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Chapter 38: Q 12 (page 1113)

FIGURE Q38.12 shows the energy-level diagram of Element X.

a. What is the ionization energy of Element X?

b. An atom in the ground state absorbs a photon, then emits a photon with a wavelength of 1240 nm. What was the energy of the photon that was absorbed?

c. An atom in the ground state has a collision with an electron, then emits a photon with a wavelength of 1240 nm. What conclusion can you draw about the initial kinetic energy of the electron?

Short Answer

Expert verified

a)E1=4.0eVb)Ephoton=3.0eVc)Eelec=3.0eV

Step by step solution

01

Step 1. A figure showing energy-level diagram of Element X. 

We need to find out :

a) The ionization energy of Element X.

b) The energy of the photon that was absorbed when atom in the ground state absorbs a photon, then emits a photon with a wavelength of 1240 nm.

c) Conclusion about the initial kinetic energy of the electron when atom in the ground state has a collision with an electron, then emits a photon with a wavelength of 1240 nm.

02

Step 2. Solving on the basis of basic concepts of energy-level diagram.

a) The ionization energy of Element X is :

E1=-4-0=4.0eV

b) Ephoton=3.0eVbecause it has to go from n = 1 to n = 3 to emit 1240 nm photon.

c) Eelec=3.0eVbecause it also has to go from n = 1 to n = 3 to emit 1240 nm photon.

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