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Mass of Proton in Ev

March 16, 2013

Introduction Mass of Proton in eV:

Proton is a subatomic particle which carries a positive charge. The positive charge of the atomic nucleus is due to the protons which makes the whole positive charge of the atom. A proton is similar to the other proton whatever be the nucleus of the atom because mass of the proton is constant and also the charge whereas the mass of the whole atom can change due to the increase and decrease in the number of the protons in the nucleus. The proton is made up of three elementary particles called the quarks and the quark content of the proton is shown in the fig.1. Protons are similar to the H+ ion and along with the neutrons they are called as the nucleons.

                                   Quark content of proton

Fig.1 Quark content of proton

Mass of the Proton in electron volts:

The proton has a mass of

mp = 1.6726 x 10-27 kg

and it has a charge of

+e = +1.6 x 10-19 Coulomb

But the mass of the atomic particles are expressed in atomic mass unit abbreviated as amu.

Thus the mass of proton in amu is

mp = 1.007825 amu

Now we have to convert this mass of proton in electron volt abbreviated as eV but it is a unit of energy and one electron volt is equal to

1 eV = 1.6 x 10-19 J

Relation between amu and eV

According to Einstein the mass and energy are equivalently represented by

E = mc2

Taking m = 1 amu = 1.66 x 10-27 kg and c = 3 x 108 m / s

We get  E = (1.66 x 10-27) (3 x 108)2 J

= 1.49 x 10-10 J

= 1.49 x 10-10 / 1.6 x 10-19 eV

= 931.25 x 106 eV

Hence  1 amu = 931.25 x 106 eV

Thus the mass of the proton in the electron volt is given as

mp = 1.007825 amu = 1.007825 x 931.25 x 106 eV

= 938.54 x 106 eV.

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