The binding energy of an atom can be calculated using the equation:

E = Δm * c^2

where E is the binding energy, Δm is the mass defect, and c is the speed of light.

The mass defect (Δm) is calculated by subtracting the actual mass of the nucleus from the sum of the masses of its individual protons and neutrons.

For 12C, which has 6 protons and 6 neutrons, the mass defect is:

Δm = (6 * 1.007825 u + 6 * 1.0086649 u) - 12 u = 0.0989314 u

To convert this mass defect into energy, we use the conversion factor 1 u = 931.5 MeV/c^2:

E = Δm * c^2 = 0.0989314 u * 931.5 MeV/c^2 = 92.16 MeV

So, the binding energy of 12C is approximately 92.2 MeV. Therefore, the correct answer is D. 92.2 MeV.

Question

The binding energy of an atom can be calculated using the equation:

E = Δm * c^2

where E is the binding energy, Δm is the mass defect, and c is the speed of light.

The mass defect (Δm) is calculated by subtracting the actual mass of the nucleus from the sum of the masses of its individual protons and neutrons.

For 12C, which has 6 protons and 6 neutrons, the mass defect is:

Δm = (6 * 1.007825 u + 6 * 1.0086649 u) - 12 u = 0.0989314 u

To convert this mass defect into energy, we use the conversion factor 1 u = 931.5 MeV/c^2:

E = Δm * c^2 = 0.0989314 u * 931.5 MeV/c^2 = 92.16 MeV

So, the binding energy of 12C is approximately 92.2 MeV. Therefore, the correct answer is D. 92.2 MeV.

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