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Question

Chemistry Question on Atomic Structure

The ionization energy of sodium in kJ  mol1kJ \;mol^{−1}. If electromagnetic radiation of wavelength 242 nm is just sufficient to ionize sodium atom is ______.

Answer

E=1240λ(nm)eVE = \frac{1240}{\lambda (\text{nm})} \, \text{eV}
E=1240242eVE = \frac{1240}{242} \, \text{eV}
E=5.12eVE = 5.12 \, \text{eV}
E=5.12×1.6×1019J/atomE = 5.12 \times 1.6 \times 10^{-19} \, \text{J/atom}
E=8.198×1019J/atomE = 8.198 \times 10^{-19} \, \text{J/atom}
E=494kJ/molE = 494 \, \text{kJ/mol}