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-21 This energy diagram shows the allowed energy levels of an electron in a cert

ID: 543359 • Letter: #

Question

-21 This energy diagram shows the allowed energy levels of an electron in a certain atom. (Note: the SI prefix 'zepto means 10 any SI prefix in the ALEKS Data tab.) You can find the meaning of energy (z)) Use this diagram to complete the table below. What is the energy of the electron in the ground state? 10 What is the energy of the electron in the first excited state? O absorbed If the electron makes the transition shown by the red arrow, from A to C, will a photon be absorbed or emitted mitted? Calculate the wavelength of the photon that would be absorbed or emitted. Round your answer to 3 significant digits.

Explanation / Answer

a)

energy at grounstate, i..e A = ?

from the diagram

E = 400 zJ from ground state

b)

energy of 1st excited state, i.e. 8

E = 750 zJ approx

c)

from A to C, there is absorbtion of energy, since C requires much more energy than A

d)

find WL for a photon from

E = nf-ni = (1050 - 400) = 650 zJ = 650*10^-21 J

now,

For the wavelength:

WL = h c / E

h = Planck Constant = 6.626*10^-34 J s

c = speed of particle (i.e. light) = 3*10^8 m/s

E = energy per particle J/photon

WL = wavelength in meters

WL = (6.626*10^-34)(3*10^8)/( 650*10^-21 )

WL = 3.05815*10^-7 m

to nanometers:

WL = (3.05815*10^-7)(10^9) = 305.815 nm