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Copyright © 2017 National Math + Science Initiative, Dallas, Texas. All rights reserved. Visit us online at www.nms.org 1
L, mL = liter(s), milliliter(s) mm Hg = millimeters of mercury g = gram(s)
E = hQ c = OQ
Q = frequency
Planck’s constant, h = 6.626 u 10�34 J s Speed of light, c = 2.998 u 108 m s�1
Avogadro’s number = 6.022 u 1023 mol�1
Electron charge, e = �1.602 × 10�19 coulomb
Kc = [C] [D]
[A] [B]
c d
a b, where a A + b B R c C + d D
Kp = C D
A B
( ) ( )
( ) ( )
c d
a b
P P
P P
Ka = [H ][A ][HA]
� �
Kb = [OH ][HB ][B]
� �
Kw = [H+][OH�] = 1.0 u 10�14 at 25qC = Ka u Kb
pH = pKa + log [A ][HA]
�
Kc (molar concentrations)
Kw (water)
ln[A] t � ln[A]0 = � kt
> @ > @0A A
1 1
t � = kt
t½ = 0.693k
t½ = half-life
AP CHEMISTRY ASSESSMENT 2
AP® CHEMISTRY EQUATIONS AND CONSTANTS
Throughout the exam the following symbols have the definitions specified unless otherwise noted.
J, kJ = joule(s), kilojoule(s) nm = nanometer(s) V = volt(s) atm = atmosphere(s) mol = mole(s)
ATOMIC STRUCTURE E = energy
O = wavelength
EQUILIBRIUM
pH = � log[H+] , pOH = � log[OH�]
14 = pH + pOH
pKa = � logKa , pKb = � logKb
Equilibrium Constants
Kp (gas pressures) Ka (weak acid) Kb (weak base)
KINETICS
k = rate constant t = time
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1 atm = 760 mm Hg = 760 torr
PV = nRT
moles A PA = Ptotal u XA, where XA = total moles
= PA + PB + PC + . . .Ptotal
mn = M
K = qC + 273
D = mV
1 2KE per molecule = mv2
A = abc
M = molar mass
KE = kinetic energy
A = absorbance
R = 8.314 J mol�1K�1
= 62.36 L torr mol�1 K�1
D D'Sq = ÇS products � ÇS reactants
D D'Hq = ÇDHf products � ÇDHf reactants
D D'Gq = ÇDGf products � ÇDG reactantsf
'Gq = 'Hq � T'Sq
= �RT ln K
= � n�Eq
qI =
t
Sq = standard entropy Hq = standard enthalpy Gq = standard Gibbs free energy
Eq = standard reduction potential
�� = 96,485 coulombs per mole of electrons
Faraday’s constant,
1 joule
1 volt =1 coulomb
GASES, LIQUIDS, AND SOLUTIONS
Molarity, M = moles of solute per liter of solution
THERMODYNAMICS / ELECTROCHEMISTRY
q = mc'T
P = pressure V = volume
T = temperature n = number of moles m = mass
D = density
v = velocity
a = molar absorptivity b = path length c = concentration
Gas constant,
= 0.08206 L atm mol�1 K�1
STP = 273.15 K and 1.0 atm
Ideal gas at STP = 22.4 L molí1
q = heat m = mass c = specific heat capacity T = temperature
n = number of moles
I = current (amperes) q = charge (coulombs) t = time (seconds)
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MULTIPLE CHOICE
Directions:Eachofthequestionsorincompletestatementsbelowisfollowedbyfoursuggestedanswersorcompletions.Selecttheonethatisbestineachcaseandentertheappropriateletterinthecorrespondingspaceontheanswersheet.
1. Asampleofawhite,crystallinesolidcompoundatroomtemperaturedidnotconductelectricityasapuresolid.Thesolideasilydissolvedinwaterbutstilldidnotconductandelectriccurrent.Whichofthefollowingtypesofinteractionsismostlikelyfoundbetweentheparticlesinthesubstance?(A)Ionicbonds(B)Metallicbonds(C)Covalentbonds(D)Hydrogenbonds
Element Formulas F F2
Cl Cl2, ClF, ClF3
Br Br2, BrF, BrF3, BrF5 I
2. Basedontheinformationaboveandperiodictrends,whichofthefollowingisthe
besthypothesisregardingtheformulasformedbyI?(A)IwillformonlyI2solid.(B)IwillformonlyI2andIF.(C)IwillformonlyI2,IF,IF3,andIF5.(D)IwillformI2,IF,IF3,IF5andIF7.
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3. BasedontheionizationenergiesofanunknownelementXgiveninthetableabove,whichofthefollowingismostlikelytheempiricalformulaofanoxideofelementX?
