Electromagnetic radiation of wavelength 242 nm is just sufficient to ionise the
sodium atom. Calculate the ionisation energy of sodium in kJ mol?
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Answer:
Here,
wavelength ( λ ) = 242 nm = 2.42 × 10^-7 m
we know,
Energy ( E ) = hc/λ
here, h is Plank's constant
c is the speed of light
and λ is the wavelength of photons
so, E = 6.626 × 10^-34 Js × 3 × 10^8 m/s /2.42 × 10^-7 m
= 0.0821 × 10^-17 J / atom
0.0821 × 10^-17 J energy is sufficient for ionisation of one Na atom , so it is the ionisation energy of Na .
hence, I.E = 0.0821 × 10^-17 J/atom
= 0.0821 × 10^-17 × 6.022 × 10²² J/mol
= 4.945 × 10^5 J/mol
= 4.945 × 10² KJ/mol
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