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CHEM 331 Problem Set #3: Substitutent Effects and LFERs, Lecture notes of Organic Chemistry

The pKa values of m- and p-monosubstituted benzoic acids in 50% aqueous ethanol correlate with σ, and have a ρ value of 1.60. The pKa of benzoic acid in this ...

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CHEM 331
Problem Set #3: Substitutent Effects and LFERs
1. a) Interpret the following σ values in terms of the electronic character of each group. Discuss the inductive
and resonance effects of each (σI and σR) using benzoic acid derivatives as examples, showing resonance
where appropriate. Substituent σmeta σ
p
ara
-OH 0.13 -0.38
-COCH3 0.38 0.50
-S(CH3)2
+ 1.0 0.90
b) The picryl (2,4,6-trinitrophenyl) substituent, C6H2(NO2)3 has values of σmeta 0.43, σpara 0.41. What
conclusion may be drawn regarding the resonance effect of this substituent and the configuration of the two
aromatic rings in 4-(2,4,6-trinitrophenyl)benzoic acid?
2. The pKa’s and reaction constants (susceptibility factors) ρ for the acid dissociation of substituted 1-
naphthylamines and quinolines are given below.
a) Explain why the quinoline is much more susceptible to electronic substituent effects than 1-
naphthylamine.
b) Predict the fraction of each compound present in the protonated form at pH = 6.00
NH2
X
N
X
1-naphthylamine quinoline
pKa = 3.85 pKa = 4.88
ρ = 2.81 ρ = 5.90
3. a) Estimate the pKa values of 4-methyl-2,5-dinitrophenol and 3,4,5-trimethylaniline using the data given in
Tables 1 and 2 (attached) at 25oC.
b) The structure of the herbicide sulcotrion is shown below and is found to have a pKa of 3.13. Identify the
acidic proton and explain the unusual acidity. Sketch a labeled plot of fractional abundance of the acid and
basic forms over a pH range of 2 – 12.
SO
O
ClOO
O
sulcotrion
4. The pKa values of m- and p-monosubstituted benzoic acids in 50% aqueous ethanol correlate with σ, and
have a ρ value of 1.60. The pKa of benzoic acid in this system is 5.71.The pKa values of some 4-X-3,5-
dimethylbenzoic acids in this medium are shown below. Use these results to examine and comment on the
applicability of additivity of σ values.
X N(CH3)2 NH2 Cl Br CN COOCH3NO2
pKa 6.23 6.88 5.59 5.55 4.90 5.44 4.91
PS 3 2010
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CHEM 331

Problem Set #3: Substitutent Effects and LFERs

1. a) Interpret the following σ values in terms of the electronic character of each group. Discuss the inductive

and resonance effects of each (σI and σR) using benzoic acid derivatives as examples, showing resonance where appropriate. Substituent (^) σ meta σ para -OH 0.13 -0. -COCH 3 0.38 0. -S(CH 3 ) 2 +^ 1.0 0.

b) The picryl (2,4,6-trinitrophenyl) substituent, C 6 H 2 (NO 2 ) 3 has values of σmeta 0.43, σpara 0.41. What conclusion may be drawn regarding the resonance effect of this substituent and the configuration of the two aromatic rings in 4-(2,4,6-trinitrophenyl)benzoic acid?

2. The pK (^) a ’s and reaction constants (susceptibility factors) ρ for the acid dissociation of substituted 1- naphthylamines and quinolines are given below. a) Explain why the quinoline is much more susceptible to electronic substituent effects than 1- naphthylamine. b) Predict the fraction of each compound present in the protonated form at pH = 6.

NH 2

X

N

X 1-naphthylamine quinoline pKa = 3.85 pKa = 4. ρ = 2.81 ρ = 5.

3. a) Estimate the pKa values of 4-methyl-2,5-dinitrophenol and 3,4,5-trimethylaniline using the data given in Tables 1 and 2 (attached) at 25o^ C.

b) The structure of the herbicide sulcotrion is shown below and is found to have a pKa of 3.13. Identify the acidic proton and explain the unusual acidity. Sketch a labeled plot of fractional abundance of the acid and basic forms over a pH range of 2 – 12.

S

O

O

O O Cl

O sulcotrion

4. The pKa values of m- and p-monosubstituted benzoic acids in 50% aqueous ethanol correlate with σ, and have a ρ value of 1.60. The pK (^) a of benzoic acid in this system is 5.71.The pKa values of some 4-X-3,5- dimethylbenzoic acids in this medium are shown below. Use these results to examine and comment on the applicability of additivity of σ values.

X N(CH 3 ) 2 NH 2 Cl Br CN COOCH 3 NO 2 pKa 6.23 6.88 5.59 5.55 4.90 5.44 4.

5. The relative rates of alkaline hydrolysis of substituted benzamides in water at 100°C are as follows below. Demonstrate the applicability of the Hammett equation to this reaction, calculate the ρ value, and comment on any deviations from the correlation.

Substituent Relative Rate

Substituent Relative Rate

Substituent Relative Rate m -I 2.60 m -NO 2 5.60 p -OCH 3 0. p -I 1.69 H 1.00 m -NH 2 0. m -Br 2.97 m -CH 3 0.83 p -NH 2 0. p -Br 1.91 p -CH 3 0.65 m -OH 0.

6. The solvolysis of substituted diphenylcarbinyl chlorides was studied in ethanol at 25°C. A plot of log k versus σ+^ , displayed a linear correlation with a slope of −5.1. Suggest a mechanism that is consistent with this observation and provide an explanation of the sign and magnitude of the ρ value. Cl OEt

EtOH

  • HCl X X

7. a) The hydrolysis of a series of ethyl benzoates by hydroxide ion in 85% aqueous ethanol has been investigated. A Hammett plot of the second order rate constants ( k B) gave a reaction constant ρ = 2.56. Calculate how much faster ethyl 4-nitrobenzoate will undergo base catalyzed hydrolysis compared to ethyl benzoate under similar conditions.

O

O

O

O

X^ O^2 N

b) The base catalyzed hydrolysis of phenyl N-phenyl carbamates occurs by the elimination of PhO-^ group as the rate determining step. Estimate the second order rate constant, k B for 3,4,5-trichlorophenyl N-phenyl carbamate at 25o^ C using the k B values given in the Table below for other substituted phenyl N-phenyl carbamates and the Hammett relation. N

H

O

O OH-

NH 2 CO (^2)

-O

X X

kB

i B

B k H

k X =ρΣ σ ⎭

( )

( ) log

X k B (M -1^ s-1^ ) X k B (M -1^ s-1^ ) p -CH 3 3.0 x 10^1 m -Cl 1.8 x 10^3 p -OCH 3 2.5 x 10^1 m -NO 2 1.3 x 10^4 p -Cl 4.2 x 10^2 p -NO 2 2.7 x 10^5