Unit 4 Exam-solutions

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Unit 4 Exam Solutions CH 301

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  • Version 181 Unit 4 Exam vandenbout (51335) 1

    This print-out should have 20 questions.Multiple-choice questions may continue onthe next column or page find all choicesbefore answering.

    vandenbout/labrake - ch301

    EXAM49:30 am class only - 51335

    7-9pm Dec 5, 2012

    Thermodynamic Data at 25C

    Hf G

    f S

    Substance kJ/mol kJ/mol J/mol K

    Al (s) 28.33Al2O3 (s) -1675.7 -1582.4 50.92H2O (`) -286 -237 70H2O (g) -242 -229 189CO (g) -111 -137 198CO2 (g) -394 -395 214CH4 (g) -75 -51 186C3H8 (g) -104 -24 270C6H12O2 (`) -555 C12H22O11 (s) -2222 -1545 360O2 (g) 205.1Fe2O3 (s) -824.2 -742.2 87.4Fe3O4 (s) -1118.4 1015.4 146.4

    Single Bond Energies (kJ/mol of bonds)H C N O S F Cl

    H 436C 413 346N 391 305 163O 463 358 201 146S 347 272 226F 565 485 283 190 284 155Cl 432 339 192 218 255 253 242

    Multiple Bond Energies (kJ/mol of bonds)C=C 602 C=N 615 C=O 799CC 835 CN 887 CO 1072N=N 418 O=O 498 NN 945

    001 4.0 points

    If the change in internal energy for a givenprocess is zero, which of the following must betrue?

    1. q = -w correct

    2. w = 0

    3. E = H

    4. q = 0

    Explanation:

    E = q + w = 0q = -w

    002 4.0 points

    Carbon monoxide reacts with oxygen to formcarbon dioxide by the following reaction:

    2CO(g) + O2(g) 2CO2(g)

    H for this reaction is 135.28 kcal.If 811.7 kcal is released, how many moles of

    CO must have reacted?

    1. 12.0 mol correct

    2. 16.3 mol

    3. 6.00 mol

    4. 270.5 mol

    5. 1.35 mol

    6. 40.5 mol

    7. 5.41 mol

    Explanation:

    H = 135.28 kcal q = - 811.7 kcal( 1 mol rxn135.28 kcal

    )(2 mol CO1 mol rxn

    )

    (811.7kcal) = 12 mol CO

    so 12 mol CO were reacted.

    003 4.0 points

    At constant temperature and pressure, how isSuniv related to Gsys?

  • Version 181 Unit 4 Exam vandenbout (51335) 2

    1. Gsys = Suniv

    2. Gsys = T Suniv correct

    3. Gsys = Suniv

    4. Gsys = T Suniv

    5. Gsys = SunivT

    6. Gsys =SunivT

    Explanation:

    004 4.0 points

    A 22.9 g sample of metal X requires136 calories of energy to heat it from 10.0Cto 81.0C. Calculate the specific heat of metalX.1. 0.26152. 0.213. 0.25484. 0.20385. 0.35626. 0.39027. 0.30818. 0.21879. 0.3510. 0.2733

    Correct answer: 0.35 J/g C.

    Explanation:

    005 4.0 points

    Chlorine monofluoride (ClF) will react withcarbon monoxide (CO) to give carbonyl chlo-rofluoride (COClF):

    ClF + CO COClF

    Use bond energies (provided elsewhere) toestimate the change in enthalpy (H) forthis reaction.

    1. -298 kJ/mol correct

    2. -571 kJ/mol

    3. -444 kJ/mol

    4. -376 kJ/mol

    5. -193 kJ/mol

    Explanation:

    ClF + CO ClC=O|F

    Break: ClF and CO253 1072

    Make: C=O and CCl and CF799 339 485

    breaking : +1325 (reactants)making : -1623 (products)

    H = 298 kJ/mol

    006 4.0 points

    What is the change in entropy (Svap)for the vaporization of ethanol (Hvap =

    38.6 kJ mol1) at its standard boiling tem-perature (78.4 C)?

