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14CL Final Practice Key

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Chemistry <strong>14CL</strong><br />

<strong>Final</strong> Exam <strong>Practice</strong> -- <strong>Key</strong><br />

1. The stoichiometric equation for the aldol condensation of benzaldehyde with acetone<br />

is given below.<br />

O<br />

2<br />

H +<br />

O NaOH/H2O C2H5OH MW: 102g/mol 58g/mol 234g/mol<br />

(a) If a reaction of 1.00 mL of benzaldehyde (density = 1.0415 g/mL) is reacted with<br />

0.360 mL of acetone (density =0.7899 g/mL), what is the theoretical yield (in grams)<br />

of product?<br />

1.0415 g<br />

102 g/mol = 1.02 X 10−2 mol benzaldehyde, which will give 5.1 X 10 -3 mol product<br />

0.360 mL X 0.7899 g/mL<br />

58 g/mol<br />

= 4.9 X 10 −3 mol acetone<br />

Since two moles of benzaldehyde are required for each mole of product, acetone is<br />

the limiting reagent and the theoretical yield is (4.9 X 10 -3 mol) (234 g/moL) = 1.15 g<br />

(b) If the actual experimental yield for the reaction was 89%, how many mL of acetone<br />

would be required to produce 4.00 grams of product?<br />

If the yield were 89% then in the previous example, 0.360 mL of acetone would give<br />

(1.15 g) (0.89) = 1.02 g of product.<br />

1.02 g product<br />

0.360 mL<br />

X = 1.41 mL<br />

= 4.00 g product<br />

X mL<br />

O


2. The chromium oxidation of compound I below yields a mixture of products (II – V).<br />

Identify the order of elution that would occur if you used an alumina stationary phase<br />

with diethyl ether to separate the mixture of products (II, III, IV, V) by column<br />

chromatography. (Assume there is no starting material in the products.)<br />

Starting material<br />

Products:<br />

O<br />

C 6H 5-C-C(CH 3) 3<br />

OH<br />

C 6 H 5 -CH-C(CH 3 ) 3<br />

I<br />

CH 3<br />

CH 3-C-OH<br />

CH 3<br />

C 6H 5C<br />

O<br />

H<br />

C 6H 5C<br />

II III IV V<br />

First eluted ______ II _______<br />

Reason: The ketone is the least polar of the oxygen functional groups; in addition<br />

there are two nonpolar hydrocarbon group—an alkyl and an aryl group.<br />

Second eluted ____IV_______<br />

Reason: The aldehyde is slightly more polar than the ketone and this compound<br />

has only one hydrocarbon group—a polarizable aryl group.<br />

Third eluted _____III________<br />

Reason: The alcohol is more polar than the aldehyde or ketone; there is only one<br />

alkyl group.<br />

Fourth eluted ________V___________<br />

Reason: The two oxygens of the acid group make this the most polar compound<br />

of the set. In addition the one hydrocarbon group is a polarizable aryl group.<br />

O<br />

OH<br />

2


3. The molecular structure and the UV spectrum of caffeine are given below.<br />

(a) If the solution used for the spectrum had a concentration of 1mg/40mL of water, what<br />

is the molar extinction coefficient of caffeine at 275nm? (Assume a 1cm diameter<br />

UV cell).<br />

H3C N<br />

C<br />

O<br />

O<br />

C<br />

N<br />

CH3 Molecular formula: C8H10N4O2 (determined from the structure)<br />

Molecular weight = 194 g/mol<br />

Concentration of solution =<br />

A = εbc<br />

C<br />

C<br />

1 mg<br />

40 mL •<br />

CH3 N<br />

N<br />

1mol<br />

CH<br />

194 g/mol = 1.29 X 10−4 M<br />

0.84 = ε(1 cm)(1.29 X 10 -4 M)<br />

ε = 6512 M -1 cm -1<br />

(b) Briefly indicate what feature(s) of caffeine give(s) rise to the UV spectrum.<br />

This absorption is due to a π – π* transition of the chromophore of the<br />

conjugated diene and ketone with auxochromes in the adjacent nitrogen atoms.<br />

