Question

Calculate the binding energy (in MeV/nucleon) for the following nuclides.Part A65Cu (atomic mass = 64.92779 u ).Part B 86Sr (atomic mass = 85.90926 u ).Express the energy in millions of electron volts to three significant figures for both parts.

Answer 1

To calculate the binding energy per nucleon for a nuclide, find the mass defect, calculate the total binding energy, and divide it by the number of nucleons. For 65Cu, the binding energy is approximately 1.98 MeV/nucleon. For 86Sr, the binding energy is approximately 3.24 MeV/nucleon.

Step-by-step explanation:

The binding energy per nucleon (BEN) for a nuclide is calculated using the formula: BEN = (total binding energy of the nucleus)/(number of nucleons). To find the binding energy in MeV, we use the formula: 1 amu = 931 MeV/c^2.

For Part A, we first need to find the mass defect. Mass defect = (mass of protons + mass of neutrons) - mass of nuclide. For 65Cu, the mass defect is 0.13813 amu. To find the total binding energy, we multiply the mass defect by 931 MeV/amu. The total binding energy is 128.64 MeV. Dividing this by the number of nucleons (65), we find that the binding energy per nucleon for 65Cu is approximately 1.98 MeV/nucleon.

For Part B, we follow the same steps. The mass defect for 86Sr is 0.29965 amu, resulting in a total binding energy of 278.59 MeV. Dividing this by the number of nucleons (86), we find that the binding energy per nucleon for 86Sr is approximately 3.24 MeV/nucleon.

Answer 2

To calculate the binding energy per nucleon for a nuclide, use the formula: Binding Energy per Nucleon = (Total Binding Energy)/ (Number of Nucleons). For the given nuclides 65Cu and 86Sr, the binding energy per nucleon is calculated to be 8.01 MeV/nucleon and 8.43 MeV/nucleon, respectively.

Step-by-step explanation:

To calculate the binding energy per nucleon for a nuclide, we can use the formula: Binding Energy per Nucleon = (Total Binding Energy)/ (Number of Nucleons).

For Part A, we can use the atomic mass of 65Cu (64.92779 u) to obtain the number of nucleons. The total binding energy can be found using the formula in Example 21.3. Substituting the values into the formula, we get a binding energy per nucleon of 8.01 MeV/nucleon (rounded to three significant figures).

For Part B, we can follow the same steps using the atomic mass of 86Sr (85.90926 u). Substituting the values into the formula, we get a binding energy per nucleon of 8.43 MeV/nucleon (rounded to three significant figures).