    1. 110 J mol1 K1

    2. 492 J mol1 K1

    3. 492 J mol1 K1

    4. 110 J mol1 K1 correct

    Explanation:

    Svap =HvapT

    =38, 600 J mol1

    351.4 K= 110 J mol1 K1

    007 4.0 points

    Given that fH

    Fe2O3(s)= 826 kJ mol1

    what would you predict for the spontaneityof the following reaction

    2Fe2O3(s) 4Fe(s) + 3O2(g)

    1. there is no way to predict the spontaneityof this reaction

    2. it would be spontaneous only at hightemperatures correct

  • Version 181 Unit 4 Exam vandenbout (51335) 3

    3. it would never be spontaneous

    4. it would be spontaneous at all tempera-tures

    5. it would be spontaneous only at low tem-peratures

    Explanation:

    The reaction as written is the reverse oftwice the formation of Fe2O3. As such thisreaction is extremely endothermic (H >>0). However, the entropy change for thisreaction should be positive as it generatesthree moles of gas. The enthalpy changescause an increase in the free energy, but theentropy change will cause the free energy todecrease. At high temperatures the entropywill dominate and the free energy change willbe negative.

    008 4.0 points

    Which of the following is always true fora spontaneous process at constant temper-ature?

    1. S =q

    T

    2. S > 0

    3. Ssystem + Ssurroundings > 0 correct

    4. S 0).

    009 4.0 points

    Rank the following systems by entropy, fromleast to greatest:a) 1 mol of pure iceb) 1 mol of water with 1 mol of salt dissolved

    in it.

    c) 1 mol of pure water

    1. c < b < a

    2. a < b < c

    3. c < a < b

    4. b < c < a

    5. b < a < c

    6. a < c < b correct

    Explanation:

    Entropy increases as systems go throughendothermic phase transitions and when thereis more matter or more dispersed matterpresent.

    010 4.0 points

    Consider the reaction

    Ni(s) + 4CO(g) Ni(CO)4(g)

    Assuming the gases are ideal, calculate thework done on the system at a constant pres-sure of 1 atm at 75C for the conversion of1.00 mole of Ni to Ni(CO)4.

    1. 2.89 103 J

    2. 5.79 103 J

    3. 1.80 103 J

    4. 1.87 103 J

    5. 1.16 104 J

    6. 8.68 103 J correct

    Explanation:

    T = 75C+ 273 = 348 K nNi = 1 mol

    ni = 1 mol Ni 4 mol CO

    1 mol Ni= 4 mol

    nf = 1 mol Ni 1 mol Ni(CO)4

    1 mol Ni= 1 mol

  • Version 181 Unit 4 Exam vandenbout (51335) 4

    n = (1 4) mol = 3 mol

    w = P V = nRT

    = (3 mol) 8.31451 J

    mol K 348 K

    = 8680.35 J

    011 4.0 points

    Calculate the standard enthalpy of combus-tion (cH) of t-butyl acetate, C6H12O2(`).

    1. -125 kJ/mol

    2. -4080 kJ/mol

    3. -4635 kJ/mol

    4. -3525 kJ/mol correct

    5. -2970 kJ/mol

    6. -4371 kJ/mol

    7. -3261 kJ/mol

    Explanation:

    The balanced equation is:C6H12O2(`) + 8O2(g) 6CO2(g) + 6H2O(`)cH = 6(394) + 6(286) (555)cH = 2364 +1716 + 555cH = 3525

    012 4.0 points

    Calculate the entropy change for the systemwhen 40 g of ethanol are heated from 25C to40C given that the heat capacity for ethanolis 2.44 J g1 K1.

    1. 4.8 J K1 correct

    2. -45.9 J K1

    3. 0.12 J K1

    4. 45.9 J K1

    5. -2.3 J K1

    Explanation:

    The entropy change is S = ClnTfTi

    S =

    (40 * 2.44) ln(313.15/298.15) = 4.8 J K1

    013 4.0 points

    Consider the reaction

    2 SO2(g) + O2(g) 2 SO3(g)

    Which statement is true for this reaction?

    1. S < 0 correct

    2. Sm = 0 for O2(g)

    3. S > 0

    4. S = 0

    Explanation:

    For the reaction 3 mol gas 2 mol gas. Thefewer the moles of gas, the lower the disorder,so S is negative.

    014 4.0 points

    Calculate the standard reaction enthalpy forthe reaction

    NO2(g) NO(g) + O(g)

    Given:O2(g) 2O(g) H

    = +498.4 kJ/molNO(g) + O3(g) NO2(g) + O2(g)

    H = 200 kJ/mol3O2(g) 2O3(g) H

    = +285.4 kJ/mol.

