The highest and lowest energy conformations of giving compound should be drawn. Concept Introduction: Newman projection: The conformational isomers are representing by the Newman projection drawing . Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom. The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain. In the Newman projection, the atoms or groups are attached to the center carbon by angle of 60° and this is called as a dihedral angle. The dihedral angle is varying by the rotation of C-C bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained. The highest energy conformation is eclipsed and lowest energy conformation is staggered. Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Question

Is nucleophilic acyl substitution an SN1 or SN2 reaction?

Answer 1

Question

Chapter 4.8, Problem 19PTS

(a)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(b)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(c)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(d)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

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Is nucleophilic acyl substitution an SN1 or SN2 reaction?

Draw product A, indicating what type of reaction occurs. NH2 F3C CF3 NH OMe NH2-NH2, ACOH A

Photochemical smog is formed in part by the action of light on nitrogen dioxide. The wavelength of radiation absorbed by NO2 in this reaction is 197 nm.(a) Draw the Lewis structure of NO2 and sketch its π molecular orbitals.(b) When 1.56 mJ of energy is absorbed by 3.0 L of air at 20 °C and 0.91 atm, all the NO2 molecules in this sample dissociate by the reaction shown. Assume that each absorbed photon leads to the dissociation (into NO and O) of one NO2 molecule. What is the proportion, in parts per million, of NO2 molecules in this sample? Assume that the sample behaves ideally.

Answer 2

Question

Chapter 4.8, Problem 19PTS

(a)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(b)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(c)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(d)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

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Answer 3

Question

Chapter 4.8, Problem 19PTS

(a)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(b)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(c)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(d)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

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Answer 4

Question

Chapter 4.8, Problem 19PTS

(a)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(b)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(c)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(d)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

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Answer 5

Chapter 4.8, Problem 19PTS

(a)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(b)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(c)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

(d)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 6

Chapter 4.8, Problem 19PTS

(a)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 7

Chapter 4.8, Problem 19PTS

(a)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 8

(b)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 9

(b)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 10

(c)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 11

(c)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 12

(d)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 13

(d)

Interpretation Introduction

Interpretation:

The highest and lowest energy conformations of giving compound should be drawn.

Concept Introduction:

Newman projection:

The conformational isomers are representing by the Newman projection drawing.

Newman projection representing by front carbon atom connected to 3 groups then the 3 groups connected circle is a back carbon atom.

The dark wedge is represent the out of the plain then the light wedge is represent the inside the plain.

In the Newman projection, the atoms or groups are attached to the center carbon by angle of $60°$ and this is called as a dihedral angle.

The dihedral angle is varying by the rotation of $C-C$ bond, result of this there are two conformations are obtained and this are staggered and eclipsed conformations obtained.

The highest energy conformation is eclipsed and lowest energy conformation is staggered.

Interaction between the groups present in the front and back carbon atoms are increases the energy of a compound all so increases.

Answer 14

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Ch. 4.2 - Prob. 1LTS Ch. 4.2 - Prob. 1PTS Ch. 4.2 - Prob. 2PTS Ch. 4.2 - Prob. 3ATS Ch. 4.2 - Prob. 2LTS Ch. 4.2 - Prob. 4PTS Ch. 4.2 - Prob. 5ATS Ch. 4.2 - Prob. 3LTS Ch. 4.2 - Prob. 6PTS Ch. 4.2 - Prob. 7ATS

Chapter 4 Solutions