Chapter 6, Problem 67GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Answer the following questions as a summary quiz on the chapter. (a) The quantum number n describes the ______ of an atomic orbital. (b) The shape of an atomic orbital is given by the quantum number _______. (c) A photon of green light has _______ (less or more) energy than a photon of orange light. (d) The maximum number of orbitals that may be associated with the set of quantum numbers n = 4 and ℓ = 3 is ________. (e) The maximum number of orbitals that may be associated with the quantum number set n = 3, ℓ = 2, and mℓ = −2 is _______. (f) Label each of the following orbital pictures with the appropriate letter: (g) When n = 5, the possible values of ℓ are _________. (h) The number of orbitals in the n = 4 shell is _______.

(a)

Interpretation Introduction

Interpretation: For an atomic orbital what does the quantum number n describes should be given.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a) Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b) Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c) Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d) Spin quantum number is represented by ms and this number indicates the spin of the electron.
Explanation

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

Principle quantum number is represented by n and this num...

(b)

Interpretation Introduction

Interpretation: The quantum number that indicates the shape of an atomic orbital should be given.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a. Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b. Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c. Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d. Spin quantum number is represented by ms and this number indicates the spin of the electron.

(c)

Interpretation Introduction

Interpretation: The photon of green light is whether less or more energetic than a photon of orange light should be determined.

Concept introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• Visible light lies in the wavelength of 400nm to 700nm

• Planck’s equation,

E==hcλwhere, E=energyh=Planck'sconstantν=frequency

The energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases.

(d)

Interpretation Introduction

Interpretation: The maximum number of orbitals that is associated when n=4 and l=3 should be determined.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a. Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b. Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c. Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d. Spin quantum number is represented by ms and this number indicates the spin of the electron.

In a subshell there are (2l+1) number of orbital.

(e)

Interpretation Introduction

Interpretation: The maximum number of orbitals that is associated when n=4 and l=3 should be determined.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a. Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b. Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c. Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d. Spin quantum number is represented by ms and this number indicates the spin of the electron.

The values of l when the principal quantum number is n are from 0 to (n1). Each l value indicates subshell.

The values of ml when the orbital angular quantum number is l are from l to +l.

(f)

Interpretation Introduction

Interpretation: The appropriate letters should be labelled for the given orbital pictures.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a. Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b. Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c. Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d. Spin quantum number is represented by ms and this number indicates the spin of the electron.

The values of l when the principal quantum number is n are from 0 to (n1). Each l value indicates subshell.

(g)

Interpretation Introduction

Interpretation: The possible values of l when n=5 should be determined.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a. Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b. Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c. Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d. Spin quantum number is represented by ms and this number indicates the spin of the electron.
• The values of l when the principal quantum number is n are from 0 to (n1). Each l value indicates subshell.

(h)

Interpretation Introduction

Interpretation: The number of orbitals when n=4 should be determined.

Concept introduction:

Quantum numbers are numbers, which explains the existence and the behavior of electron in an atom.

1. a. Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. b. Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. c. Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. d. Spin quantum number is represented by ms and this number indicates the spin of the electron.

There are n2 number of orbitals in a shell for the principal quantum number, n.

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