Chapter 7, Problem 15E

(a)

Interpretation Introduction

Interpretation: In the given structure, the relationship between X and $H_1$ group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.

(b)

Interpretation Introduction

Interpretation: In the given structure, the relationship between X and Z group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.

(c)

Interpretation Introduction

Interpretation: In the given structure, the relationship between Y and Z group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.

(d)

Interpretation Introduction

Interpretation: In the given structure, the relationship between $H_2$ and $H_3$ group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.

(e)

Interpretation Introduction

Interpretation: In the given structure, the relationship between Z and $H_3$ group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.

(f)

Interpretation Introduction

Interpretation: In the given structure, the relationship between Z and $H_4$ group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.

(g)

Interpretation Introduction

Interpretation: In the given structure, the relationship between Y and $H_3$ group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.

(h)

Interpretation Introduction

Interpretation: In the given structure, the relationship between $H_3$ and $H_4$ group needs to be determined.

Concept Introduction: Chair conformation is the most stable conformation of cyclohexane. It is represented as follows:

  

Here, the substituted groups in the chair conformation are represented as follows:

  

The groups showing in straight upward and downward directions are axial and the groups bend slightly right or left are equatorial.

In the chair conformation of the cyclohexane, if two groups are pointing in same direction, it is cis conformation and if the two groups are pointing in opposite direction then it is trans conformation.