Mystery element X has the electron energy levels shown in the figure below, in which E₁ = -9.1 eV, E₂ = -4.2 eV, and E₂ = -2.8 ev. The dashed line is not an energy level, but rather just shows the location of zero energy. 0 eV n=3 E3 n=2 E₂ n=1 E₁ (a) How much energy does it take to ionize, or remove, an electron that is in the ground state of this atom? 9.1 ✔ ev (b) There is one transition in the emission spectrum that will not be observed in the absorption transition. What is the (positive) energy of this transition? 7 x ev (c) What is the wavelength of the photon emitted in this transition? 1970 x nm (d) Now consider the absorption spectrum. What is the energy of the transition in the absorption spectrum that has the shortest wavelength? HINT: Identify the transitions that occur in the absorption spectrum and then think about how energy and wavelength are related. xev 4.9 (e) What is the wavelength of the photon that is absorbed in this transition? 2533 x nm (f) What type of light is this transition? O ultraviolet O visible Ⓒ infrared X

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Mystery element X has the electron energy levels shown in the figure below, in which E₁ = -9.1 eV, E₂ = -4.2 eV, and E3 = -2.8 eV. The dashed line is not an energy level, but rather just shows the location of zero energy.
n = 00
0 eV
n = 3
E 3
n = 2
E 2
n = 1
E₁
(a) How much energy does it take to ionize, or remove, an electron that is in the ground state of this atom?
9.1
eV
(b) There is one transition in the emission spectrum that will not be observed in the absorption transition. What is the (positive) energy of this transition?
7
X ev
(c) What is the wavelength of the photon emitted in this transition?
1970
x nm
(d) Now consider the absorption spectrum. What is the energy of the transition in the absorption spectrum that has the shortest wavelength? HINT: Identify the transitions that occur in the absorption spectrum and then think about how energy and wavelength are
related.
X ev
4.9
(e) What is the wavelength of the photon that is absorbed in this transition?
2533
x nm
(f) What type of light is this transition?
O ultraviolet
O visible
O infrared
Transcribed Image Text:Mystery element X has the electron energy levels shown in the figure below, in which E₁ = -9.1 eV, E₂ = -4.2 eV, and E3 = -2.8 eV. The dashed line is not an energy level, but rather just shows the location of zero energy. n = 00 0 eV n = 3 E 3 n = 2 E 2 n = 1 E₁ (a) How much energy does it take to ionize, or remove, an electron that is in the ground state of this atom? 9.1 eV (b) There is one transition in the emission spectrum that will not be observed in the absorption transition. What is the (positive) energy of this transition? 7 X ev (c) What is the wavelength of the photon emitted in this transition? 1970 x nm (d) Now consider the absorption spectrum. What is the energy of the transition in the absorption spectrum that has the shortest wavelength? HINT: Identify the transitions that occur in the absorption spectrum and then think about how energy and wavelength are related. X ev 4.9 (e) What is the wavelength of the photon that is absorbed in this transition? 2533 x nm (f) What type of light is this transition? O ultraviolet O visible O infrared
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