Mass Defect Calculator

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✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Mass of Proton is 1.67262 × 10−27.ⓘ Mass of Proton [m_p]			+10% -10%
✖Mass Number is the sum of protons and neutrons in an atom of an element.ⓘ Mass Number [A]			+10% -10%
✖Mass of Neutron is 1.674927471×10−27 kg.ⓘ Mass of Neutron [m_n]			+10% -10%
✖Mass of Atom is the product of atomic number and mass number.ⓘ Mass of Atom [m_atom]			+10% -10%

✖Mass Defect is the difference between the actual atomic mass and the predicted mass.ⓘ 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

`"21.29696u"="17"*"1.00728u"+("37"-"17")*"1.00866u"-"16u"`

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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 actual atomic mass and the predicted mass.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Mass of Proton - (Measured in Kilogram) - Mass of Proton is 1.67262 × 10−27.
Mass Number - Mass Number is the sum of protons and neutrons in an atom of an element.
Mass of Neutron - (Measured in Kilogram) - Mass of Neutron is 1.674927471×10−27 kg.
Mass of Atom - (Measured in Kilogram) - Mass of Atom is the product of atomic number and mass number.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Mass of Proton: 1.00728 Atomic Mass Unit --> 1.67262893284352E-27 Kilogram (Check conversion here)
Mass Number: 37 --> No Conversion Required
Mass of Neutron: 1.00866 Atomic Mass Unit --> 1.67492047831978E-27 Kilogram (Check conversion here)
Mass of Atom: 16 Atomic Mass Unit --> 2.65686432029787E-26 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆m = Z*m_p+(A-Z)*m_n-m_atom --> 17*1.67262893284352E-27+(37-17)*1.67492047831978E-27-2.65686432029787E-26

Evaluating ... ...

∆m = 3.53644582217567E-26

STEP 3: Convert Result to Output's Unit

3.53644582217567E-26 Kilogram -->21.2969599999999 Atomic Mass Unit (Check conversion here)

FINAL ANSWER

21.2969599999999 ≈ 21.29696 Atomic Mass Unit <-- Mass Defect

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 11 Nucleus Calculators

Binding Energy

Go Binding 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 t

Go Number of Particles at Time t = 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 t = 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?

Careful measurements have shown that the mass of a particular atom is always slightly less than the sum of the masses of the individual neutrons, protons, and electrons of which the atom consists. The difference between the mass of the atom and the sum of the masses of its parts is called the mass defect (Δm).

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, The Mass Defect formula is defined as the difference between the actual atomic mass and the predicted mass. 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 -> 1.3E+28 = 17*1.67262893284352E-27+(37-17)*1.67492047831978E-27-2.65686432029787E-26.

FAQ

What is Mass Defect?

The Mass Defect formula is defined as the difference between the actual atomic mass and the predicted mass 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 the number of protons present inside the nucleus of an atom of an element, Mass of Proton is 1.67262 × 10−27, Mass Number is the sum of protons and neutrons in an atom of an element, Mass of Neutron is 1.674927471×10−27 kg & Mass of Atom is the product of atomic number and mass number.

How to calculate Mass Defect?

The Mass Defect formula is defined as the difference between the actual atomic mass and the predicted mass is calculated using Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom. To calculate Mass Defect, you need Atomic Number (Z), Mass of Proton (m_p), Mass Number (A), Mass of Neutron (m_n) & Mass of Atom (m_atom). With our tool, you need to enter the respective value for Atomic Number, Mass of Proton, Mass Number, Mass of Neutron & Mass of Atom and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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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