In: Chemistry
calculate the mass defect and nuclear binding energy per nucleon (in mev) for c-16, a radioactive isotope of carbon with a mass of 16.014701 amu.
For 6C16
no of protons in 6C16 = 6
no. of neutrons = 16- 6 = 10
mass of proton = 1.00728 amu
mass of 6 protons = 6 x 1.00728 = 6.04368 amu
mass of neutron = 1.00867 amu
mass of 10 neutrons = 10 x 1.00867 = 10.0867 amu
total mass of 6C16 = 6 protons mass + 10 neutrons mass
= 6.04368 amu + 10.0867 amu
= 16.13038 amu
Actual mass of 6C16 = 16.014701 amu.
mass defect = calculated mass - actual mass
= 16.13038 amu - 16.014701 amu.
= 0.115679 amu
1 amu = 931.5 MeV
0.115679 amu = 0.115679 x 931.5 MeV = 107.75 MeV
Mass defect = 0.115679 amu = 107.75 MeV
Binding Energy = mass defect in amu x 931.5 MeV
= 0.115679 amu x 931.5 MeV
= 107.7549 MeV
Nuclear binding energy per nucleon = Binding Energy/ A ( A = mass number = protons + neutrons = 16)
= 107.7549 / 16
= 6.734 MeV
Nuclear binding energy per nucleon = 6.734 MeV