Review Reflecting on Chapter 8 Summarize this chapter in the format of your choice. Here are a few ideas to use as guidelines: • Relate the microscopic properties of acids and bases to their macroscopic properties. • Identify conjugate acid-base pairs for selected acid-base reactions, and compare their strengths. • State the relationship among Ka , Kb , and Kw . • Outline the relationship among [H3O+ ], pH, [OH− ], and pOH. • Describe two examples of buffer solutions in your daily life, and explain how they function. Reviewing Key Terms For each of the following terms, write a sentence that shows your understanding of its meaning. hydronium ion (H3O+(aq)) conjugate acid-base pair monoprotic acids polyprotic acids ion product constant pH for water (Kw ) acid dissociation pOH constant (Ka ) percent dissociation base dissociation constant (Kb ) buffer solution buffer capacity acid-base titration curve equivalence point Knowledge/Understanding 1. Give two examples of each of the following acids and bases. (a) Arrhenius acids (b) Brønsted-Lowry bases (c) Brønsted-Lowry bases that are not Arrhenius bases 2. Classify each compound as a strong acid, strong base, weak acid, or weak base. (a) phosphoric acid, H3PO4 (used in cola beverages and rust-proofing products) (b) chromic acid, H2CrO4 (used in the production of wood preservatives) (c) barium hydroxide, Ba(OH)2 , a white, toxic base (can be used to de-acidify paper) (d) CH3NH2 , commonly called methylamine (is responsible for the characteristic smell of fish that are no longer fresh) 3. Write a chemical formula for each acid or base. (a) the conjugate base of OH− (b) the conjugate acid of ammonia, NH3 (c) the conjugate acid of HCO3− (d) the conjugate base of HCO3− 4. Decide whether each statement is true or false, and explain your reasoning. (a) HBr is a stronger acid than HI. (b) HBrO2 is a stronger acid than HBrO. (c) H2SO3 is a stronger acid than HSO3− . 5. Arrange the following aqueous solutions in order of pH, from lowest to highest: 2.0 mol/L HClO4 , 2.0 mol/L NaCl, 0.20 mol/L CH3COOH, 0.02 mol/L HCl. 6. In each pair of bases, which is the stronger base? (a) HSO4−(aq) or SO42−(aq) (b) S2−(aq) or HS−(aq) (c) HPO42−(aq) or H2PO4−(aq) (d) HCO3−(aq) or CO32−(aq) 7. (a) Use Appendix E to find the values of Ka for hydrosulfuric acid, HS−(aq), and sulfurous acid, HSO3−(aq) . (b) Write equations for the base dissociation constants of HS−(aq) and HSO3−(aq) . (c) Calculate the value of Kb for each ion. (d) Which is the stronger base, HS−(aq) or HSO3−(aq) ? Explain. 8. While the pH of blood must be maintained within strict limits, the pH of urine can vary. The sulfur in foods, such as eggs, is oxidized in the body and excreted in the urine. Does the presence of sulfide ions in urine tend to increase or decrease the pH? Explain. 9. Sodium methanoate, NaHCOO, and methanoic acid, HCOOH, can be used to make a buffer solution. Explain how this combination resists changes in pH when small amounts of acid or base are added. 