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Quiz 3-solutions-1

Course: MATH 305G, Spring 2011
School: University of Texas
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126 Version Quiz 3 laude (51635) This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 5.0 points 200 mL of a 2 M solution of sodium chlorite (NaClO2) is titrated with 500 mL of 0.6 M HBr. What is the approximate pH of the resulting solution? HClO2 has a pKa of 2. 1 A 50 mL sample of Ca(OH)2 is titrated to the...

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126 Version Quiz 3 laude (51635) This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 5.0 points 200 mL of a 2 M solution of sodium chlorite (NaClO2) is titrated with 500 mL of 0.6 M HBr. What is the approximate pH of the resulting solution? HClO2 has a pKa of 2. 1 A 50 mL sample of Ca(OH)2 is titrated to the equivalence point by 200 mL of an HCl solution which has a pH of 1. What was the molarity of the Ca(OH)2 solution before the addition of any HCl? 1. 0.2 M correct 2. 0.5 M 3. 0.25 M 1. 7 4. 0.1 M 2. 2.5 5. 0.4 M 3. 6 Explanation: At the equivalence point, nOH = nH+ . Every mole of Ca(OH)2 produces 2 mol of OH . A pH of 1 corresponds to a molarity of 0.1 for HCl. (0.05 L)(2)[Ca(OH)2] = (0.2 L)(0.1 M) [Ca(OH)2 ] = 0.2 M 4. 2 5. 1.5 correct Explanation: Ca [H+] = Ka Cb (0.5 L)(0.6 M) = 10 (0.2 L)(2 M) (0.5 L)(0.6M) = 3 102 pH 1.5 004 5.0 points 2 002 5.0 points How many equations are needed to fully determine an aqueous system containing the acid H3 PO4 ? 1. 7 Which of the following assumptions are made when treating the equation [H+ ] = (Ka Ca )1/2 as a good approximation of the proton concentration of a weak acid solution? I) waters contribution to the proton concentration is negligible II) the percent ionization is low III) [H+] = [A] 1. II 2. 4 2. I 3. 5 3. III 4. 6 correct 4. I, II Explanation: The system would have an unknown value for [H+ ], [OH ], [H3 PO4 ], [H2PO4 ], [HPO4 2 ] and [PO4 3 ]. 003 5.0 points 5. II, III 6. I, III 7. I, II, III correct Version 126 Quiz 3 laude (51635) Explanation: In deriving the equation [H+ ] = (Ka Ca )1/2 , we ignore the protons that result from autoprotolysis that makes both statements I and III true, and we also assume that the value of Ca is large relative to the change in the concentration of the acid. In other words, we assume that the percent ioniation is low, so statement II is true. 005 5. 13 Explanation: Equal of volumes the titrant and analyte will be used to reach the equivalance point. Regardless of the starting volume, at the equivalance point the volume will be double the starting value and all of the benzoic acid will have been converted to benzoate. The solution will be 0.5 M C6 H5 COO . 5.0 points Which of the following pairs of solutions would not result in a buer upon mixing? 1. 1 L of 0.25 M HClO2 ; 1 L of 0.15 M CsOH 2. 1.5 L of 1 M HCl; 1 L of 2 M CH3 NH2 Kb = Kw /Ka = 1014 /(5 105 ) = 2 1010 [OH ] = (Kb Cb )1/2 3. 2.5 L of 0.1 M NH4 + ; 1 L of 0.1 M Ca(OH)2 4. 2 L of 0.1 M LiOH; 1 L of 0.1 M NH3 correct 5. 3 L of 0.2 M NaOH; 4 L of 0.2 M HF Explanation: 2 L of 0.1 M LiOH mixed with 1 L of 0.1 M NH3 would simply be a strong base solution, as the strength of the LiOH would overwhelm the NH3 and prevent rather than promote formation of its conjugate acid NH4 + . 006 2 5.0 points A 1 M solution of NaOH is used to titrate a 1 M solution of C6 H5 COOH (benzoic acid). If the Ka of C6 H5 COOH is 5 105, what is the pH of the solution at the equivalence point? = (2 1010 0.5)1/2 = (1010 )1/2 = 105 pOH = 5 pH = 9 007 5.0 points One liter of a buer containing 2 M H2 CO3 and 1.5 M NaHCO3 has 24 g of LiOH added to it. What is the new pH? Assume the Ka1 of H2 CO3 is 2.5 104 . 1. 4 correct 2. 8 3. 11 4. 3 1. 9 correct 5. 6 2. 5 6. 10 3. not enough information 4. 7 Explanation: 1 mol (24 g LiOH) 24 g = 1 mol LiOH Version 126 Quiz 3 laude (51635) [H+ ] = Ka (Ca /Cb ) = 2.5 104 (1 M/2.5 M) = 104 pH = 4 008 5.0 points What would be the pH of a solution prepared from 1 L of H2 O, 120 g of CH3 COOH and 328 g of NaCH3 COO? Assume the Ka of acetic acid is 2 105 . 1. 4.4 2. 9 3. 7 4. 9.6 5. 5 correct Explanation: (120 g CH3 COOH) 1 mol 60 g = 2 mol CH3 COOH 2 mol CH3 COOH = 2 M CH3 COOH 1 L H2 O (328 g NaCH3COO) 1 mol 82 g = 4 mol NaCH3COO 4 mol NaCH3COO = 4 M NaCH3COO 1 L H2 O [H+ ] = Ka (Ca /Cb ) = 2 105 (2 M/4 M) = 105 pH = 5 3
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University of Texas - MATH - 305G
Version 350 Quiz 3 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 5.0 pointsPredict the electron arrangement in IF+ .411. 2; 6.2. 6; 0.3. 6
University of Texas - MATH - 305G
Version 340 Quiz 4 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 5.0 pointsRank the following gases in terms of decreasing ideality: Cl2 , H2,
University of Texas - MATH - 305G
Version 445 Quiz 4 laude (51635)1This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.pH=8 means that pOH=6 and [OH ]=106Ksp = [Zn2+ ][OH ]2 (solve for Zn2+ )[Zn2+ ]
University of Texas - MATH - 305G
Version 483 Quiz 5 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1RT 2.5 kJ mol1(at STP)H f productsH fproducts5.
