5. Absorption of radiation can cause electrons to hop up from a lower energy lev

Question

5. Absorption of radiation can cause electrons to hop up from a lower energy level to a higher energy level. If enough energy is put into the electron to promote it to the n-oo level, it has basically been removed from the atom, or "ionized". a) What energy is needed to ionize an electron from the n-3 energy level of hydrogen? b) What wavelength of radiation does this correspond to? c) What part of the electromagnetic spectrum does this fall in? 6. An electron in an atom is in the n 3 quantum level. List the possible values of E and m that it can have. 7. Write the electron configuration for the nickel atom (Ni) in full spdf notation, abbreviated spdf notation, and abbreviated box notation. a) Full spdf for Ni atom b) Abbreviated spdf for Ni atom c) Abbreviated box notation for Ni atom d) Abbreviated box notation for Ni3 cation

Explanation / Answer

I am solving the Q5 in detail as per Chegg guidelines, post multiple question to get the remaining answers

Q5)

a) Energy of an electron in hydrogen = -13.6/n^2

Energy required to move from nf=infinity to ni = 3

Energy Required = -13.6(1/infinity^2 - 1/(3)^2) = 13.6/9 = 1.511 eV

Energy in Joules = 1.511 eV = 1.511 * 1.6 * 10^(-19) J = 2.4176 * 10^(-19) J

b)

E = hc/lambda

lambda = (6.626 * 10^(-34) * 3 * 10^8)/(2.4176 * 10^(-19))

lambda = 8.22 * 10^(-7) = 822.22 nm

c)

It will be belonging to infrared since visible spectrum will spread from 400nm to 750nm

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