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CHEM 2A – FINAL EXAM 1

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<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

First letter of your last name<br />

NAME:___________________________<br />

PERM#____________________<br />

INSTRUCTIONS: Fill in your name, perm number and first initial of your last name above. Be sure to<br />

show all of your work for full credit. Use the back of the page if necessary.<br />

Useful information (periodic table, equations, constants etc..) is at the end of the test packet. You may<br />

tear them off for easy reference.<br />

1


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

SCORE: ________ 200 pts possible<br />

PART I <strong>–</strong> SHORT RESPONSE / MULTIPLE CHOICE<br />

1. (12 pts) Consider the following generalized reaction and answer the following<br />

questions.<br />

forward<br />

( g )<br />

2<br />

( g) 2<br />

reverse ( l)<br />

A + B C<br />

A) When the above system is at equilibrium which of the following statements is true<br />

concerning the reaction rates<br />

a) The forward rate of reaction is faster than the reverse rate of reaction<br />

b) The reverse rate of reaction is faster than the forward rate of reaction<br />

c) The forward rate of reaction is equal to the reverse rate of reaction<br />

d) There is not enough information to answer the question<br />

B) If additional component B is added to the system at equilibrium which of the<br />

following statements is true regarding the reaction quotient Q before equilibrium is<br />

reestablished<br />

a) The value of Q is greater then K<br />

b) The value of Q is less than K<br />

c) The value of Q is the same as K<br />

c) There is not enough information to answer the question<br />

C) If the pressure of the system is decreased by increasing the volume of the container<br />

which of the following statements is true<br />

a) The reaction shifts to the right<br />

b) The reaction shifts to the left<br />

c) There is no change<br />

d) There is not enough information to answer the question<br />

2. (10 pts) Write the molecular formulas for the following compounds<br />

A) Sodium acetate ___________________<br />

B) Potassium dihydrogen phosphate ___________________<br />

C) Ammonium sulfate ___________________<br />

D) Ferric oxide ___________________<br />

E) Zinc sulfide ___________________<br />

2


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

3. (10 pts) Will the following solutions be acidic, basic or neutral<br />

A) 0.10 M ammonium chloride _________________<br />

B) 0.05 M calcium bromide _________________<br />

C) 0.32 M citric Acid _________________<br />

D) 0.87 M pyridine _________________<br />

E) 0.1 M sodium acetate, 0.1 M acetic acid _________________<br />

4. (6 pts) The sodium salt of a weak acid, NaA, is dissolved in water. No other substance<br />

is added. Which of the following statements is true<br />

A) [H + ] = [A - ]<br />

B) [H + ] = [OH - ]<br />

C) [OH - ] = [A - ]<br />

D) [HA] = [OH - ]<br />

E) none of the above<br />

5. (6 pts) Which of the following is true. The value of the equilibrium constant, K, is<br />

dependent on<br />

I. The temperature of the system<br />

II. The nature of the reactants and products<br />

III. The concentration of reactants<br />

IV. The concentration of products<br />

A) I and II<br />

B) III and IV<br />

C) II and III<br />

D) II, III and IV<br />

E) None of the above<br />

3


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

6. (6 pts) Which of the following solutions would be the best system if a buffer near pH<br />

3.7 was desired<br />

A) 0.1 M acetic acid, 0.1 M acetate<br />

B) 0.1 M benzoic acid, 0.1 M benzoate<br />

C) 0.1 M formic acid, 0.1 M formate<br />

D) 0.1 M hydrofluoric acid, 0.1 M fluoride<br />

E) 0.1 M nitrous acid, 0.1 M nitrite<br />

7. (8 pts) Write each answer with the correct number of significant figures<br />

A) 1.021 + 2.69 =<br />

B) 12.3 - 1.63 =<br />

C) 4.34 × 9.2 =<br />

D) 0.0602 ÷ (2.113 × 10 -4 ) =<br />

PART II <strong>–</strong> CALCULATIONS<br />

8. (12 pts) A 1.621 gram sample of an unknown organic compound containing C,H and O<br />

only was combusted in the presence of an excess of oxygen gas. Analysis of the products<br />

revealed that 1.902 grams of water and 3.095 grams of carbon dioxide were produced.<br />

What is the empirical formula of the compound<br />

4


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

9. (10 pts) Calculate the volume of carbon dioxide at 25 o C and 1 atm needed for a plant<br />

to photosynthesize 1.0 gram of glucose, C 6 H 12 O 6 , by the following reaction:<br />

