Final ChemEXCEL Chemistry II 2014 Name: Good luck everyone! You can do it! Constants / Conversions 1 cal = 4.184 J 101.33 J = 1 L atm H2O specific heat = 1 cal g–1 °C–1 R = 0.08206 L atm mol–1 K–1 R = 8.31 J mol–1 K–1 Equations PV = nRT q = mC∆T w = –P∆V ∆H = ∆U – w ∆G = ∆H – T∆S KP = KC(RT)∆n gas ∆G = –RTln(KC) 1 Final ChemEXCEL Chemistry II 2014 1. Balance the following equations a. S8 + Ag Ag2S S8 16Ag8Ag2S 5 pts b. NaClO3 NaCl + O2 5 pts 2NaClO32NaCl 3O2 c. Combustion of caffeine, C8H10N4O2. Assume that all the Nitrogen in caffeine is converted to N2 during combustion. C8H10N4O2 9.5O25H2O 8CO2 2N2 5 pts d. KNO3 + C12H22O11 N2 + CO2 + H2O + K2CO3 48KNO3 5C12H22O1124N2 36CO2 55H2O 24K2CO3 5 pts e. HIO3 + FeI2 + HCl FeCl3 + ICl + H2O 5HIO3 4FeI2 25HCl4FeCl3 13ICl 15H2O 2 5 pts Final ChemEXCEL Chemistry II 2014 2. A 1.000 g sample of red phosphorus (P) reacts with oxygen gas to give 2.291 g of a phosphorus oxide (PnOm). What is the empirical formula and molecular formula of the product phosphorus oxide given the molar mass is approximately 284 g mol–1. Byconservationofmass,the2.291gofproductmusthave1gofP,sotherestofitshouldbeO. molesO 2.291g 1.000gP molesP 1.000gP 1 mol O 0.08068molO 16.00gO 1molP 0.03229molP 30.97gP 10 pts Therefore,theformulaisP0.03229O0.08068 WhichsimplifiestoP1O2.5,sotheempiricalformulaisP2O5 ThemolarmassofP2O5is141.94,thereforethemolecularformulaisP4O10 3. Dennis creates four questions for his class to solve. Determine whether or not the questions provide enough information to solve the problem. If yes, solve it. If no, explain what additional information is needed. a. The change in internal energy of a certain reaction is 500 J. What is the change in enthalpy of that same reaction? 5 pts Can’tdoit,wedon’tknowifthereisworkornotforthereaction. b. What is KC for the following reaction if at equilibrium there is 0.00100 M hemoglobin (aq), 0.00250 M O2 (aq), and 0.0100 M Hemoglobin•4O2 (aq)? Hemoglobin (aq) + 4O2 (aq) ⇌ Hemoglobin•4O2 (aq) KC Hemoglobin•4O2 Hemoglobin O2 4 0.0100 0.00100 0.00250 3 4 2.56 10 5 pts Final ChemEXCEL Chemistry II 2014 c. A mad scientist is feeling frisky and fills a bomb calorimeter with silicone instead of water. The scientist runs a reaction in the calorimeter which is known to have qrxn = 1059 J. The silicone increases from 298 K to 305 K. What is the specific heat of the silicone? Can’tdothisunlessweknowthemassofthesilicone.Wecancalculatetheheatcapacityofthis particularcalorimeterthough… 5 pts d. A chemistry lab owns 1.00 L of a 0.500 M-solution of NaCl (aq). How does a sane scientist in that lab make 100 mL of a 0.010 M solution of NaCl? M1 V1 M2 V2 0.500MNaCl V1 0.010MNaCldesired 0.100Ldesired 5 pts V1 0.00200L Take0.00200Lofthe0.500Msolutionandadd0.098LofH2Otoittogetthedesiredsolution. Ialsoacceptedsolutionswhichadded49Ltothe1L0.500Mandthentook100mLfromit, eventhoughthat’smorewastefulandmessesupyourstocksolution. 4. Limestone is etched away slowly by H2O and CO2 in the following reaction: CaCO3 (s) + H2O (l) + CO2 (aq) ⇌ Ca(HCO3)2 (aq) KC = 2.3 × 10–4 at 298 K A 1 kg block of CaCO3 is submerged in a closed system containing 3.00 L of H2O, which also has 5 g of CO2 dissolved in it. Assume that the container is completely full so that there is no equilibrium between CO2 (aq) and CO2 (g). a. What is the concentration of Ca(HCO3)2 when the system reaches equilibrium? 5g KC Ca HCO3 CO2 x 0.000026,so Ca HCO3 2 ⇌ CO2 CO2 . x CO2 2 5g Ca HCO3 2 xmol 3.00L 1molCO2 44.01gCO2 3.00L xmol x 2.3 10 10 pts is0.0000087M Itturnsoutifyoudidn’tdotheICEtableyouwouldgetthesameanswer…butthatisbecausex hasasmallvalue.Thiswon’talwaysbethecase,soshowingtheworkmatters. 4 Final ChemEXCEL Chemistry II 2014 b. What will happen to the equilibrium if more CaCO3 (s) is added to the container? Why? Nothingbecausetheequilibriumequationdoesn’tcontainCaCO3 s . 