}^{262}\mathrm{Bh}$ as follows:

Hence, the value of energy per nucleon is 7.31 MeV per nucleon.