Question

The measured nuclear mass of Ge-70 is 69.906694 amu. Calculate the nuclear binding energy for Ge-70 in joules per nucleon. Binding Energy Joules/Nucleon Binding energy is typically reported as a magnitude of energy (absolute value)

Answer 1

The nuclear binding energy for Ge-70 can be calculated by determining the mass defect and using the mass-energy equivalence equation. The binding energy per nucleon for Ge-70 is 0.078 MeV/nucleon.

Step-by-step explanation:

The nuclear binding energy for Ge-70 can be calculated using the mass-energy equivalence equation. First, we need to calculate the mass defect by subtracting the measured nuclear mass from the combined mass of its protons and neutrons. The mass defect for Ge-70 is 0.093306 amu. Then, we convert the mass defect to kilograms and use the equation E = mc², where c is the speed of light (3x10^8 m/s), to determine the binding energy. Finally, we divide the binding energy by the number of nucleons to find the binding energy per nucleon.

Using the measured nuclear mass of Ge-70, we have a mass defect of 0.093306 amu. Converting this to kilograms, we get 0.093306 amu x 1.66054x10^-27 kg/amu = 1.548x10^-29 kg. Plugging this value into the equation E = mc², we get E = (1.548x10^-29 kg) x (3x10^8 m/s)² = 4.392 Joules. Dividing the binding energy by the number of nucleons in Ge-70 (56 nucleons), we find that the binding energy per nucleon is 4.392 J / 56 nucleons = 0.078 MeV/nucleon.