   # Give the maximum number of electrons in an atom that can have these quantum numbers: a. n = 4 b. n = 5, m l = + l c. n = 5,m s = + 1 2 d. n = 3, l = 2 e. n = 2, l = 1 ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 2, Problem 81E
Textbook Problem
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## Give the maximum number of electrons in an atom that can have these quantum numbers:a. n = 4b. n = 5, ml = + lc. n = 5,ms = + 1 2 d. n = 3, l = 2e. n = 2, l = 1

(a)

Interpretation Introduction

Interpretation:

The maximum number of electrons for the given quantum numbers to be predicted.

Concept Introduction:

In an electronic configuration, each subshell can only have a definite number of orbitals. In s subshell, the number of orbitals is 1; in subshell p the number of orbitals is 3 , in d subshell the number of orbitals is 5 , in the f subshell the number orbitals is 7 and in subshell g the number of orbitals is 9 . The maximum number of electrons present in each orbital is 2.

To determine: The maximum number of electrons present in an atom having quantum number n=4 .

### Explanation of Solution

The maximum number of electrons present in an atom with quantum number n is 2n2

Where,

• n is the principal quantum number

For quantum number n=4 , the sub-shells possible are,

n=4s,4p,4d,4f

Number of orbitals possible in subshell 4s is 1 .

Numbers of orbitals possible in subshell 4p are 3 .

Numbers of orbitals possible in subshell 4d are 5

(b)

Interpretation Introduction

Interpretation:

The maximum number of electrons for the given quantum numbers to be predicted.

Concept Introduction:

In an electronic configuration, each subshell can only have a definite number of orbitals. In s subshell, the number of orbitals is 1; in subshell p the number of orbitals is 3 , in d subshell the number of orbitals is 5 , in the f subshell the number orbitals is 7 and in subshell g the number of orbitals is 9 . The maximum number of electrons present in each orbital is 2.

To determine: The maximum number of electrons present in an atom having quantum number n=5andml=+1 .

(c)

Interpretation Introduction

Interpretation:

The maximum number of electrons for the given quantum numbers to be predicted.

Concept Introduction:

In an electronic configuration, each subshell can only have a definite number of orbitals. In s subshell, the number of orbitals is 1; in subshell p the number of orbitals is 3 , in d subshell the number of orbitals is 5 , in the f subshell the number orbitals is 7 and in subshell g the number of orbitals is 9 . The maximum number of electrons present in each orbital is 2.

To determine: The maximum number of electrons present in an atom having quantum number n=5andms=+12 .

(d)

Interpretation Introduction

Interpretation:

The maximum number of electrons for the given quantum numbers to be predicted.

Concept Introduction:

In an electronic configuration, each subshell can only have a definite number of orbitals. In s subshell, the number of orbitals is 1; in subshell p the number of orbitals is 3 , in d subshell the number of orbitals is 5 , in the f subshell the number orbitals is 7 and in subshell g the number of orbitals is 9 . The maximum number of electrons present in each orbital is 2.

To determine: The maximum number of electrons present in an atom having quantum number n=3andl=2 .

(e)

Interpretation Introduction

Interpretation:

The maximum number of electrons for the given quantum numbers to be predicted.

Concept Introduction:

In an electronic configuration, each subshell can only have a definite number of orbitals. In s subshell, the number of orbitals is 1; in subshell p the number of orbitals is 3 , in d subshell the number of orbitals is 5 , in the f subshell the number orbitals is 7 and in subshell g the number of orbitals is 9 . The maximum number of electrons present in each orbital is 2.

To determine: The maximum number of electrons present in an atom having quantum number n=2andl=1 .

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