Calculate the nuclear binding energy of M_n(A=55,\ z=25) in joul

deiteresfp 2021-12-15 Answered
Calculate the nuclear binding energy of Mn(A=55, z=25) in joules.
The atomic mass of 5525Mn is 54.938 amu
The speed of light is c=3.00×108 ms
The mass of a proton is 1.0073 amu
The mass of a neutron is 1.0087 amu
The mass of an electron is 5.4858×104 aμ
1 kg=6.022×1026 aμ
1 J=1 kgm2s2
1 MeV=1.602×1013 J
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Expert Answer

Carl Swisher
Answered 2021-12-16 Author has 28 answers
The number of the neutrons of the substance is
N=AZ
=5525
=30
The expression for the final mass of the substance is
mf=Z(mp)+N(mn)
=25(1.0073 aμ)+30(1.0087 aμ)
=55.4435
The difference in mass is
m=mfmi
=55.4435 aμ54.938 aμ
=0.5055aμ(1.66×1027kg1aμ)
=8.39×1028kg
The binding energy is
BE=mc2
=(8.39×1028kg)(3×108ms)2
=7.55×1011J

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