6CO + 6H O → C H O + 6O g<br />

2( g ) 2 ( l) 6 12 6( s) 2( )<br />

10. (12 pts) Balance the following redox reaction of oxalic acid and permanganate ion in<br />

acidic solution.<br />

HCO + MnO → CO + Mn<br />

− 2+<br />

2 2 4( aq) 4( aq) 2( g ) ( aq)<br />

5


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

11. (16 pts) Nitrogen gas, N 2 reacts with hydrogen gas, H 2 to form ammonia gas, NH 3 in<br />

the presence of a proper catalyst. The following apparatus is constructed in a lab with<br />

room temperature of 23 o C.<br />

Flask A contains 1.25 L of nitrogen gas at a pressure of 1.1 atm. Flask B contains 3.5 L<br />

of hydrogen at a pressure of 0.75 atm.<br />

A) Write the balanced chemical equation for the reaction of hydrogen and nitrogen to<br />

form ammonia.<br />

B) Calculate the total pressure in the apparatus when the stopcock is opened and before<br />

any reaction occurs (assume the stopcock has no volume).<br />

C) How many moles of ammonia are formed<br />

D) Calculate the partial pressures of all the gasses remaining after the reaction has gone<br />

to completion.<br />

6


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

12. (12 pts) Calcium carbide, CaC 2 , reacts with water to form calcium hydroxide and the<br />

flammable gas acetylene, C 2 H 2 . This reaction was once used for lamps on bicycles and<br />

miner’s hats because the reactants are easy to transport. The chemical equation is:<br />

CaC + 2 H O → Ca( OH ) + C H<br />

g<br />

2( s) 2 ( l) 2( aq) 2 2( )<br />

A) What is the limiting reagent if 100 grams of water are reacted with 100 grams of<br />

calcium carbide<br />

B) What mass of acetylene is produced<br />

C) What mass of the excess reactant remains after the reaction is complete<br />

13. (10 pts) Mass spectrometry analysis of copper metal reveals that 69.09% of the<br />

sample is 63 Cu (62.93 amu/atom) the only other isotope in this sample was 65 Cu. Using<br />

the atomic mass of copper (63.55 g/mole) determine the mass of 65 Cu in amu.<br />

Note: 1 gram = 6.022 × 10 23 amu.<br />

7


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

14. (12pts) Calculate the pH of 50 mL of a 0.10 M HF solution that has been titrated with<br />

15 mL of 0.25 M KOH.<br />

15. (12 pts)The K sp for PbI 2 in water is 1.4 × 10 -8 . What is the concentration of Pb 2+ in a<br />

saturated solution of PbI 2 <br />

8


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

16. (20 pts) Consider the titration of 50 mL of 0.05 M malonic acid with 0.1 M KOH.<br />

The titration curve is shown below.<br />

A) Label the first and second equivalence points on the plot above<br />

B) How many mL of KOH must be added to result in a solution with a pH of 2.82<br />

C) Calculate the pH of the solution when 45 mL of KOH have been added<br />

9


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

17. (14 pts) Ferric hydroxide, Fe(OH) 3 is minutely soluble in water (K sp = 4 × 10 -38 ).<br />

What is the concentration of Fe 3+ in a pH 5.0 buffer solution that is saturated with<br />

Fe(OH) 3 <br />

18. (12 pts) A 1.4922 ± 0.0002 gram sample of silver ore was digested in acid and the<br />

silver was precipitated as silver chloride, AgCl. The solid silver chloride weighed<br />

0.0892 ± .0002 grams. Calculate the mass percent of silver in the ore. Report your result<br />

