Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

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

The binding energy per nucleon of is $7.31 MeV per nucleon$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data

The given atom is $^{262} Bh$ with atomic number Z = 107 and mass number A = 262.
The mass of the atom, $m_{B h} = 262.1231 u$
The atomic mass of the hydrogen, $m_{H} = 1.007825 u$
The atomic mass unit of neutron, $m_{n} = 1.008665 u$

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

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

$∆ E_{b e / n u c l e o n} = \frac{[Z m_{H} + (A - Z) m_{n} - m_{a t o m}] c^{2}}{A}$ …… (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 $^{262} Bh$ as follows:

$∆ E_{be / nucleon} = \frac{[(107) (1.007825 u) + (262 - 107) (1.008665 u) - (262.1231 u)] (931.5 \frac{MeV}{u})}{262} = 7.31 MeV per nucleon$

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

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Fundamentals Of Physics

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Short Answer

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

Step by Step Solution

Step 1: The given data

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

Step 3: Calculate the value of binding energy per nucleon

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Fundamentals Of Physics

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Short Answer

What is the binding energy per nucleon of 262Bh? The mass of the atom is 262.1231u.

Step by Step Solution

Step 1: The given data

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

Step 3: Calculate the value of binding energy per nucleon

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