(A)XO2(B)XO4(C)X2O(D)X2O4
Ionization Energy (kJ/mol)
First 780 Second 1575 Third 3220 Fourth 4350 Fifth 16,100
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4. Lookingatthespectraforsodiumandpotassiumabove,whichofthefollowingwouldbestexplainthedifferenceinbindingenergyforthe3selectrons?(A)Potassiumhasagreaternuclearchargethansodium(B)Potassiumhasmoreelectron-electronrepulsionsthansodium(C)Sodiumhasonevalenceelectron(D)Sodiumhaslesselectronshieldingthanpotassium
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5. Whichofthefollowingparticulatediagramsbestshowstheformationofwatervaporfromhydrogengasandoxygengasinarigidcontainerat125˚C?
(A)
(B)
(C)
(D)
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6. Anexperimentdeterminedthatacompoundcontainingsodium,carbonandoxygen
iscomposedof43.4%byweightsodium,11.3%byweightcarbonandtherestoxygen.Themostlikelyempiricalformulaforthecompoundis
(A) Na2CO (B) Na2C2O2 (C) Na2C2O4 (D) Na2CO3
7. Tochooseawavelengthforanalysisofdyeinafoodsample,astudentrecordstheabsorbancespectraofthefooddyesolutionsfoundinthegraphabove.Whichwavelength(s)shouldthestudentsetthespectrophotometerinordertoanalyzeafoodproductforyellowdye?(A)320nm(B)420nm(C)520nm(D)620nm
320
360
400
440
480
520
560
600
640
680
Wavelength (nm)
Abso
rban
ce
0
0.2
0.4
0.6
0.8
1.4
1.8
1.2
1.0
Absorbance vs. Wavelength for Three SolutionsRed Soln Yellow Soln Green Soln
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8. Themassspectrumofanelementispresentedinthediagramabove.Basedonthespectrum,whichofthefollowingcanbeconcludedaboutthiselement?(A)Theelementisamemberoftheboronfamilywhereeachpeakrepresentsthe
lossofeachelectron.(B)Theelementamemberofthealkaline-earthmetalswithanatomicnumberclose
to20.(C)Theatomicmassoftheelementis21.(D)Theatomicmassoftheelementisbetween20and 21.
9. A70.0gsampleofmetalat80.0˚Cisplacedinto100.0gofwaterat22.0˚Ccontainedinacoffee-cupcalorimeter.Themetalandwatercometothesametemperatureat30.0˚C.Assumenoheatisabsorbedbythecalorimeter.Thespecificheatofwateris4.2J/g˚C.Theapproximatespecificheatofthemetalisclosestto
(A) 0.388Jg-1˚C-1
(B) 0.490Jg-1˚C-1
(C) 0.960Jg-1˚C-1
(D) 1.97Jg-1˚C-1
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10. A10.0mLsampleof0.100MK3PO4isaddedto20.0mLof0.300MAgNO3.Silverphosphateprecipitates.TheconcentrationofAg+ionsinsolutionAFTERreactionis,
(A)0.030M(B)0.100M(C)0.200M(D)0.300M
11. Thelatticeenergyofasaltisrelatedtotheenergyrequiredtoseparatetheions.Whichrepresentsthecorrectorderoftherelativelatticeenergiesfortheionicsolidsbelow?
NaCl,CaO,KI,MgO
(A) KI<MgO<NaCl<CaO(B) KI<NaCl<CaO<MgO (C) NaCl<KI<CaO<MgO(D) NaCl<CaO<MgO<KI
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12. Theheatingcurveforasampleofpureethanolisprovidedabove.Thetemperaturewasrecordedasa100.0gsampleofsolidethanolwasheatedataconstantrate.Whichofthefollowingstatementscanbesupportedusingtheheatingcurveforethanol?(A)EnergymustbereleasedasethanolmovesfromregionPtoregionT.(B)TheslopeTissteeperthanRbecausethespecificheatofethanolliquidisless
thanthespecificheatofethanolinthegaseousphase.(C)Theheatofvaporizationisgreaterthantheheatoffusionforethanol.(D)Solidethanolisthemoststableformforethanol.
Questions13and14refertothefollowingreaction: CaCO3(s)+2HCl(aq)→CaCl2(aq)+CO2(g)+H2O(l)Thereactionbetween0.500molesofCaCO3(s)and0.500molesofHCl(aq)isrepresentedbytheequationabove.Astudentmonitoredthereactionandcollectedthegasinapreviouslyevacuated1.0Lcontainerat300K.
