14 October 2010

Binding Energy, Mass Defect, & Einstein Equation

Ok, today update is 3 topics which are

1) Binding Energy (BE)
2) Mass Defect
3) Einstein Equation, E=mc2

BE in scientific terms is the amount of energy that must be supplied to a nucleus to completely separate its nuclear particles(nucleons). This definition is based on the fission process, whereby in order to separate the nucleons, we bombarded a nucleus with a minimum amount of energy known as BE.


Next, we go to mass defect. By scientific definition, mass defect is the difference between the mass of the atom and the sum of the masses of its constituent parts. To make this clear, let say I can take a water molecule H2O. If I can measure the weight of 1 H2O molecule, its mass is not the same as the mass of 2 Hydrogen atom + 1 Oxygen atom which is not combined.


How could this happen? Well, its due to the theory of mass defect as explained above. Besides that, the loss of mass is due to BE. Scientists believe that a portion of energy has been release which compromise the loss of mass in an atom if that particular atom has been separated within its neutron as shown if the figure above, when the fission process occurs. Next thing is related to Einstein famous equation as shown below:


So, people might ask how are BE, E=mc2 & Mass Defect relate to each other?? The answer is the amount of energy loss through Mass Defect is known as Binding energy, yes you all know that in the previous elaboration. In addition, the amount of energy lost through mass defect or rather the total amount of BE can be calculated thanks to Einstein. This is because, his equation has proven that 1amu (atomic mass unit) is equivalent to 931.5 MeV (mega electron volt) and the total Binding Energy in MeV is 931.5MeV multiplied with the total of Mass Defect in amu units as shown below:


So how does this relates with our life? Basically, if we can calculate BE/A where A is the atomic mass for each perspective elements, we will get that the highest value of BE/A is found in iron or rather Fe-56. That explains how come iron is abundant on Earth - due to its high BE/A value. Hope you learn something here =).

2 comments:

  1. Does the equation for BE explain the energy released in splitting uranium....and would you deduct the BE of the fission products to mathematically explain the total energy released?

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  2. the mass defect is the result of what action occurring?

    as result of nuclear decay process, either fusion or fusion reaction or formation of nuclear force
    the mass defect is as result of formation of binding energy in in stables atoms, the mass defect is equal to the amount of mass converted to energy needed to hold the nucleons together in the nucleus of atoms.
    the mass defects can be defined as the mass lost when an aggregate amount of protons and neutrons come together to form a nucleus. saw this on https://sasuwaphysics.blogspot.com/2016/10/the-mass-defect-is-result-of-what.html what is the correct answer

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