calculate the binding energy of 1 mole of C-14 nuclei. The experimentally determined mass of carbon-14 atom (including its 6 electrons) is 14.00342 u

To calculate the binding energy of 1 mole of C-14 nuclei, we need to follow these steps:

1. Calculate the mass of 1 mole of C-14 nuclei in atomic mass units (u). Since 1 mole of any substance contains Avogadro's number (6.022 x 10^23) of particles, the mass of 1 mole of C-14 is 14.00342 u x 6.022 x 10^23 = 8.43 x 10^24 u.

2. Convert this mass to kilograms. 1 u is approximately equal to 1.66053906660 x 10^-27 kg, so the mass of 1 mole of C-14 in kg is 8.43 x 10^24 u x 1.66053906660 x 10^-27 kg/u = 1.40 x 10^-2 kg.

3. Use Einstein's mass-energy equivalence principle (E=mc^2) to calculate the energy equivalent of this mass. The speed of light (c) is approximately 3.00 x 10^8 m/s, so the energy equivalent of 1 mole of C-14 is E = (1.40 x 10^-2 kg) x (3.00 x 10^8 m/s)^2 = 1.26 x 10^15 Joules.

4. Convert this energy to electron volts (eV). 1 Joule is approximately equal to 6.242 x 10^18 eV, so the binding energy of 1 mole of C-14 is 1.26 x 10^15 Joules x 6.242 x 10^18 eV/Joule = 7.87 x 10^33 eV.

So, the binding energy of 1 mole of C-14 nuclei is approximately 7.87 x 10^33 electron volts.