University of Texas - MATH - 305G
Version 081 Quiz 6 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1= k NAk = 1.381 1023 J K112. I only3. II only4.
University of Texas - MATH - 305G
to (aqt73) Section 2.2 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0013. limit = 34. limit does not exist5. limit = 410.0 pointsDetermine
University of Texas - MATH - 305G
to (aqt73) Section 2.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine the value of2 f ( x) g ( x)2 f ( x) 5 g ( x)Det
University of Texas - MATH - 305G
to (aqt73) Section 3.1 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points14. y + 7x + 1 = 05. y + 7x + 3 = 06. y 7x + 3 = 0Consid
University of Texas - MATH - 305G
to (aqt73) Section 3.3 isaacson (55826)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of f (a) whenf ( t) =1. f (a) =Find the x-
University of Texas - MATH - 305G
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University of Texas - MATH - 305G
to (aqt73) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1Find the derivative off ( x) =cos x.5x 4 sin x1. f (x) =4 + 5(x cos
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troyer (lmt836) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative of g wheng (x) = x3 cos x .4. x-i
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative off (x) = 3x sin 2x +3cos 2x .22. f
University of Texas - MATH - 305G
troyer (lmt836) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative of
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative off (x
University of Texas - MATH - 305G
troyer (lmt836) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001003Findxy + 3x + 4x2 = 1 .10.0 pointsdywhendxtan(xy ) = 2x y
University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001xy + 3x + 4x2 = 5 .2. y =y + 3 + 8xxy + 3 + 4xx3. y = y + 3 + 8x
University of Texas - MATH - 305G
troyer (lmt836) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.3.dydx4.dydx(4, 1)5.dydx(4, 1)6.xy + 3x + 4x2 = 1 .y + 3 +
University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1.dydx2.dydx3.dydx(5, 1)4.dydx(5, 1)y + 3 + 8xx5.dydx(5,
University of Texas - MATH - 305G
to (aqt73) Section 3.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA storm system is headed towards Austin.The Weather Service
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001In the right-angled triangle10.0 points1. speed = 24 sq. ft/sec2. spe
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0011the base of the pole when he is 14 feet fromthe pole?1. tip speed =
University of Texas - MATH - 305G
to (aqt73) Section 3.9 isaacson (55826)This print-out should have 3 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsFind the dierential, dy , ofy = f (x) = tan(4x2 ) .1
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points7. x = 55, 0,66 28. x = ,33003Find all the critic
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind all the critical points of f whenf ( x) =x2x.+ 25
University of Texas - MATH - 305G
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University of Texas - MATH - 305G
troyer (lmt836) Section 4.2 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsHow many real roots does the equationx5 + 2 x + 6 = 0
University of Texas - MATH - 305G
troyer (lmt836) Section 4.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsUse the graph10.0 pointsThe derivative of a fun
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to (aqt73) Section 4.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine if the limit2x + 1lim2 3x + 2x xexists, and i
University of Texas - MATH - 305G
to (aqt73) Section 4.5 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001143.210.0 points42242424242If f is a function on (4, 4)
University of Texas - MATH - 305G
to (aqt73) Section 4.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA rectangular dog pound with three kennelsas shown in the g
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to (aqt73) Section 4.9 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00112. F (x) = 7 sin x + 9 cos x + C3. none of these10.0 pointsFind the
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to (aqt73) Section 7.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFive functions are dened by the tablex123456f ( x)3
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to (aqt73) Section 7.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of x when1x = 6 log2+ 9 log3 27 .82. ln
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to (aqt73) Section 7.4 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Find the derivative off (x) = ln10.0 points1. f (x) = Find the deriv
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to (aqt73) Section 7.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsf (x) = 5 sin1 x + tan1 x .742. f (1) =1543. f (1) =1
University of Texas - MATH - 305G
to (aqt73) Section 7.8 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. A and B only5. B only10.0 points6. A onlyDetermine ifx3 + 6 x2 +
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CH301Worksheet 0Doing Math Without a Calculator(Hint: It is amazing how much math you can do with a pencil and paper, like long division!, or, moreimportant, by estimating and approximating. For example, watch an experimental scientist at work using jus
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