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Using the Bohr equation, calculate the change in energy of a hydrogen atom for the following...

Using the Bohr equation, calculate the change in energy of a hydrogen atom for the following electronic transitions. You must show your work.(-2.179*10^-18 J)

a. n1 → n2

b. n8 → n5

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Answer #1

a) energy of transition in wavenumber if given by rydber equation

wavenumber = 10973731.6 ( 1/n1^2 -1/n2^2)

wavenumber = 10973731.6 ( 1/1 - 1/4) = 8230298.7 m-1

E = h x c x wavenumber = ( 6.625x10^-34) x ( 3 x 10^8) x ( 8230298.7)

                      = 1.636 x 10^ -18 J

b) wavenumber = 10973731.6 ( 1/8^2 -1/5^2) = - 267484.7

E = ( 6.625 x 10^ -34) x ( 3 x 10^8) x ( -267484.7) = -5.316 x 10^ -20

-ve sign indicates energy is released

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