# How many orbitals correspond to each of the following designations? (a) 3 p (b) 4 p (c) 4 P x (d) 6 d (e) 5 d (f) 5 f (g) n = 5 (h) 7 s

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Chapter
Section

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 6, Problem 62GQ
Textbook Problem
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## How many orbitals correspond to each of the following designations? (a) 3p (b) 4p (c) 4Px (d) 6d (e) 5d (f) 5f (g) n = 5 (h) 7s

(a)

Interpretation Introduction

Interpretation: The maximum number of orbitals for 3p should be identified.

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.

### Explanation of Solution

Each value of l indicates subshell and for p subshells, l=1.

So for 3p orbital, n=3,l=1

(b)

Interpretation Introduction

Interpretation: The maximum number of orbitals for 4p should be identified.

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.

(c)

Interpretation Introduction

Interpretation: The maximum number of orbitals for 4px should be identified.

Concept introduction:

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

1. e) Principle quantum number is represented by n and this number describes the energy of the orbital and the size of an atom.
2. f) Angular momentum quantum number (or azimuthal quantum number) is represented by l and this number indicates the shape of the orbitals.
3. g) Magnetic quantum number is represented by ml and this number indicates the orientation of the orbital.
4. h) 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.

In a shell, there are n2 number of orbital

(d)

Interpretation Introduction

Interpretation: The maximum number of orbitals for 6d should be identified.

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 for 5d should be identified.

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.

(f)

Interpretation Introduction

Interpretation: The maximum number of orbitals for 5f should be identified.

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.

(g)

Interpretation Introduction

Interpretation: The maximum number of orbitals for n=5 should be identified.

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 shell, there are n2 number of orbital

(h)

Interpretation Introduction

Interpretation: The maximum number of orbitals for 7s should be identified.

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.

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