Electromagnetic radiation of wavelength 242 nm is just sufficient to ionise the sodium atom. Calculate the ionisation energy of sodium in kJ mol–1.
The energy required to ionize an atom or molecule is known as its ionization energy. We can determine the ionization energy of sodium using the given wavelength of 242 nm.
The energy of a photon cn ba calculated :
E = hc/λ
Substituting the values:
E = hc/λ
E = (6.626 x 10^-34 J s) x (299,792,458 m/s) / (242 x 10^-9 m)
E = 8.194 x 10^-19 J
To convert Joules to kilojoules per mole (kJ/mol), we can use the conversion factor:
1 kJ/mol = 6.022 x 10^23 J
Therefore, the ionization energy of sodium in kJ/mol is:
8.194 x 10^-19 J / (6.022 x 10^23 J/kJ mol^-1)
= 1361 kJ/mol (approx)
Therefore, the ionization energy of sodium is approximately 1361 kJ/mol.
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