It takes 550 kJ to remove one mole of electrons from the atoms at the surface of a solid metal.

How much energy does it take to remove a single electron from an atom at the surface of this solid metal?

There are 6.02E23 electrons in 1 mole of electrons, so

550 kJ/mol e x (1 mol e/6.02E23 e) = ? kJ/1 electron. Note the units are kJ/e.

To determine how much energy it takes to remove a single electron from an atom at the surface of a solid metal, one needs to use the concept of the amount of energy required to remove one mole of electrons, known as the ionization energy.

Given that it takes 550 kJ to remove one mole of electrons, we can use Avogadro's number (6.022 x 10^23) to convert the energy to the amount required to remove a single electron.

First, calculate the energy required to remove one mole of electrons:
550 kJ/mol

Now, convert moles to individual electrons:
550 kJ/mol ÷ (6.022 x 10^23 electrons/mol)

The result will give you the energy required to remove a single electron from an atom at the surface of the solid metal.