calculating the binding energy for hydrogen isotopes


calculating the binding energy for  the binding energy on the three isotopes of hydrogen
hydrogen atom  three isotopes, the proton, deuterium and tritium.
 the hydrogen has a  measured mass of 1.007825, the 1st isotopes of hydrogen as only a proton, it binding energy can be said to be zero.
 the  binding energy fir the next isotope of hydrogen deuterium D, this  isotopes has a proton and a neutron,
 therefore the calculated mass will be
P(1.007825) + N(1.008665)= calculated mass.
1(1.007825) + 1(1.008665)= 2.01649
BUT THE MEASURED MASS is 2.014102
therefore the mass defects is    =   2.01649 -2.014102=0.002388
binding energy E =MC2
0.002388X (3 X 108)2 m/s
2.14920 x 108 MeV
to obtain the binding energy per nucleon , we divide the binding energy by the number of nucleons which is 2
we have 1.0746 x 108 MeV
to calculate the binding energy for tritium, we obtain
 the calculated mass as follows
(1.007825) + 2(1.008665)= 3.02516
while the measured mass is 3.016049
, thus  the mass defect is equal to 0.009111
 the binding energy is given as
E =MC2
0.009111 x (3 X 108)2 m/s
8.19990x 108 MeV
Binding energy per nucleon will be given by  4.5555x 107 MeV

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