13. WhatistheapproximatepressureoftheCO2(g)inthecontainerattheendofthereaction?
(A)6.15atm(B)12.3atm(C)24.6atm(D)49.3atm
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14. Identifythecorrectnetionicequationforthereactionrepresentedabove.
(A)CaCO3(s)+2HCl(aq)→CaCl2(aq)+CO2(g)+H2O(l)
(B)CO32-(s)+2H+(aq)→2Cl1-(aq)+CO2(g)+H2O(l)
(C)CaCO3(s)+2H+(aq)→Ca2+(aq)+CO2(g)+H2O(l)
(D)CO32-(s)+2H+(aq)→CO2(g)+H2O(l)Questions15–17refertothefollowingreaction:
3Cu(s)+8HNO3(aq)→3Cu(NO3)2(aq)+2NO(g)+4H2O(l)Inanexperimenttodeterminethepercentcopperinabrasssample,thereactionshownaboveisperformedinafumehood.Observationsincludebubbles,temperatureincreasingandcolorchangesinthesolutionfromcolorlesstogreentoblueandfinallyabrowngasisobserved.
15. Whichformula/namecombinationisincorrect?(A)HNO3/nitricacid(B)NO/nitricoxide(C)NO2/nitrogendioxide(D)Cu(NO3)2/copper(II)nitrate
16. Ifthebrasssampleweighed0.636gramscalculatetheapproximatevolumeof
16.0MHNO3(aq)neededtofullyreactthesample.Assumethatthebrasssampleispurecopperforcalculationpurposes.
(A)0.0016mL(B)0.16mL(C)1.6mL(D)16.7mL
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17. NO(g)isacolorlessgas,however,thestudentobservedabrowngasasthereaction
progressed.Thefollowingreactionsarethoughttooccur: 2NO(g)+O2(g)→2NO2(g) 2NO2(g)DN2O4(g)
Whichofthefollowingbestrepresentsthestructureofthedinitrogentetraoxidegasproducedinthesecondreaction?
(A)
(B)
(C)
(D)
NNO
O
O
O
NNOO O
O
NNOO O
O
NN OOO O
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Questions18–20refertothefollowingdata:Thetablebelowcontainsinformationaboutsamplesoffourdifferentgasesat0°C.Thegassamplesineachcontainerareheldataconstantvolumeof44.8L.
Container Gas Pressure(atm)
MassofSample(g)
1 H2 1.00 ?
2 NH3 1.00 ?
3 ? 1.00 56.0
4 SO3 1.00 160.
18. Onthebasisofthedataprovidedabove,thegasincontainer3couldbe(A)CO(B)C4H10(C)Cl2(D)N2O
19. Undertheconditionsgiven,considercontainers1,2,and4only.Whichstatementistrueregardingthesethreegases?(A)Container4willhavegreaterpressurethancontainers1and2.(B)Container4containsafewernumberofmoleculesthancontainers1and2.(C)Themoleculesincontainer1willmoveatafasterspeedthancontainers
2and4.(D)Themoleculesinallcontainerswillmoveatthesamespeed.
20. Whichstatementistrueregardingthegasesincontainers2and4?(A)NH3andSO3bothhavetrigonalplanarmoleculargeometries.(B)NH3isapolarmoleculewhileSO3isanonpolarmolecule.(C)ThebondanglesinNH3aregreaterthanthebondanglesinSO3.(D)NH3andSO3havebothsigmaandpibonding.
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21. WhichoftheimagesbelowbestrepresentsanioniccompoundlikeNaCldissolvedin
water?
A. B.
C. D.
22. Whichofthefollowingisthereasonthationizationenergygenerallyincreasesfromlefttorightacrossthesecondperiodoftheperiodictable?(A)Astheatomicnumberincreases,theelectronsarehardertoremove.(B)Shieldingincreaseswithanincreaseinnumberofelectrons.(C)Astheatomicnumberincreases,moreelectronsareaddedtotheatoms,thus
increasingtheelectron-electronrepulsions.(D)Astheatomicnumberincreases,moreprotonsinthenucleuscauseanincrease
intheeffectivenuclearcharge,makingithardertoremovetheelectrons.
23. Oxidationofthecyanideionproducesthestablecyanateion,OCN–1.Thefulminateion,CNO–1,ontheotherhandisveryunstable.Fulminatesaltsexplodewhenstruck;Hg(CNO)2isusedinblastingcaps.Whichexplanationbestexplainswhythefulminateionissounstablecomparedtocyanate?
(A)Nitrogenatomistooelectronegativetobeacentralatomintheion;carbonisa
muchbettercentralatom(B)Eachatominfulminatepossessesaformalchargewhileincyanateonlyoxygen
hasaformalchargeof–1(C)Thenegativechargeonfulminatecausesittoreactviolently(D)Nitrogenisunabletoexpanditsoctet
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24. Whichofthefollowingbestdescribesthepreparationof100.0mLof0.250MNaOH
solution?
