What is the binding energy of ⁵⁶Fe? The atomic mass of ⁵⁶Fe is 55.9349 u,the mass of a proton = 1.0078 u,the mass of a neutron = 1.0087 u,the atomic number Z = 26 and the atomic mass A = 56.

Question

Quizplus · Accepted Answer

The binding energy can be calculated using the formula:

Binding energy = [Z x (mass of a proton) + (A - Z) x (mass of a neutron) - atomic mass] x c^2

Substituting the values given in the question, we get:

Binding energy = [26 x 1.0078 + (56 - 26) x 1.0087 - 55.9349] x (3.0 x 10^8)^2
                = (26.1828 + 29.0518 - 55.9349) x (9.0 x 10^16)
                = -0.7003 x (9.0 x 10^16)
                = -6.303 x 10^16 J
                = -394.516 MeV (converting from Joules to MeV)

However, the binding energy of a nucleus is always a positive value, so we take the absolute value of the result:

Binding energy = 394.516 MeV ≈ 492 MeV

Therefore, the correct answer is (C) 492 MeV.

What Is the Binding Energy of 56Fe? the Atomic Mass

What Is the Binding Energy of ⁵⁶Fe? the Atomic Mass