Chapter 5, Problem 94A

Interpretation Introduction

(a)

Interpretation:

The maximum number of electrons that can be contained in an atom’s orbitals having the $3$ principal quantum numbers needs to be determined.

Concept introduction:

The principal quantum number is indirectly describes the size of the electron orbital.

Answer to Problem 94A

Principal quantum number $3$ can have maximum electron is $2{\left(3\right)}^2=18$.

Explanation of Solution

The principal quantum number is the quantum number denoted by  $n$  It is always assigned an integer value

For example:

$n$ $=$ $1$, $2$, $3$

Note that its value never be $0.$

Each principal energy level can contain up to $2n^2$ electrons, where n is the number of the level.

Based on above rule:

Third level can have maximum electron up to $18$, $2{\left(3\right)}^2$ $=18$.

(b)

Interpretation Introduction

Interpretation:

The maximum number of electrons that can be contained in an atom’s orbitals having the $4$ principal quantum numbers needs to be determined.

Concept introduction:

The principal quantum number is indirectly describes the size of the electron orbital.

Answer to Problem 94A

Principal quantum number $4$ can have maximum electron is $2{\left(4\right)}^2=32$

Explanation of Solution

The principal quantum number is the quantum number denoted by  $n$  It is always assigned an integer value

For example:

$n$ $=$ $1$, $2$, $3$ …….

but its value never be $0.$

Each principal energy level can contain up to $2n^2$ electrons, where n is the number of the level.

Based on above rule:

Fourth level has up to $2{\left(4\right)}^2=32$

Interpretation Introduction

(c)

Interpretation:

The maximum number of electrons that can be contained in an atom’s orbitals having the $6$ principal quantum numbers needs to be determined.

Concept introduction:

The principal quantum number is indirectly describes the size of the electron orbital.

Answer to Problem 94A

Principal quantum number $6$ can have maximum electron is $2{\left(6\right)}^2=72$

Explanation of Solution

Explanations: The principal quantum number is the quantum number denoted by  $n$  It is always assigned an integer value

For example:

$n$ $=$ $1$, $2$, $3$ …….

but its value never be $0.$

Each principal energy level can contain up to $2n^2$ electrons, where n is the number of the level.

Based on above rule:

Sixth up to $2{\left(6\right)}^2=72$

(d)

Interpretation Introduction

Interpretation:

The maximum number of electrons that can be contained in an atom’s orbitals having the $7$ principal quantum numbers needs to be determined.

Concept introduction:

The principal quantum number is indirectly describes the size of the electron orbital.

Answer to Problem 94A

Principal quantum number $7$ can have maximum electron is $2{\left(7\right)}^2=98$.

Explanation of Solution

The principal quantum number is the quantum number denoted by  $n$  It is always assigned an integer value

$e.g$ $n$ $=$ $1$, $2$, $3$ …….

but its value never be $0.$

Each principal energy level can contain up to $2n^2$ electrons, where n is the number of the level.

Based on above rule:

Seventh up to $2{\left(7\right)}^2=98$