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Chemistry Question on Developments Leading to the Bohr’s Model of Atom

Electromagnetic radiation of wavelength 242 nm is just sufficient to ionize the sodium atom. Calculate the ionization energy of sodium in kJ mol–1.

Answer

Energy of sodium E=NAhcλE = \frac {N_Ahc}{λ}

E=(6.023×1023mol−1)(6.626×10−34Js)(3×108ms−1)242×10−9mE= \frac {(6.023×10^{23} mol^{-1})(6.626×10^{-34}Js)(3×10^8 ms^{-1})}{242 × 10^{-9} m}
E=4.947×105Jmol−1E= 4.947×10^5 J mol^{-1}
E=494.7×103Jmol−1E= 494.7×10^{3} J mol^{-1}
E=494 kJmol−1E= 494\ kJ mol^{-1}