✖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.ⓘ Atomic Number [Z]			+10% -10%
✖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.ⓘ Mass of Proton [m_p]			+10% -10%
✖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.ⓘ Mass Number [A]			+10% -10%
✖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.ⓘ Mass of Neutron [m_n]			+10% -10%
✖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.ⓘ Mass of Atom [m_atom]			+10% -10%

✖Mass Defect is the difference between the mass of an atomic nucleus and the sum of the masses of its individual nucleons, providing insight into the nuclear binding energy.ⓘ Mass Defect [∆m]

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Formula

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Mass Defect

Formula

`"∆m" = "Z"*"m"_{"p"}+("A"-"Z")*"m"_{"n"}-"m"_{"atom"}`

Example

`"0.8kg"="2"*"1.2kg"+("30"-"2")*"1.3kg"-"38kg"`

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Mass Defect Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom
∆m = Z*m_p+(A-Z)*m_n-m_atom
This formula uses 6 Variables

Variables Used

Mass Defect - (Measured in Kilogram) - Mass Defect is the difference between the mass of an atomic nucleus and the sum of the masses of its individual nucleons, providing insight into the nuclear binding 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.
Mass of Proton - (Measured in Kilogram) - 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.
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.
Mass of Neutron - (Measured in Kilogram) - 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.
Mass of Atom - (Measured in Kilogram) - 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.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 2 --> No Conversion Required
Mass of Proton: 1.2 Kilogram --> 1.2 Kilogram No Conversion Required
Mass Number: 30 --> No Conversion Required
Mass of Neutron: 1.3 Kilogram --> 1.3 Kilogram No Conversion Required
Mass of Atom: 38 Kilogram --> 38 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆m = Z*m_p+(A-Z)*m_n-m_atom --> 2*1.2+(30-2)*1.3-38

Evaluating ... ...

∆m = 0.799999999999997

STEP 3: Convert Result to Output's Unit

0.799999999999997 Kilogram --> No Conversion Required

FINAL ANSWER

0.799999999999997 ≈ 0.8 Kilogram <-- Mass Defect

(Calculation completed in 00.006 seconds)

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< 11 Nuclear Physics Calculators

Binding Energy

Go Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2

Mass Defect

Go Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom

Population at Time

Go Number of Particles at Time = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7))

Population after N Half Lives

Go Number of Particles at Time = Number of Particles in Sample Initially/(2^(Number of Half Lives))

Decay Rate

Go Decay Rate = -Decay Constant*Total Number of Particles in Sample

Nuclear Radius

Go Nuclear Radius = Radius of Nucleon*Mass Number^(1/3)

Change in Mass in Nuclear Reaction

Go Mass Defect = Mass Reactant-Mass Product

Q-Value

Go Q Value = Initial Energy-Final Energy

Half Life for Nuclear Decay

Go Half Life Period = 0.693/Decay Constant

Average Life

Go Average Life = 1/Decay Constant

Energy Released in Nuclear Reaction

Go Energy = Mass Defect*[c]^2

Mass Defect Formula

Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom
∆m = Z*m_p+(A-Z)*m_n-m_atom

What is mass defect in physics?

Mass defect is the difference between the mass of an atomic nucleus and the sum of the masses of its individual nucleons (protons and neutrons). This mass loss occurs because some mass is converted into binding energy, which holds the nucleus together. The mass defect is a crucial concept in nuclear physics, as it explains the stability of nuclei and is related to the energy released in nuclear reactions via Einstein's equation.

How to Calculate Mass Defect?

Mass Defect calculator uses Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom to calculate the Mass Defect, Mass Defect formula is defined as the difference between the mass number of an atom and the sum of the masses of its protons and neutrons, providing a measure of the total binding energy that holds the nucleus together, which is a fundamental concept in nuclear physics and chemistry. Mass Defect is denoted by ∆m symbol.

How to calculate Mass Defect using this online calculator? To use this online calculator for Mass Defect, 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. Here is how the Mass Defect calculation can be explained with given input values -> 2.1 = 2*1.2+(30-2)*1.3-38.

FAQ

What is Mass Defect?

Mass Defect formula is defined as the difference between the mass number of an atom and the sum of the masses of its protons and neutrons, providing a measure of the total binding energy that holds the nucleus together, which is a fundamental concept in nuclear physics and chemistry and is represented as ∆m = Z*m_p+(A-Z)*m_n-m_atom or Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom. 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, 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, 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, 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 & 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.

How to calculate Mass Defect?

How many ways are there to calculate Mass Defect?

In this formula, Mass Defect uses Atomic Number, Mass of Proton, Mass Number, Mass of Neutron & Mass of Atom. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mass Defect = Mass Reactant-Mass Product

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