with the correct significant figures and absolute error.<br />

10


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

11


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

Equations<br />

x =<br />

∑<br />

[ X ]<br />

i<br />

[ ] + [ ]<br />

f<br />

i<br />

n<br />

f<br />

x<br />

I<br />

X<br />

=<br />

S X I +<br />

i<br />

X<br />

S<br />

s =<br />

∑<br />

i<br />

( x<br />

i<br />

− x)<br />

n −1<br />

[ X] = [ X]<br />

f<br />

[ S] = [ S]<br />

f<br />

i<br />

i<br />

2<br />

( V0<br />

)<br />

( V )<br />

( VS<br />

)<br />

( V )<br />

N<br />

0<br />

μ =<br />

x ±<br />

ts<br />

n<br />

= 6.02214×<br />

10<br />

23<br />

−27<br />

amu = 1.66054×<br />

10 kg<br />

R<br />

R<br />

X S<br />

2 2<br />

= F<br />

e= [ X ] [ S]<br />

( e1) + ( e2) + ( e3)<br />

% % % % ...<br />

2 e= e 2 + e 2 + e 2<br />

...<br />

1 2 3<br />

N<br />

0<br />

= 6.02214×<br />

10<br />

23<br />

−27<br />

amu = 1.66054×<br />

10 kg<br />

PV<br />

= nRT<br />

kB<br />

= 1.38066×<br />

10<br />

JK<br />

−23 −1<br />

R = 0.08206 Latmmol K<br />

R=<br />

8.31451 J mol K<br />

−1 −1<br />

−1 −1<br />

P = P + P + P +⋅⋅⋅<br />

Total<br />

P = χ × P<br />

1 1<br />

1 2 3<br />

aA + bB cC + dD<br />

3RT<br />

2RT<br />

8RT<br />

u = rms<br />

; ump ; uavg<br />

M = M = π M<br />

[ ] c<br />

[ ] d<br />

C D<br />

K =<br />

a b<br />

[ A] [ B]<br />

2<br />

⎡ ⎛ n ⎞ ⎤<br />

⎢Pobs<br />

+ a⎜<br />

⎟ ⎥( V − nb)<br />

= nR<br />

⎢⎣<br />

⎝V<br />

⎠ ⎥⎦<br />

Total<br />

pH + pOH = pK<br />

w<br />

T<br />

14<br />

Kw<br />

= [ H + ][ OH<br />

− ] = 1×<br />

10<br />

−<br />

Kp<br />

n<br />

χ<br />

1<br />

=<br />

n<br />

1<br />

Total<br />

= K( RT) Δn<br />

pK + pK = pK<br />

a b w<br />

( conjugate pairs)<br />

1 torr = 1 mmHg 760 mm Hg = 1 atm<br />

12


<strong>CHEM</strong> <strong>2A</strong> <strong>–</strong> <strong>FINAL</strong> <strong>EXAM</strong><br />

Acid Dissociation Constants (25 o C)<br />

Name Formula K a1 K a2 K a3<br />

Acetic HC 2 H 3 O 2 1.8 × 10 -5<br />

Ammonium ion<br />

+<br />

NH 4 5.6 × 10 -10<br />

Arsenic H 3 AsO 4 5.6 × 10 -3 1.0 × 10 -7 3.9 × 10 -12<br />

Ascorbic HC 6 H 7 O 6 8.0 × 10 -5 1.6 × 10 -12<br />

Benzoic HC 7 H 5 O 2 6.5 × 10 -5<br />

Boric H 3 BO 3 5.8 × 10 -10<br />

Carbonic H 2 CO 3 4.3 × 10 -7 4.8 × 10 -11<br />

Chloroacetic HC 2 H 2 O 2 Cl 1.4 × 10 -3<br />

Citric H 3 C 6 H 5 O 7 7.4 × 10 -4 1.7 × 10 -5 4.1 × 10 -7<br />

Formic HCHO 2 1.8 × 10 -4<br />

Hydrocyanic HCN 4.9 × 10 -10<br />

Hydrofluoric HF 7.2 × 10 -4<br />

Hydrogen selenate ion<br />

-<br />

HSeO 4 2.2 × 10 -2<br />

Hydrogen sulfide H 2 S 9.1 × 10 -8 1.1 × 10 -12<br />

Hypobromous HBrO 2.1 × 10 -9<br />

Hypochlorous HClO 3.0 × 10 -8<br />

Hypoiodous HIO 2.3 × 10 -11<br />

Iodic HIO 3 1.7 × 10 -1<br />

Lactic HC 3 H 5 O 3 1.4 × 10 -4<br />

Malonic H 2 C 3 H 2 O 4 1.5 × 10 -3 2.0 × 10 -6<br />

Nitrous HNO 2 4.5 × 10 -4<br />

Oxalic H 2 C 2 O 4 5.9 × 10 -2 6.4 × 10 -5<br />

Phenol HC 6 H 5 O 1.3 × 10 -10<br />

Phosphoric H 3 PO 4 7.5 × 10 -3 6.2 × 10 -8 4.2 × 10 -13<br />

Propionic HC 3 H 5 O 2 1.3 × 10 -5<br />

Pyrophosphoric H 4 P 2 O 7 3.0 × 10 -2 4.4 × 10 -3<br />

Selenous H 2 SeO 3 2.3 × 10 -3 5.3 × 10 -9<br />

Sulfuric H 2 SO 4 Strong Acid 1.2 × 10 -2<br />

Sulfurous H 2 SO 3 1.7 × 10 -2 6.4 × 10 -8<br />

Tartaric H 2 C 4 H 4 O 6 1.0 × 10 -3 4.6 × 10 -5<br />

Base Dissociation Constants (25 o C)<br />

Name Formula K b<br />

Ammonia NH 3 1.8 × 10 -5<br />

Aniline C 6 H 5 NH 2 4.3 × 10 -10<br />

Dimethlyamine (CH 3 ) 2 NH 5.4 × 10 -4<br />

Ethylamine C 2 H 5 NH 2 6.4 × 10 -4<br />

Hydrazine H 2 NNH 2 1.3 × 10 -6<br />

Hydroxylamine HONH 2 1.1 × 10 -8<br />

Methylamine CH 3 NH 2 4.4 × 10 -4<br />

Pyridine C 5 H 5 N 1.7 × 10 -9<br />

Trimethylamine (CH 3 )CN 6.4 × 10 -5 13

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