The masses of a potassium-40 atom, a proton, and a neutron are 39.963999 amu, 1.

Question

The masses of a potassium-40 atom, a proton, and a neutron are 39.963999 amu, 1.007825 amu, and 1.008665 amu, respectively. Calculate to four significant figures

a. the mass defect in amu, and

b. the energy released in MeV/nucleon, in the formation of from the appropriate number of protons and neutrons.

The masses of a potassium-40 atom, a proton, and a neutron are 39.963999 amu, 1.007825 amu, and 1.008665 amu, respectively. Calculate to four significant figures the mass defect in amu, and the energy released in MeV/nucleon, in the formation of from the appropriate number of protons and neutrons.

Explanation / Answer

mass defect=mass of P-40-total mass of proton-total mass of neutrons

mass defect=(39.96399)-(1007825x19)-(1.008665x21)

=0.3666 amu Ans

energy released=(mass defectx931 MeV)/mass of P-40

energy released=(0.3666 amux931 MeV)/39.963999 per nucleon

=8.538 MeV/nucleon Ans

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