Answer :
Final answer:
The calculation of the mass defect, packing fraction, and binding energy for an oxygen-17 atom requires subtracting the nucleus's mass from that of the individual nucleons, dividing the mass defect by the mass number to find the packing fraction, and using the mass-energy equivalence to determine the binding energy. The mass defect must be converted to kilograms before applying Einstein's formula.
Explanation:
The question involves calculating the mass defect, which is the difference in mass between the nucleus and the sum of its parts; the packing fraction, which represents how densely the nucleons are packed inside the nucleus; and the binding energy of the last added neutron in an oxygen-17 atom.
To find the mass defect ( riangle m), we subtract the mass of the nucleus from the total mass of the individual protons and neutrons that make up the nucleus. The packing fraction is found by dividing the mass defect by the mass number (A). The binding energy (BE) is then calculated using Einstein's mass-energy equivalence formula, BE = ( riangle m)c^2, where c is the speed of light. We convert the mass defect from atomic mass units (amu) to kilograms to use with the equivalence equation (1 u = 1.660539 x 10^-27 kg).
Regarding the given question, none of the provided answer choices for the Oxygen-17 atom can directly be verified without additional data about the atomic masses of Oxygen-17, its nucleons, and the exact calculation steps. However, to generally calculate the binding energy, we first convert the mass defect from atomic mass units to kilograms, then use the formula BE = ( riangle m)c^2 to find the energy in joules, which can be converted into electron volts (1 eV = 1.602 x 10^-19 J).
