ollowing are the alternative chair conformations for trans-2-methylcyclohexanamine: NH₂ Group C=N Br CH3 B Using the data for AG for monosubstituted cyclohexanes at room temperature (25°C) and the representative value for the gauche interaction of two equatorially positioned substituents in the 1,2-position: OH axial AG (kJ/mol) -0.8 -2.4 CH3 -3.9 -NH₂ equatorial Group NH₂ CH3 1,2-gauche AG (kJ/mol) -5.9 -7.3 3.8 a) Calculate the difference in the Gibbs free energy between the second and first conformation including the algebraic sign. b) Given your value in (a), calculate the percent of the chair, indicated as B, presented in an equilibrium mixture of the conformers at 25°C. *The actual value will depend on the substituents. The values of the gas constant and the temperature for 25°C are 8.314 JK mol¹ and 298 K respectively. kJ/mol %

Organic Chemistry
8th Edition
ISBN:9781305580350
Author:William H. Brown, Brent L. Iverson, Eric Anslyn, Christopher S. Foote
Publisher:William H. Brown, Brent L. Iverson, Eric Anslyn, Christopher S. Foote
Chapter2: Alkanes And Cycloalkanes
Section: Chapter Questions
Problem 2.45P: Gibbs free energy differences between axial-substituted and equatorial-substituted chair...
Question
Following are the alternative chair conformations for trans-2-methylcyclohexanamine:
NH₂
Group
C=N
Br
OH
CH3
B
Using the data for AG for monosubstituted cyclohexanes at room temperature (25°C) and the representative value for the gauche interaction of two equatorially
positioned substituents in the 1,2-position:
CH3
Submit Answer
-NH₂
AG (kJ/mol)
-0.8
-2.4
-3.9
axial → equatorial
Group
NH₂
CH3
1,2-gauche
AG (kJ/mol)
-5.9
a) Calculate the difference in the Gibbs free energy between the second and first conformation including the algebraic sign.
b) Given your value in (a), calculate the percent of the chair, indicated as B, presented in an equilibrium mixture of the conformers at 25°C.
*The actual value will depend on the substituents.
The values of the gas constant and the temperature for 25°C are 8.314 JK 'mol and 298 K respectively.
Try Another Version 2 item attempts remaining
-7.3
3.8
kJ/mol
%
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Transcribed Image Text:Following are the alternative chair conformations for trans-2-methylcyclohexanamine: NH₂ Group C=N Br OH CH3 B Using the data for AG for monosubstituted cyclohexanes at room temperature (25°C) and the representative value for the gauche interaction of two equatorially positioned substituents in the 1,2-position: CH3 Submit Answer -NH₂ AG (kJ/mol) -0.8 -2.4 -3.9 axial → equatorial Group NH₂ CH3 1,2-gauche AG (kJ/mol) -5.9 a) Calculate the difference in the Gibbs free energy between the second and first conformation including the algebraic sign. b) Given your value in (a), calculate the percent of the chair, indicated as B, presented in an equilibrium mixture of the conformers at 25°C. *The actual value will depend on the substituents. The values of the gas constant and the temperature for 25°C are 8.314 JK 'mol and 298 K respectively. Try Another Version 2 item attempts remaining -7.3 3.8 kJ/mol % Previous Next
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