Textbook Question
Draw 1,2,3,4,5,6-hexachlorocyclohexane with
a. all the chloro groups in axial positions.
b. all the chloro groups in equatorial positions.
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Ch. 3 - An Introduction to Organic Compounds:Nomenclature, Physical Properties, and Structure
Bruice8th EditionOrganic ChemistryISBN: 9780135213711
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Table of contents
- Ch. 1 - Remembering General Chemistry: Electronic Structure and Bonding (Part 1)31
- Ch. 1 - Remembering General Chemistry: Electronic Structure and Bonding (Part 2)65
- Ch. 2 - Acids and Bases: Central to Understanding Organic Chemistry84
- Ch. 3 - An Introduction to Organic Compounds:Nomenclature, Physical Properties, and Structure183
- Ch. 4 - Isomers: The Arrangement of Atoms in Space121
- Ch. 5 - Alkenes: Structure, Nomenclature, and an Introduction to Reactivity • Thermodynamics and Kinetics83
- Ch. 6 - The Reactions of Alkenes • The Stereochemistry of Addition Reactions175
- Ch. 7 - The Reactions of Alkynes • An Introduction to Multistep Synthesis119
- Ch. 8 - Delocalized Electrons: Their Effect on Stability, pKa, and the Products of a Reaction • Aromaticity and Electronic Effects: An Introduction to the Reactions of Benzene148
- Ch. 9 - Substitution and Elimination Reactions of Alkyl Halides212
- Ch. 10 - Reactions of Alcohols, Ethers, Epoxides, Amines, and Sulfur-Containing Compounds131
- Ch. 11 - Organometallic Compounds60
- Ch. 12 - Radicals90
- Ch. 13 - Mass Spectrometry; Infrared Spectroscopy; UV/Vis Spectroscopy62
- Ch. 14 - NMR Spectroscopy95
- Ch. 15 - Reactions of Carboxylic Acids and Carboxylic Acid Derivatives123
- Ch. 16 - Reactions of Aldehydes and Ketones • More Reactions of Carboxylic Acid Derivatives141
- Ch. 17 - Reactions at the Alpha-Carbon101
- Ch. 18 - Reactions of Benzene and Substituted Benzenes144
- Ch. 19 - More About Amines • Reactions of Heterocyclic Compounds49
- Ch. 20 - The Organic Chemistry of Carbohydrates80
- Ch. 21 - Amino Acids, Peptides, and Proteins57
- Ch. 22 - Catalysis in Organic Reactions and in Enzymatic Reactions35
- Ch. 23 - The Organic Chemistry of the Coenzymes—Compounds Derived from Vitamins1
- Ch. 28 - Pericyclic Reactions58
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Bruice 8th EditionCh. 3 - An Introduction to Organic Compounds:Nomenclature, Physical Properties, and StructureProblem 46
Bruice 8th EditionCh. 3 - An Introduction to Organic Compounds:Nomenclature, Physical Properties, and StructureProblem 46Chapter 4, Problem 46
Using the data in Table 3.9, calculate the percentage of molecules of cyclohexanol that have the OH group in an equatorial position at 25 °C.
Verified step by step guidance1
Step 1: Understand the equilibrium constant (K_eq). The equilibrium constant (K_eq = 2.2 at 25 °C) provided in the image represents the ratio of the concentration of cyclohexanol molecules with the OH group in the equatorial position to those with the OH group in the axial position.
Step 2: Write the expression for K_eq. The equilibrium constant is defined as K_eq = [Equatorial]/[Axial], where [Equatorial] and [Axial] are the concentrations of cyclohexanol molecules with the OH group in the equatorial and axial positions, respectively.
Step 3: Use the relationship between the total number of molecules and the concentrations. The total number of molecules is the sum of the molecules in the equatorial and axial positions: Total = [Equatorial] + [Axial].
Step 4: Solve for the fraction of molecules in the equatorial position. The fraction of molecules in the equatorial position is given by [Equatorial]/Total. Substitute the expression for Total and K_eq into this fraction to calculate the percentage.
Step 5: Convert the fraction to a percentage. Multiply the fraction obtained in Step 4 by 100 to express the result as a percentage of molecules with the OH group in the equatorial position.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Conformational Analysis
Conformational analysis involves studying the different spatial arrangements of a molecule that can be interconverted by rotation around single bonds. In cyclohexanol, the molecule can adopt various conformations, primarily axial and equatorial positions for the hydroxyl (OH) group. Understanding these conformations is crucial for predicting the stability and reactivity of the molecule.
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Understanding what a conformer is.
Equilibrium Constant (K_eq)
The equilibrium constant (K_eq) quantifies the ratio of the concentrations of products to reactants at equilibrium for a reversible reaction. In the context of cyclohexanol, K_eq = 2.2 indicates that at 25 °C, the equatorial conformation is favored over the axial conformation. This value helps in calculating the percentage of molecules in each conformation based on their relative stabilities.
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02:19The relationship between equilibrium constant and pKa.
Percentage Calculation
Calculating the percentage of molecules in a specific conformation involves using the equilibrium constant to determine the ratio of equatorial to axial conformers. The formula involves converting K_eq into a fraction that represents the proportion of equatorial conformers, which can then be expressed as a percentage. This calculation is essential for understanding the distribution of conformations in a sample of cyclohexanol.
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03:23How to solve for the percentage of each enantiomer.
Related Practice
Textbook Question
Is each of the following a cis isomer or a trans isomer?
a,
b.
c.
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Textbook Question
Verify the strain energy shown in Table 3.8 for cycloheptane
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Textbook Question
The chair conformer of fluorocyclohexane is 0.25 kcal/mol more stable when the fluoro substituent is in an equatorial position than when it is in an axial position. How much more stable is the anti conformer than a gauche conformer of 1-fluoropropane, considering rotation about the C1−C2 bond?
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Textbook Question
The bond angles in a regular polygon with n sides are equal to 180° - 360°/n
a. What are the bond angles in a regular octagon?
b. What are the bond angles in a regular nonagon?
1906
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Textbook Question
Is each of the following a cis isomer or a trans isomer?
d.
e.
f.
1083
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