3


100<br />

50<br />

120<br />

110<br />

100<br />

0<br />

120<br />

110<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

4. The 13 C spectrum of caffeine is given below. The signals for each carbon have been<br />

identified and numbered. Draw the DEPT 90 and DEPT 135 caffeine spectra on the<br />

charts below the 13 C spectrum.<br />

156.31(3)<br />

159.24(2)<br />

155.86(4)<br />

142.33(5)<br />

104.08(1)<br />

29.45(8)<br />

32.84(6)<br />

27.90(7)<br />

170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20<br />

Only<br />

one CH<br />

H3C 7<br />

DEPT 90<br />

170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20<br />

DEPT 135<br />

170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20<br />

O<br />

One CH and<br />

3 CH3’s<br />

N<br />

3<br />

O<br />

4<br />

N<br />

CH 3<br />

8<br />

1<br />

2<br />

CH3 6<br />

N<br />

N<br />

5<br />

4


5. (a) The infra red spectrum of caffeine is given below. Identify the functional group or<br />

groups that give rise to the absorption(s) at the specified wavelengths and the type of<br />

vibrations involved.<br />

(i) 2960 cm -1 __________C-H stretch________________<br />

(ii) 1740cm -1 or 1692 cm -1 ___________C=O stretch_______________<br />

(iii) 1240 cm -1 ____C-C or C-N stretches_______________<br />

5


5. (b) The mass spectrum of caffeine is given below. Identify the species that give rise to<br />

the m/z signals at<br />

(i) 194 ___________molecular ion___________________<br />

(ii) 109 Fragmentation occurs next to a carbonyl groups. In this case the<br />

compound breaks on either side of the carbonyl carbons leaving the five-membered<br />

ring and one nitrogen with a methyl group (C8 in the NMR problem) attached<br />

(iii) 15 _______________methyl__________________________<br />

6. A buffer solution is 0.100 M in NaOAc and 0.200 M in HOAc. To 1.00L of this<br />

buffer, 25.0 mL of 0.500 M NaOH is added. Calculate the change in pH that occurs.<br />

Ka of acetic acid = 1.8 X 10 -5<br />

Original buffer: 1.8 X 10 −5 = [H+ ](0.1)<br />

(0.2)<br />

[H + ] = 3.6 X 10 -5 pH = 4.44<br />

Moles of base added = (0.500M)(0.025L) = 0.0125 mol<br />

After addition of base:<br />

[H+] [OAc-] [HOAc]<br />

moles x 0.1 + 0.0125 mol 0.200-0.0125 mol<br />

=0.1125 =0.1875<br />

molarities X 0.1125mol/1.025L 0.1875mol/1.025L<br />

[H + ] = (1.8 X 10−5 )(0.1875)<br />

(0.1125)<br />

= 3.0X10 −5<br />

pH = 4.53 pH change = 0.09<br />

6


7. The internal pH of a muscle cell is 6.8. Calculate the [H2PO4 - ]/[HPO4 2- ] ratio in the<br />

cell. The second dissociation constant of phosphoric acid is 6.31 x 10 -8 .<br />

[H2PO4 - ]/[HPO4 2- ] = [H + ]/Ka = 1.58 x 10 -7 /6.31 x 10 -8 = 2.5/1 = 2.5<br />

8. (a) Hexane (bp = 68 o C) and octane (bp = 125 o C ) form an ideal solution. Draw the<br />

liquid-vapor phase diagram for this system. Label the axes and the phases in each area.<br />

Indicate the temperature at which a 60% octane solution will begin to boil. What is the<br />

composition of the vapor in equilibrium with the solution? What is the composition of<br />

the distillate if there are two theoretical plates in the distillation apparatus?<br />

140<br />

T<br />

E<br />

M<br />

P<br />

E 120<br />

R<br />

A<br />

T<br />

U<br />

100<br />

R<br />

E<br />

O C<br />

80<br />

60<br />

solution<br />

0 0.2 0.4 0.6 0.8 1.0<br />

MOLE FRACTION OF HEXANE<br />

vapor<br />

Initial boiling point<br />

Vapor ~65%hexane<br />

Temp ~ 95 o C<br />

Distillate after two<br />

theoretical plates<br />

~79% hexane<br />

7


(b) Sketch the gas chromatograms that would result if the original mixture and the<br />

distillate were separated by gas chromatography on a non polar column.<br />

Areas 40 60<br />

Original mixture<br />

Distillate<br />

Injection time hexane octane time<br />

Areas 79 21<br />

Injection time hexane octane time<br />

9. The pKa’s for valine are 2.3 and 9.6.<br />

(a) What is the pI (the isoelectronic point pH) for valine?<br />

The isoelectronic point for this amino acid is the average of the pK’s that is, 5.95 ~6<br />

(b) What species are present at pH 7 and in what proportion?<br />

A pH of 7 is sufficiently higher than the isolectronic point that the only two species<br />

present are the zwitterion (major component) and the anion (minor component).<br />

The ratio is 400/1<br />

10. Based on their molecular structures, explain why vitamin C is water soluble and<br />

vitamin A is lipid soluble.<br />

Vitamin C (C5H7O6) has four alcohol groups, and a carbonyl. This many polar<br />

groups with few carbon atoms make the molecule very polar and soluble in water.<br />

Vitamin A (C18H30O)) has only one alcohol group and 18 carbon atoms. The nonpolar<br />

portion of the molecule is too large to be pulled into an aqueous solution by<br />

one OH group.<br />

8

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