Homework 6-solutions

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University of Texas *

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302

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Chemistry

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Apr 3, 2024

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1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 1.0points Which is NOT a conjugate acid-base pair? 1. HCl : Cl - 2. H 2 SO 4 : SO 2 - 4 correct 3. H 3 SO + 4 : H 2 SO 4 4. H 2 O : OH - 5. H 2 : H - Explanation: Except for H 2 SO 4 and SO 2 - 4 , the members of all of the pairs differ by one proton. 002 1.0points For a given weak acid HA the value of K a 1. cannot be less than 10 - 7 . 2. changes if we add a strong acid to a solution of the weak acid. 3. does not change with temperature. 4. changes if we add a strong base to a solution of the weak acid. 5. None of these correct 6. cannot be greater than 10 - 7 . 7. changes with the pH of the solution. Explanation: 003 1.0points Consider five generic acids (HA, HB, HC, HD, and HE) that have the following ionization constants. Ionization Acid Constant K a value HA 4 . 6 × 10 - 3 HB 1 . 3 × 10 - 3 HC 7 . 6 × 10 - 4 HD 6 . 3 × 10 - 3 HE 9 . 3 × 10 - 5 Which of the following anions will be the WEAKEST base? 1. A - 2. B - 3. C - 4. E - 5. D - correct Explanation: The weakest base anion will pair up with the strongest acid in the list which is HD. 004 1.0points Given the following p K a values, rank the conjugate bases in order of increasing strength. I) HF p K a = 3 . 45 II) HCN p K a = 9 . 31 III) HNO 2 p K a = 3 . 37 IV) HCOOH p K a = 3 . 75 V) H 2 CO 3 p K a = 6 . 37 1. II, V, IV, I, III 2. V, III, I, II, IV 3. II, IV, V, III, I 4. III, I, IV, V, II correct 5. I, II, III, IV, V Explanation:
2 005 1.0points Normal rain has a pH of about 5.5 whereas the most acidic rain measured in Los Angeles had a pH of 1.5. How much more concentrated in H + is the acid rain than the normal rain? Correct answer: 10000. Explanation: 006 1.0points Consider the following data phenol (C 6 H 5 OH) pK a = 9.99 chlorous acid (HClO 2 ) pK a = 1.96 pyridine (C 5 H 5 N) pK b = 8.77 aniline (C 6 H 5 NH 2 ) pK b = 9.42 Which of the following correctly lists bases arranged from weakest to strongest? 1. C 6 H 5 OH , C 6 H 5 NH 2 , C 5 H 5 N , HClO 2 2. C 6 H 5 O - , ClO - 2 , C 5 H 5 N , C 6 H 5 NH 2 3. ClO - 2 , C 6 H 5 NH 2 , C 5 H 5 N , C 6 H 5 O - cor- rect 4. C 6 H 5 O - , C 6 H 5 NH 2 , C 5 H 5 N , ClO - 2 5. HClO 2 , C 6 H 5 NH 2 , C 5 H 5 N , C 6 H 5 OH 6. C 6 H 5 OH , HClO 2 , C 5 H 5 N , C 6 H 5 NH 2 Explanation: The value of pK b is inversely proportional to the basicity (strength) of the base. By ranking from the largest (12.04) to the small- est (4.01) pK b , one is ranking from the least to most basic. pK b + pK a = pK w = 14 at room temperature. 007 1.0points Like all equilibrium constants, K w varies somewhat with temperature. Given that K w is 4 . 95 × 10 - 13 at some temperature, what is the pH of a neutral aqueous solution at that temperature? 1. 6.43 2. 6.22 3. 6.34 4. 6.06 5. 6.15 correct Explanation: 008 1.0points What is the pOH of a 0 . 09 M solution of Ba(OH) 2 ? Assume complete dissociation of the compound in water. 1. 12 . 95 2. 13 . 26 3. 0 . 74 correct 4. 1 . 05 Explanation: [Ba(OH) 2 ] = 0 . 09 M Ba(OH) 2 Ba 2+ + 2 OH - 0 . 09 - - 0 . 09 - 0 . 09 0 . 09 2(0 . 09) 0 0 . 09 0 . 18 pOH = - log[OH - ] = - log(0 . 18) = 0 . 74 009 1.0points The pH of a solution of Ba(OH) 2 is 9.40. What is the molarity of the Ba(OH) 2 solu- tion? 1. 5 . 0 × 10 - 5 M 2. 2 . 5 × 10 - 5 M 3. 1 . 8 × 10 - 5 M 4. 8 . 3 × 10 - 4 M 5. 1 . 3 × 10 - 5 M correct Explanation: 010 1.0points
3 A 0.200 M solution of a weak monoprotic acid HA is found to have a pH of 3.00 at room temperature. What is the ionization constant of this acid? 1. 1.0 × 10 - 6 2. 2.0 × 10 - 5 3. 2.0 × 10 - 9 4. 1.8 × 10 - 5 5. 1.0 × 10 - 3 6. 5.0 × 10 - 3 7. 5.30 8. 5.0 × 10 - 6 correct Explanation: 011 1.0points Hydroxylamine is a weak molecular base with K b = 6 . 6 × 10 - 9 . What is the pH of a 0.0500 M solution of hydroxylamine? 1. pH = 4.74 2. pH = 9.26 correct 3. pH = 9.48 4. pH = 10.37 5. pH = 3.63 6. pH = 8.93 7. pH = 7.12 Explanation: Hydroxylamine is a weak base, so use the equation to calculate weak base [OH - ] con- centration (note that this is the approximate equation. Why? Because K b is very small and the concentration is reasonable) : [OH - ] = radicalbig K b C b = radicalBig (6 . 6 × 10 - 9 ) (0 . 0500) = 1 . 82 × 10 - 5 After finding [OH - ], you can find pH using either method below: A) pOH = - log ( 1 . 82 × 10 - 5 ) = 4 . 74 pH = 14 - 4 . 74 = 9 . 26 or B) [H + ] = K w [OH - ] = 1 . 0 × 10 - 14 1 . 82 × 10 - 5 = 5 . 52 × 10 - 10 pH = - log ( 5 . 52 × 10 - 10 ) = 9 . 26 012 1.0points An aqueous solution of nitrous acid HNO 2 has a pH of 1.96. The ionization constant of this acid is 5.0 × 10 - 4 . How much nitrous acid was used to prepare one liter of this solution? (Approximate the full quadratic equation.) Correct answer: 11 . 3 grams. Explanation: 013 1.0points What would be the pH of a 0.25 M solution of phenylamine (C 6 H 5 NH 2 ) at room temper- ature? The K b of phenylamine is 4 × 10 - 10 . 1. 9 correct 2. 13 3. 10.5 4. 5 5. 1 Explanation: [OH - ] = (K b · C b ) 1 / 2 = (4 × 10 - 10 · 0 . 25) 1 / 2 = (10 - 10 ) 1 / 2 = 10 - 5 pOH = - log[OH - ] = - log(10 - 5 ) = 5 pH = pK w - pOH = 14 - 5 = 9
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4 014 1.0points