10. Oxoacids contain an atom that is bonded to one or more oxygen atoms. One or more of these oxygen atoms may also be bonded to hydrogen. Consider the following oxoacids: HBrO3(aq) , HClO3(aq) , HClO4(aq) , and H2SO3(aq) . (a) What factors are used to predict the strengths of oxoacids? (b) Arrange the oxoacids above in the order of increasing acid strength. Chapter 8 Acids, Bases, and pH • MHR 415 Inquiry 11. What is the pH of a mixture of equal solution, what is the acid dissociation constant for salicylic acid? COOH volumes of 0.040 mol/L hydrochloric acid and 0.020 mol/L sodium hydroxide? OH 12. Suppose that 15.0 mL of sulfuric acid just neutralized 18.0 mL of 0.500 mol/L sodium hydroxide solution. What is the concentration of the sulfuric acid? 13. A student dissolved 5.0 g of vitamin C in 250 mL of water. The molar mass of ascorbic acid is 176 g/mol, and its Ka is 8.0 × 10−5. Calculate the pH of the solution. Note: Abbreviate the formula of ascorbic acid to HAsc. 14. Benzoic acid is a weak, monoprotic acid (Ka = 6.3 × 10−5). Its structure is shown below. Calculate the pH and the percent dissociation of each of the following solutions of benzoic acid. Then use Le Châtelier’s principle to explain the trend in percent dissociation of the acid as the solution becomes more dilute. (a) 1.0 mol/L (b) 0.10 mol/L (c) 0.01 mol/L COOH Communication 19. List the oxoacids of bromine (HOBr, HBrO2 , HBrO3 , and HBrO4 ) in order of increasing strength. What is the order of increasing strength for the conjugate bases of these acids? 20. Consider the following acid-base reactions. HBrO2(aq)+CH3COO−(aq) CH3COOH(aq) + BrO−2(aq) H2S(aq) + OH−(aq) HS−(aq) + H2O() HS−(aq)+CH3COOH(aq) H2S(aq) + CH3COO−(aq) If each equilibrium lies to the right, arrange the following compounds in order of increasing acid strength: HBrO2 , CH3COOH, H2S, H2O. 21. Discuss the factors that can be used to predict the relative strength of different oxoacids. 22. The formula of methyl red indicator can be 15. Hypochlorous acid, HOCl, is a weak acid that is found in household bleach. It is made by dissolving chlorine gas in water. Cl2(g) + 2H2O() H3O+(aq) + Cl−(aq) + HOCl(aq) (a) Calculate the pH and the percent dissociation of a 0.065 mol/L solution of hypochlorous acid. (b) What is the conjugate base of hypochlorous acid? What is its value for Kb ? 16. Calculate the pH of a 1.0 mol/L aqueous solution of sodium benzoate. Note: Only the benzoate ion affects the pH of the solution. 17. Calculate the pH of a 0.10 mol/L aqueous solu- tion of sodium nitrite, NaNO2 . Note: Only the nitrite ion affects the pH of the solution. 18. A student prepared a saturated solution of salicylic acid and measured the pH of the solution. The student then carefully evaporated 100 mL of the solution and collected the solid. If the pH of the solution was 2.43, and 0.22 g was collected after evaporating 100 mL of the 416 MHR • Unit 4 Chemical Systems and Equilibrium abbreviated to HMr. Like most indicators, methyl red is a weak acid. HMr(aq) + H2O() H3O+(aq) + Mr−(aq) The change between colours (when the indicator colour is orange) occurs at a pH of 5.4. What is the equilibrium constant for the reaction? 23. Gallic acid is the common name for 3,4,5-trihydroxybenzoic acid. (a) Draw the structure of gallic acid. (b) Ka for gallic acid is 3.9 × 10−5. Calculate Kb for the conjugate base of gallic acid. Then write the formula of the ion. 24. (a) Sketch the pH curves you would expect if you titrated • a strong acid with a strong base • a strong acid with a weak base • a weak acid with a strong base (b) Congo red changes colour over a pH range of 3.0 to 5.0. For which of the above titrations would Congo red be a good indicator to use? (b) O2−/OH− and H2O/OH− 4.