5 pts c. What will happen to the equilibrium if CO2 (g) is added to the container? Why? 5 pts IfsomeoftheCO2dissolvesinthewater,thentheequilibriumwillshifttowardtheproducts becausetheequilibriumequationcontainsCO2 aq butnotCO2 g . IfyousaidnothinghappensbecausenoequilibriumbetweengasanddissolvedCO2 that’sfine. d. What will happen to the equilibrium 6.00 L of water are used instead of 3.00 L? Why? 5 pts Theequilibriumwon’tchangebecausethevolumetermscanceloutintheequationforKC. e. Is this reaction a spontaneous process at 298 K? Hint: check the equations on the first page. 5 pts ∆G RTln K .08206L atm mol K 298 K ln 0.00023 204L atm mol Since∆Gispositive,theprocessisnonspontaneous. f. Assume that the reaction is not under equilibrium and goes to completion. What would be the limiting reactant? molesCO 5g 1 mol CO 48.01 g CO molesCaCO 1000gCaCO molesH O 3000gH O ThereforeCO2isthelimitingreactant. 5 0.104molCO 1molCaCO 100.09gCaCO 9.99molCaCO 1molH O 166.57molH O 18.01gH O 5 pts Final ChemEXCEL Chemistry II 2014 5. The gas diborane (B2H6) was investigated by NASA as a possible rocket fuel, but rejected. a. The external fuel tank of a space shuttle has a volume of 1.5 million L. How many moles of diborane are needed to fill the tank to a pressure of 2 atm at 298 K? n PV RT 2 atm 1500000 L 122680mol 0.08206 Latm mol‐1 K ‐1 298 K 5 pts b. The overall reaction for diborane as rocket fuel is B2H6 (g) 2B (s) + 3H2 (g) How many kilograms of B (s) are produced if all the moles of B2H6 calculated in part 5a are converted to B (s) and H2 (g)? 5 pts 122680molB H 2 mol B 1molB H 6 10.81 g B 1molB 1 kg B 1000gB 2652kgB Final ChemEXCEL Chemistry II 2014 c. How much pressure-volume work in kJ is done if all the moles of B2H6 calculated in part 5a are converted to B (s) and H2 (g)? Assume now that the reaction is not in the fuel tank, but is under an external pressure of 1 atm at 298 K. 10 pts AtadifferentpressuresoweneedtorecalculatevolumethatB2H6takesup. V nRT P 122680mol 0.08206 Latm mol‐1 K ‐1 1atm 298 K 3000002LB H Lawofcombiningvolumes!SovolumeofH2producedis9000006LH2. 3"L"H 1"L"B H 3000002LB H w ∆ 1atm 9000006 9000006LH 3000002 6000004Latm 607980kJ d. What is ∆H° of the reaction in kJ if 1 mol of B2H6 is converted to B (s) and H2 (g), given the following information? B2H6(g) + 3O2(g) B2O3(s) + 3H2O(g) ΔH°= −2035 kJ 2B2O3(s) 4B(s) + 3O2(g) ΔH°= 2546 kJ ΔH°= 1452 kJ 6H2O(g) 6H2(g) + 3O2(g) 5 pts B2H6 g 3O2 g B2O3 s 3H2O g ΔH° 2035kJ ½ 2B2O3 s 4B s 3O2 g ΔH° 2546kJ ½ ½ 6H2O g 6H2 g 3O2 g B2H6 g 6H2 g 4B s 7 ΔH° 1452kJ ½ ΔH° 36kJ Final ChemEXCEL Chemistry II 2014 e. What is ∆H° of the reaction in kJ if all the moles of B2H6 calculated in part 5a are converted to B (s) and H2 (g)? Foronemol,∆H ‐36kJ. 5 pts For122680mols,∆H ‐36 122680 ‐4416480kJ f. What volume of 298 K water in L would be needed in a massive bomb calorimeter to absorb all of the heat calculated in part 5e if you don’t want the temperature of the calorimeter to rise higher than 50 °C? Assume that only the water in the calorimeter absorbs heat and that the density of water is 1 g mL–1. 10 pts AlotofyouguysthoughtImeantthat∆T 50,Icanseewhyit’sconfusingsoIacceptedthose answerstoo. Fromparteweknowthatqrxn ‐4416480kJ –q q 4416480kJ Sinceassumeonlythewaterisabsorbingheat,qcalorimeter qwater m V m –q C∆T 4416480kJ 4.184J g density 50 1000J 1kJ 25 42222562gwater That’sonly1.7%ofanOlympicswimmingpool!? 8 42222562gwater 1mL 1g 1L 1000mL 42222L Final ChemEXCEL Chemistry II 2014 6. Two chemists, James and Bond, walk into a bar. They each order a Vesper, which is composed of 66.6% Gordon’s, 22.22% vodka, and 11.12% Lina Killet, and some ice. James demands his be shaken for 5 sec while Bond asks for his to be stirred for 5 sec. Who will have the more entropic drink, and why? Hint: there is no wrong answer if you provide a reasonable justification. 5 pts Justificationforequal:Ifyouwereabletostirthedrinkwithsameamountof“energy”as someoneshakingthedrink,theywouldbesimilar. Justificationforshakenbeingmoreentropic:Usuallypeopleareabletoshakeharderthanthey areabletostir,soshakendrinkswouldmoreentropicwithmoremixing/brokenchunksofice. Justificationforstirredbeingmoreentropic:Maybesomepeoplestirmoreenergeticallythan theywouldshake,sothenstirredwouldgetbettermixing/brokenchunksofice. 7. What is the difference between Gibb’s free energy and entropy? 10 pts Gibb’saccountsfortheentropyoftheuniverse soitisameasureofspontaneity,whileentropyS accountsforjusttheamountofdisorderofthesystem. 8. What is your favorite element? 5 pts 9
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