Question #89156
When an electron in an atom of element X relaxes from the third excited state to the ground state light is emitted. The light is found to have an energy of 1260 kJ/mol. What is the wavelength, in nm (to 1 decimal place, input value only), of the light?
1
Expert's answer
2019-05-06T05:04:57-0400

Solution.

λ=1/(R(1/(n2)1/(k2)))\lambda = 1/(R*(1/(n^2) - 1/(k^2)))

n = 1

k = 3

R = 1.097*10^-7


λ=1/(1.097(107)(11/9))=102.6nm\lambda = 1/(1.097*(10^-7)*(1-1/9)) = 102.6 nm

Answer:

λ=102.6nm\lambda = 102.6 nm


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