Question

Draw every stereoisomer for 1,2-difluoro-1,2-dimethylcyclopentane. use wedge-and-dash bonds for the substituent groups, and be sure that they are drawn on the outside of the ring, adjacent to each other. the skeletal structure of one molecule is included to indicate the proper format; modify the x\'s on the given structure to create the first stereoisomer.

Answer 1

The total number of stereoisomers of 1,2-difluoro-1,2-dimethylcyclopentane is $\boxed3$ and for the structures refer to the image attached.

Further Explanation:

Concept:

To determine the total stereoisomers of 1,2-difluoro-1,2-dimethylcyclopentane we use the formula given below.

$\boxed{{\text{Number of stereoisomers}} = {{\text{2}}^{\text{n}}} - 1}$                                                                               ......(1)

Where, n denotes the total number of chiral center present in the molecule.

Solution:

In 1,2-difluoro-1,2-dimethylcyclopentane, there are 2 chiral centers present in the molecule therefore, the value of n is equal to 2.

Substitute the value of n in the equation (1).

$\begin{gathered}{\text{Number of stereoisomers}} = {{\text{2}}^{\text{n}}} - 1 \\= {{\text{2}}^{\left( 2 \right)}} - 1 \\=3 \\ \end{gathered}$

Therefore, the total number of stereoisomers of 1,2-difluoro-1,2-dimethylcyclopentane is 3.

Wedge bonds are the bonds that are pointed towards the viewer while dash bonds are the bonds that are pointed away the viewer. Line bonds are present in the plane of paper.

The stereoisomers of 1,2-difluoro-1,2-dimethylcyclopentane are as follows(Refer to the image attached):  

1. In first stereoisomer structure, both methyl groups are attached at the C-1 and C-2 position by wedge bonds and both F atoms by dash bonds or vice-versa. Both are the same stereoisomer.

2. In second stereoisomer structure, methyl group is attached at C-1 position by dash bond and methyl group is attached at C-2 carbon by wedge bond. Therefore, F atom is attached at C-1 position by wedge bond and F atom is attached at C-2 position by dash bond.

3. In third stereoisomer structure, methyl group is attached at C-1 position by wedge bond and methyl group is attached at C-2 carbon by dash bond. Therefore, F atom is attached at C-1 position by dash bond and F atom is attached at C-2 position by wedge bond.

Learn more:

1. Molecular shape around the central atoms in the amino acid glycine: brainly.com/question/4341225

2. Calculation of volume of gas: brainly.com/question/3636135

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Stereochemistry

Keywords: Stereochemistry, stereoisomer, stereoisomers, structure, difluoro, dimethyl, chiral center, total number, total chiral center, 1,2-difluoro-1,2-dimethylcyclopentane, wedge bond, dash bond.

Answer 2

The three isomers of 1,2-difluoro-1,2-dimethylcyclopentane are shown. To distinguish the three isomers we can assign the stereocenters as either R or S. Moving from left to right, the first compound has the stereocenters (1R, 2S). The compound in the middle has stereocenters (1R, 2R). The third compound on the right has stereocenters (1S, 2S). It is possible to draw what appears to be another stereoisomers with stereocenters (1S, 2R), however, this compound is a meso-compound and is identical to (1R, 2S). So there are only three unique stereoisomers of 1,2-difluoro-1,2-dimethylcyclopentane.