Bookmarks People Window Help courses/69086/quizzes/81233/take O D Question 32 1

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Bookmarks People Window Help courses/69086/quizzes/81233/take O D Question 32 1 pts A substituted cyclohexane has an axial form that is 1.29 kcal/mol higher in energy than the equatorial form. Given this information, what fraction of the molecules (expressed as a percent to the nearest ones) are in the equatorial form at any instant in a sample of this substituted cyclohexane that is at equilibrium? Assume the temperature is 25 C, and assume that only the axial and equatorial forms are possible. Question 33 1 pts A scientist proposes a nucleophilic substitution reaction in which the reactant, anion nucleophile has a pKabH of -8.4 and the product anion (which

Explanation / Answer

32.

axial isomer is 1.29 kcal/mol higher in energy than equatorial form

dG = -RTlnK

or,

K = e^(-dG/RT)

with,

dG = 1.29 kcal/mol

R = gas constant

T = 25 oC + 273 = 298 K

So,

K = e^(-1.29/0.001987 x 298) = 0.113

So,

% axial isomer = 0.113 x 100/1.113 = 10.15%

% equatorial isomer at equilibrium = 100 - 10.15 = 89.85%

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