Question

Chemistry!! Please help!!

Answer 1

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

$= \text{0.283 13 u} \times \frac{ \text{1.66 06} \times 10^{-27} \text{ kg}}{\text{1 u}}$

$= 4.700 \times 10^{-28} \text{ kg}$

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

$E = mc^{2}$

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