Question

Вычислите энергию связи ядра изотопа кислорода 16;8O, если масса протона 1,00728 а.е.м масса нейтрона 1,00866 а.е.м масса изотопа кислорода 15,99491 а.е.м срочно пожалуйста

Answer 1

Помог чем смог, вроде так

Answer 2

Calculation of Nuclear Binding Energy

To calculate the nuclear binding energy of an oxygen-16 isotope (8O), we need to use the mass defect formula and convert the masses of protons, neutrons, and the oxygen-16 isotope into atomic mass units (a.m.u).

The mass defect formula is given by:

Mass Defect = (Z * Mass of Proton) + (N * Mass of Neutron) - Mass of Oxygen-16

Where: - Z is the number of protons (atomic number) - N is the number of neutrons - Mass of Proton is the mass of a proton in atomic mass units (1.00728 a.m.u) - Mass of Neutron is the mass of a neutron in atomic mass units (1.00866 a.m.u) - Mass of Oxygen-16 is the mass of the oxygen-16 isotope in atomic mass units (15.99491 a.m.u)

Let's calculate the nuclear binding energy step by step:

1. Determine the number of protons (Z) and neutrons (N) in oxygen-16: - Oxygen-16 has 8 protons (Z) because its atomic number is 8. - To find the number of neutrons (N), subtract the number of protons from the total number of nucleons (protons + neutrons): N = Total number of nucleons - Number of protons N = 16 - 8 N = 8

2. Calculate the mass defect using the mass defect formula: Mass Defect = (Z * Mass of Proton) + (N * Mass of Neutron) - Mass of Oxygen-16

Substituting the values: Mass Defect = (8 * 1.00728) + (8 * 1.00866) - 15.99491

Calculating the mass defect: Mass Defect = 8.05904 + 8.06928 - 15.99491 Mass Defect = 16.12832 - 15.99491 Mass Defect = 0.13341 a.m.u

3. Calculate the nuclear binding energy using Einstein's mass-energy equivalence equation: Nuclear Binding Energy = Mass Defect * Speed of Light^2

The speed of light (c) is approximately 299,792,458 meters per second.

Substituting the values: Nuclear Binding Energy = 0.13341 * (299,792,458)^2

Calculating the nuclear binding energy: Nuclear Binding Energy = 0.13341 * 8.9875517923 * 10^16 Nuclear Binding Energy ≈ 1.1976 * 10^16 Joules

Therefore, the energy of binding for the oxygen-16 isotope is approximately 1.1976 * 10^16 Joules.