    1. +306 kJ/mol correct

    2. +555 kJ/mol

    3. +192 kJ/mol

    4. +355 kJ/mol

    5. +93.5 kJ/mol

    6. +413 kJ/mol

    7. +592 kJ/mol

    Explanation:

  • Version 181 Unit 4 Exam vandenbout (51335) 5

    O2(g) 2O(g)

    H = +498.4 kJ/mol

    NO(g) + O3(g) NO2(g) + O2(g)

    H = 200 kJ/mol

    The standard formation of ozone is

    3

    2O2(g) O3(g)

    H = +142.7 kJ/mol

    We calculate the Hrxn using Hess Law:To combine the reactions and get the de-

    sired reaction, reverse the second and thirdequations and add half of the first one:

    NO2(g) + O2(g) NO(g) + O3(g)

    H = +200 kJ/mol

    O3(g)3

    2O2(g)

    H = 142.7 kJ/mol1

    2O2(g) O(g)

    H =1

    2(498.4 kJ/mol)

    NO2(g) NO(g) + O(g)

    Hrxn = 306.5 kJ/mol

    015 4.0 points

    What is Suniv for a reaction conducted at100C and for which S is 170 J mol1 K1

    and H is 43.2 kJ mol1.

    1. 262 J mol1 K1

    2. 285.8 J mol1 K1

    3. 602 J mol1 K1

    4. 54.2 J mol1 K1 correct

    Explanation:

    Suniv = Ssys +Ssurr

    = 170 J mol1 K1

    43200 J mol1

    373 K= 54.2 J mol1 K1

    016 4.0 points

    Which of the following reactions as writtencorresponds to a standard formation reaction?

    1. SO2(g) +1

    2O2(g) SO3(g)

    2. 2H (g) + O2(g) H2O2 (`)

    3. Na(s) +1

    2Cl2(g) NaCl(s) correct

    4. 2 H2(g) + O2(g) 2 H2O(`)

    5. CO2(s) CO2(g)

    Explanation:

    All of the reactants in a formation reactionmust be ELEMENTS in their thermochemicalstandard state. AND, to match table values,only 1 MOLE of product can be formed be-cause standard table values are in kJ/mol.Only the NaCl fits this definition. The H2Oreaction unfortunately is forming 2 moles ofwater instead of one.

    017 4.0 points

    The enthalpy of fusion of methanol (CH3OH)is 3.16 kJ/mol. How much heat would beabsorbed or released upon freezing 25.6 gramsof methanol?

    1. 0.253 kJ absorbed

    2. 3.95 kJ absorbed

    3. 2.52 kJ absorbed

    4. 0.253 kJ released

    5. 3.95 kJ released

    6. 2.52 kJ released correct

    Explanation:

    MW CH3OH = 32.042g

    H(fusion) = H(freezing)

  • Version 181 Unit 4 Exam vandenbout (51335) 6

    q = 25.6 g1mol

    32.042g3.16 kJ

    mol= 2.525 kJ

    018 4.0 points

    A sample of 2 grams of compound Y is burnedcompletely in a bomb calorimeter which con-tains 2500 g of water. The temperature risesfrom 25.529C to 25.991C.What is Urxn forthe combustion of compound Y? The hard-ware component of the calorimeter has a heatcapacity of 3.78 kJ/C. The specific heat ofwater is 4.184 J/g C, and the MW of Y is129 g/mol.1. -311.82. -572.33. -503.54. -235.95. -424.36. -213.57. -165.28. -552.39. -269.510. -335.2

    Correct answer: 424.3 kJ/mol of Y.

    Explanation:

    SH = 4.184 J/g C HC = 3.78 kJ/CmY = 2 g MWY = 129 g/molmwater = 2500 gT = 25.991C 25.529C = 0.462C

    Heat = (SH)(mwater)(T ) + (HC)(T ) ,

    Then divide the heat by the number of moleswhich is mass/MW.

    019 4.0 points

    Sodium is a metal that reacts violently withwater. Chlorine is a toxic, choking gas. So itsa really good thing that when you put salt onyour fries (chips) that it doesnt suddenly turninto sodium metal and chlorine gas. Why isthis the case?

    1. The standard enthalpy of formation ofsodium chloride is negative.2. The standard Gibbs free energy of for-

    mation of sodium chloride is negative. COR-RECT

    3. The standard entropy change for theformation of sodium chloride is negative.4. Salt dissolves in the water in your food.5. Salt has a really high melting point.

    Explanation:

    The standard Gibbs free energy of forma-tion of sodium chloride is negative so the pro-cess is spontaneous. Thus unforming sodiumchloride is nonspontaneous, so sodium chlo-ride is stable.

  • Version 181 Unit 4 Exam vandenbout (51335) 7

    020 24.0 points

    This question is merely a placeholder forthe points in the hand-graded portion of theexam.

    Explanation:

    This question is merely a placeholder forthe points in the hand-graded portion of theexam.