Question

Chemistry!! Please help!!

Calculate the nuclear binding energy of a 32/16 S atom. The measured atomic mass of 32/16 S is 31.972 070 u.

Answer 1

4.993 ×10⁻¹¹ J

Step-by-step 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

`= \text{0.283 13 u} * \frac{ \text{1.66 06} * 10^(-27) \text{ kg}}{\text{1 u}}`

`= 4.700 * 10^(-28) \text{ kg}`

Use Einstein’s equation to convert the mass defect into energy

`E = mc^(2)`

`E = 4.7000 * 10^(-28) \text{ kg} * (2.998 * 10^(8) \text{ m}\cdot\text{s}^(-1))^(2) = 4.224 * 10^(-11) \text{ J}`