Answer
\( 7.90 \times 10^{-22} \mathrm{~kJ} \)
Work Step by Step
To remove 1 mole of electrons from the atoms at the surface of the solid metal, it takes \( 476 \mathrm{~kJ} \). Since 1 mole of electrons is approximately \( 6.022 \times 10^{23} \) electrons, the energy required to remove a single electron can be calculated by dividing the energy required to remove 1 mole of electrons by Avogadro's number.
So, the energy required to remove a single electron from an atom at the surface of this solid metal is:
\[ \frac{476 \mathrm{~kJ}}{6.022 \times 10^{23}} \approx 7.90 \times 10^{-22} \mathrm{~kJ} \]
Therefore, it takes approximately \( 7.90 \times 10^{-22} \mathrm{~kJ} \) to remove a single electron from an atom at the surface of this solid metal.