(A)Measure0.25molesofNaOHpelletsonabalance,placeina100mLbeaker;measure100.0mLofdistilledwaterinagraduatedcylinderandmixcompletely.
(B)Useavolumetricpipettomeasure0.25mLofNaOHandplaceina100.0mLvolumetricflask;filltothelinewithdistilledwaterandmix.
(C)Useabalancetomeasureout1.00gramsofNaOH;addthesolidtoa100.0mLvolumetricflask,filltothelinewithwaterandmix.
(D)Measure4.17mLof6.0MNaOHina100mLgraduatedcylinderandadd95.83mLofdistilledwaterandmixthoroughly.
25. Brass,asubstitutionalalloy,isasolutioncomposedmainlyofcopperandzincatoms.Whichofthefollowingdiagramsbestrepresentsanalloyofbrass? (A)
(B)
(C)
(D)
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FREE RESPONSE
CH4(g)+2Cl2(g)→CH2Cl2(g)+2HCl(g)
26. Methanegasreactswithchlorinegastoformdichloromethaneandhydrogenchloride,asrepresentedbytheequationabove.(a) A25.0gsampleofmethaneisplacedinareactionvesselcontaining2.58molof
Cl2(g).(i)Identifythelimitingreactantwhenthemethaneandchlorinegasesare
combined.Justifyyouranswerwithacalculation.(ii)CalculatethetotalnumberofmolesofCH2Cl2(g)inthecontainerafterthe
limitingreactanthasbeentotallyconsumed.
InitiatingmostreactionsinvolvingchlorinegasinvolvesbreakingtheCl–Clbond,whichhasabondenergyof242kJmol–1.(b) Calculatetheamountofenergy,injoules,neededtobreakasingleCl–Clbond.(c) Wouldaredlaser,wavelengthof656nanometers,supplythenneededenergyto
breaktheCl–Clbond?Justifyyouranswer.(d)(i)DrawtheLewisstructurefordichloromethane,CH2Cl2(g),intheboxprovided. (ii)Identifythemolecularstructureforthismolecule.
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(e)ConsiderthefollowingBoltzmanndistributioncurverepresentingtheproductsofthisreaction.IdentifythepeakthatrepresentsHCl.Explainyourreasoning.
0 2200 4000 6000 8000 10000 12000 14000
Speed (m/s)
Num
ber o
f Mol
ecul
es
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27.Propane,C3H8,isahydrocarbonthatiscommonlyusedasfuelforcooking.
(a) Writeabalancedequationforthecompletecombustionofpropanegas,whichyieldsCO2(g)andH2O(l).
(b) (i)Calculatethevolumeofairat30°Cand1.00atmospherethatisneededtoburncompletely10.0gramsofpropane.Assumethatairis21.0percentO2byvolume.
(ii)Ifthereactionwereperformedatahigheraltitude,wouldthevolumeofairneededtocompletelyreactthepropanebegreaterthan,lessthanorequaltothecalculatedvolumeatsealevel?Explain.
(c) Theheatofcombustionofpropaneis–2,220.1kJ/mol.Calculatetheheatofformation,ΔH°f,ofpropanegiventhatΔH°fofH2O(l)=–285.3kJ/molandΔH°fofCO2(g)=–393.5kJ/mol.
(d) Assumingthatalloftheheatevolvedinburning30.0gramsofpropaneistransferredto8.00kilogramsofwater(specificheat=4.18J/g°C),calculatetheincreaseintemperatureofwater.
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28.AstudentisassignedthetaskofdeterminingthenumberofmolesofwaterinonemoleofMgCl2•nH2O.Thestudentcollectsthedatashowninthefollowingtable.
Massofemptycontainer 22.347g
Initialmassofsampleandcontainer 25.825g
Massofsampleandcontainerafterfirstheating 23.982g
Massofsampleandcontaineraftersecondheating 23.976g
Massofsampleandcontainerafterthirdheating 23.977g(a) Explainwhythestudentcancorrectlyconcludethatthehydratewasheateda
sufficientnumberoftimesintheexperiment.
(b) Usethedataaboveto(i) calculatethetotalnumberofmolesofwaterlostwhenthesamplewas
heated(ii) determinetheformulaofthehydratedcompound
(c) Adifferentstudentheatsthehydrateinanuncoveredcrucible,andsomeofthesolidspattersoutofthecrucible.Whateffectwillthespatteringhaveonthecalculatedmassofthewaterlostbythehydrate?Justifyyouranswer.
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