Answer:
4.993 ×10⁻¹¹ J
Explanation:
The nuclear binding energy is the energy equivalent to the mass defect.
The mass defect is the difference between the mass of a nucleus and the sum of the masses of its nucleons.
Calculate the mass defect
16 p = 16 × 1.007 28 u = 16.116 48 u
16 n = 16 × 1.008 67 u = 16.138 72 u
Total mass of nucleons = 32.255 20 u
- Mass of S-32 = 31.972 070 u
Mass defect = 0.283 13 u
Convert the unified atomic mass units to kilograms.
Mass defect
[tex]= \text{0.283 13 u} \times \frac{ \text{1.66 06} \times 10^{-27} \text{ kg}}{\text{1 u}}[/tex]
[tex]= 4.700 \times 10^{-28} \text{ kg}[/tex]
Use Einstein’s equation to convert the mass defect into energy
[tex]E = mc^{2}[/tex]
[tex]E = 4.7000 \times 10^{-28} \text{ kg} \times (2.998 \times 10^{8} \text{ m}\cdot\text{s}^{-1})^{2} = 4.224 \times 10^{-11} \text{ J}[/tex]
