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CHAPTER 9

Atomic Structure

What are the electron configurations of Fe, Fe**, and Fe* ?

The electron configuration of magnesium is [Ne]3s?. What are the

quantum numbers for the 3s electrons?

What are the values of L for two electrons in the 3p orbitals?

mR crete es aC What are the values of S for two electrons in the 3p orbitals?

What is the orbital angular momentum (L) for a 4f electron?

What are the components of the angular momentum vector in the z

direction (L,) for a 4f electron?

The term symbol for a particular energy level is °F What are the values

of L and S for this energy level? :

Determine the atomic term symbol for a p° configuration.

The excitation of potassium electrons in a burner flame emits light with

a frequency (Vv) of 7.41 x 10!4 s-!. What is the wavelength (A) of this

light?

The excitation of potassium electrons in a burner flame emits light with —

a frequency (Vv) of 7.41 x 104 s-!, What is the energy (Z) of a photon

of this light?

Sodium vapor emits radiation with a wavelength (A) of 5.89 x 1077 m.

What is the energy (Z’) of a photon of this light?

42

McGraw-Hill’s 500 Physical Chemistry Questions

is Calculate the Hartree energy (£},) using the relationship £,, = icons

he

7:

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m.ay Calculate the Hartree energy (Fj) using the relationship £;, =

Calculate the Hartree energy (£;,) using the relationship £, = -— (4me,) nh? ;

Determine the value of the Bohr radius (4).

Determine the value of the Bohr magneton (Us).

What are allowed energies (£) of a 4f electron placed in a magnetic field of

1 tesla (T)?

The Rydberg equation allows the calculation of the frequency (v) of light

associated with an electronic transition for a hydrogen-like atom. The

Rydberg equation is V = R(4 = | , where R is the Rydberg constant

ny Ny

(3.29 x 10! s!), and m, and ny are the initial and final energy levels,

respectively. For the Balmer series, 7, is equal to 2. What is the frequency

of light in the Balmer series corresponding to the removal of an electron

(ny =o)?

What is the ionization energy (£) of atomic hydrogen?

The ionization energy (£) for a hydrogen atom is 2.18 x 107!° J. At what

temperature (7’) is the translational kinetic energy of a hydrogen atom

equal to the ionization energy?

What is the velocity of an electron in a ground-state hydrogen atom?

Determine the de Broglie wavelength (A) of an electron in a ground-state

hydrogen atom. The velocity (v) of the electron is 2.187692 x 10° ms7!.

‘The wavelength of an electron in a ground-state hydrogen atom is

3.324918 x 107! m. The electron in a ground-state hydrogen atom is in

an orbital with a radius equal to the Bohr radius (5.2917726 x 107!! m). Compare the circumference of the orbital to the wavelength of the

electron.

What is the reduced mass (|t) of a hydrogen atom?

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