Question

What is mass defect and binding energy??no spam!!!!!!!!!!!!!!!!!!!!!
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Answer 1

MASS DEFECT:-

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The difference in the sum of masses of all nucleons present in a nucleus and the mass of the nucleus is called MASS DEFECT

➭When a number of protons and neutrons (nucleons) combine together to form a nucleus , a small fraction of their masses is lost which appears in the form of $\textbf{binding energy}$

let,

$m_{p}$ ➭ $\green{\texttt{mass of proton}}$

$m_{n}$ ➭ $\green{\texttt{mass of neutron}}$

$m_{N}$➭ $\green{\texttt{mass of nucleus}}$

Z ➭ $\green{\texttt{atomic number}}$ = no. Of protons

A ➭ $\green{\texttt{atomic weight}}$=

➭$\textbf{number of protons}$ +$\textbf{number of neutrons}$

Mass defect,

Δm ➭ [Z × $m_{p}$ + (A -Z )$m_{n}]$ - $M_{N}$ .

$\green{\textbf{Binding energy}}$ ➭

It is the energy with which nucleons are bound $\green{\texttt{in the nucleus}}$. It is measured by the work done to separate the nucleons on infinite distance apart from the nucleus so that they may not interact with each other.

➭The origin of binding energy is explained on the basis of $\green{\texttt{Einstein's mass energy}}$ relation,

$\Large E = mc^{2}$

Certain disappears in the form of energy, responsible for binding the nucleons together in the nucleus.

$\green{\texttt{mass binding energy}}$ of nucleus =➭

$[z \times m_{p} + (A - Z) \times m_{n} - M_{N}]\times {c}^{2}$

➭Where, C is $\green{\texttt{velocity of light}}$.

Answer 2

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Mass Defect-

The nuclear binding energy holds a significant difference between the nucleus actual mass and its expected mass depending on the sum of the masses of isolated components.

Since energy and mass are related based on the following equation-

E = mc²

Where c is the speed of light. In nuclei, the binding energy is so high that it holds the considerable amount of mass.

The actual mass is less than the sum of individual masses of the constituent neutrons and protons in every situation because energy is ejected when the nucleus is created. This energy consists of mass which is ejected from the total mass of the original components and called as mass defect. This the mass is missing in the final nucleus and describes the energy liberated when the nucleus is made.

Mass defect is determined as the difference between the atomic mass observed (Mo) and expected by the combined masses of its protons (mp, every proton has a mass of 1.00728 AMU) and neutrons (mn, 1.00867 AMU).

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Nuclear Binding Energy-

Once the mass defect is calculated, nuclear binding energy can be determined by converting mass to energy by applying E=mc2. When this energy is calculated which is of joules for a nucleus, you can scale it into per-mole quantities and per-nucleon. You need to multiply by Avogrado's number to convert into joules/mole and divide by the number of nucleons to convert to joules per nucleon.

Nuclear binding energy is also applied to situations where the nucleus splits into fragments that consist of more than one nucleon wherein, the binding energies of the fragments can be either negative or positive based on the position of the parent nucleus on the nuclear binding energy curve. When heavy nuclei split or if the new binding energy is known when the light nuclei fuses, either of these processes results in liberation of binding energy.

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