Answer:
E = 9.2x10^-22 kJ/atom
Explanation:
Ok to do this, we only need to do simple conversions, and then, we will get the final answer for this.
Now, we know the energy required to remove one mole of electrons which in this case is 554 kJ. This can be interpreted as 554 kJ/mol, which means that every mol of the solid metal consumes 554 kJ of energy to be removed.
We also know by principle definition that in 1 mole of electron we have 6.02x10^23 atoms.
This works with almost every atom of the periodic table.
So, if 1 mole contains 6.02x10^23 atoms, we can know by rule of three how much energy is required to remove the mole from an atom:
1 mole/6.02x10^23 mol/atom
and if we have the energy of 554 kJ/mole, let's cancel both moles, by doing a division, and we will have the energy required per atom:
E = 554 kJ/mole / 6.02x10^23 mole/atom
E = 9.2x10^-22 kJ/atom
This is the energy required to remove an atom from the metal
