Chemistry, asked by Colonkatherine4, 1 year ago

Calculate the energy of light emitted as an electron relaxes from the n = 5 to the n = 3 energy level of a hydrogen atom

Answers

Answered by smartykiller
1
The n = 5 to n = 3 electron transition is part of the Paschen series.

To calculate the energy that corresponds to this specific electron transition you'll have to use the Rydberg equation

E=RE⋅(1n2final−1n2initial), where

RE - the Rydberg constant, equal to 2.78⋅10−18J;
nfinal - the final energy level of the transition;
ninitial - the initial energy level of the transition.

Plug your values into the above equation and solve for E

E=2.178⋅10−18J⋅(132−152)=1.55⋅10−19J

To determine the frequency of the light emitted in this transition, use the relationship that exists between energy, frequency, and Planck's constant

E=h⋅ν, where

h - Planck's constant, equal to 6.626⋅10−34J s
ν - the frequency of the emitted photon.

Solving for ν will give you

ν=Eh=1.55⋅10−19J6.626⋅10−34Js=2.34⋅1015s−1

 Hope it's help you


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