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Binding Energy Formula

GoEnergy Released in Nuclear Reaction Formula

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Energy is the ability to do work, which is often understood as the ability to cause change or move objects from one place to another. Check FAQs

E = (Z \cdot m p + (A - Z) \cdot m n - m atom) \cdot {[c]}^{2}

E - Energy?Z - Atomic Number?m_p - Mass of Proton?A - Mass Number?m_n - Mass of Neutron?m_atom - Mass of Atom?[c] - Light speed in vacuum?

Binding Energy Example

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Here is how the Binding Energy equation looks like with Values.

Here is how the Binding Energy equation looks like with Units.

Here is how the Binding Energy equation looks like.

7.2E+16 = (2 \cdot 1.2 + (30 - 2) \cdot 1.3 - 38) \cdot {3E+8}^{2}

7.2E+16J = (2 \cdot 1.2kg + (30 - 2) \cdot 1.3kg - 38kg) \cdot {3E+8m/s}^{2}

7.2E+16 = (2 \cdot 1.2 + (30 - 2) \cdot 1.3 - 38) \cdot {3E+8}^{2}

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Binding Energy Solution

Follow our step by step solution on how to calculate Binding Energy?

FIRST Step Consider the formula

E = (Z \cdot m p + (A - Z) \cdot m n - m atom) \cdot {[c]}^{2}

Next Step Substitute values of Variables

∴

E = (2 \cdot 1.2kg + (30 - 2) \cdot 1.3kg - 38kg) \cdot {[c]}^{2}

Next Step Substitute values of Constants

∴

E = (2 \cdot 1.2kg + (30 - 2) \cdot 1.3kg - 38kg) \cdot {3E+8m/s}^{2}

Next Step Prepare to Evaluate

∴

E = (2 \cdot 1.2 + (30 - 2) \cdot 1.3 - 38) \cdot {3E+8}^{2}

Next Step Evaluate

∴

E = 7.19004142989452E+16J

LAST Step Rounding Answer

∴

E = 7.2E+16J

Binding Energy Formula Elements

Variables

Constants

Energy

Energy is the ability to do work, which is often understood as the ability to cause change or move objects from one place to another.

Symbol: E

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy

Atomic Number

Atomic Number is a unique whole number assigned to each chemical element, representing the number of protons present in the nucleus of an atom, used to identify and distinguish elements.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Mass of Proton

Mass of Proton is the amount of matter in a proton, a subatomic particle found in the nucleus of an atom and is a fundamental physical constant in physics.

Symbol: m_p

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Proton

Mass Number

Mass Number is the total number of protons present in the nucleus of an atom, which determines the identity of a chemical element and its position in the periodic table.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mass Number

Mass of Neutron

Mass of Neutron is the amount of matter in a neutron, a subatomic particle with no net electric charge, found in the nucleus of an atom.

Symbol: m_n

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Neutron

Mass of Atom

Mass of Atom is the total mass of protons, neutrons, and electrons that make up an atom, which is a fundamental unit of a chemical element.

Symbol: m_atom

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Atom

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Other Formulas to find Energy

Go Energy Released in Nuclear Reaction

E = ∆m \cdot {[c]}^{2}

Other formulas in Nuclear Physics category

Go Nuclear Radius

r = r 0 \cdot A^{\frac{1}{3}}

Go Decay Rate

D = - λ \cdot N total

Go Population at Time

N t = N o \cdot e^{- \frac{λ \cdot t}{3.156 \cdot 10^{7}}}

Go Half Life for Nuclear Decay

t half = \frac{0.693}{λ}

How to Evaluate Binding Energy?

Binding Energy evaluator uses Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2 to evaluate the Energy, Binding Energy formula is defined as the energy required to separate an atomic nucleus into its constituent parts, specifically the protons and neutrons, which is a measure of the strength of the nuclear force that holds the nucleus together, providing insight into the stability of an atom. Energy is denoted by E symbol.

How to evaluate Binding Energy using this online evaluator? To use this online evaluator for Binding Energy, enter Atomic Number (Z), Mass of Proton (m_p), Mass Number (A), Mass of Neutron (m_n) & Mass of Atom (m_atom) and hit the calculate button.

FAQs on Binding Energy

What is the formula to find Binding Energy?

The formula of Binding Energy is expressed as Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2. Here is an example- 7.2E+16 = (2*1.2+(30-2)*1.3-38)*[c]^2.

How to calculate Binding Energy?

With Atomic Number (Z), Mass of Proton (m_p), Mass Number (A), Mass of Neutron (m_n) & Mass of Atom (m_atom) we can find Binding Energy using the formula - Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2. This formula also uses Light speed in vacuum constant(s).

What are the other ways to Calculate Energy?

Here are the different ways to Calculate Energy-

Energy=Mass Defect*[c]^2

Can the Binding Energy be negative?

Yes, the Binding Energy, measured in Energy can be negative.

Which unit is used to measure Binding Energy?

Binding Energy is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Binding Energy can be measured.

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Binding Energy Formula

​GoEnergy Released in Nuclear Reaction Formula

Binding Energy Example

Binding Energy Solution

Binding Energy Formula Elements

Other Formulas to find Energy

Other formulas in Nuclear Physics category

How to Evaluate Binding Energy?

FAQs on Binding Energy

Variable Name

GoEnergy Released in Nuclear Reaction Formula