Chapter 42: Q20P (page 1303)

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

Short Answer

Expert verified

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

Step by step solution

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, $m_{n} = 1.008665 u$

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)

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

Short Answer

Step by step solution

The given data

Solve for the binding energy per nucleon of the atom:

Calculate the value of binding energy per nucleon

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

Short Answer

Step by step solution

The given data

Solve for the binding energy per nucleon of the atom:

Calculate the value of binding energy per nucleon

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Linear Momentum

Classical Mechanics

Modern Physics

Measurements

Further Mechanics and Thermal Physics

Particle Model of Matter

Study anywhere. Anytime. Across all devices.

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