(a) H2S/HS− and NH3/NH4+ Making Connections 25. Citric acid can be added to candy to give a sour taste. The structure of citric acid is shown below. O H O O H O H C H O C C C C C H O H O H H (a) Identify the acidic hydrogen atoms that are removed by water in aqueous solution. Why do water molecules pull these hydrogen atoms away, rather than other hydrogen atoms in citric acid? (b) Why does citric acid not form OH− ions in aqueous solution, and act as a base? (c) When citric acid and sodium hydrogen carbonate are used in bubble gum, the bubble gum foams when chewed. Suggest a reason why this happens. 26. (a) Imagine that you have collected a sample of rainwater in your community. The pH of your sample is 4.52. Unpolluted rainwater has a pH of about 5.6. How many more hydronium ions are present in your sample, compared with normal rainwater? Calculate the ratio of the concentration of hydronium ions in your sample to the concentration of hydronium ions in unpolluted rainwater. (b) You have been invited to a community meeting to explain your findings to local residents. No one at the meeting has a background in chemistry. In a paragraph, write what you would say at this meeting. (c) Suggest at least two possible factors that could be responsible for the pH you measured. What observations would you want to make, and what data would you want to collect, to help you gain confidence that one of these factors is responsible? Answers to Practice Problems and Short Answers to Section Review Questions Practice Problems: 1.(a) chloride ion, Cl− (b) carbonate ion, CO32− (c) hydrogen sulfate ion, HSO4− (d) hydrazine, N2H4 2.(a) nitric acid, HNO3 (b) water, H2O (c) hydronium ion, H3O+ (d) carbonic acid, H2CO3 3.(a) HS−/H2S and H2O/OH− (b) H2SO4/HSO4− and H2O/H3O+ 5.(a) 4.5 mol/L (b) 1.35 mol/L (c) 0.02 mol/L (d) 0.0375 mol/L 6.(a) 3.1 mol/L (b) 0.87 mol/L (c) 0.701 mol/L (d) 0.697 mol/L 7.(a) acidic solution; [H3O+] = 0.479 mol/L (b) acidic solution; [H3O+] = 1.98 mol/L 8. acidic solution; [H3O+] = 0.46 mol/L 9.(a) [H3O+] = 0.45 mol/L; [OH−] = 2.2 × 10−14 mol/L (b) [OH−] = 1.1 mol/L; [H3O+] = 9.1 × 10−15 mol/L 10.(a) [H3O+] = 0.95 mol/L; [OH−] = 1.1 × 10−14 mol/L (b) [OH−] = 0.024 mol/L ; [H3O+] = 4.2 × 10−13 mol/L 11. [HCl] = 0.18 mol/L 12. [Ca(OH)2] = 0.29 mol/L 13. acidic; pH = 6.400 ; [OH−] = 2.51 × 10−8 mol/L 14. pOH = 2.1; [OH−] = 8 × 10−3 mol/L 15. acidic; [H3O+] = 1.9 × 10−5 mol/L; [OH−] = 5.2 × 10−10 ; pOH = 9.28 16. [H3O+] = [OH−] = 1.6 × 10−7 ; neutral 17. basic; pH = 8.19; [H3O+] = 6.5 × 10−9 mol/L; [OH−] = 1.5 × 10−6 mol/L 18. [H3O+] = 1.9 × 10−3 mol/L; [OH−] = 5.4 × 10−12 mol/L 19. pH = 2.41; 0.46% dissociation 20. Ka = 1.0 × 10−4 ; percent dissociation = 3.2% 21. pH = 2.65 22. Ka = 2.9 × 10−8 23. pH = 3.411 24. 1.2 g 25. pH = 4.82; [CO32−] = 4.7 × 10−11 mol/L 26. pH = 2.74 27. pH = 4.59; [HS−] = 2.6 × 10−5 mol/L 28. Ka = 1.0 × 10−14 ; Ka2 = [O2−][H3O+] [OH−] 29. pH = 11.14 30. pH = 10.50 31. Kb = 1.6 × 10−6 32. [OH−] = 1.0 × 10−2 mol/L; pOH = 1.98 33. [OH−] = 3.8 × 10−3 mol/L; percent dissociation = 1.7% 34. [NH3] = 2.8 × 10−2 mol/L 35. C6H5O− > C6H5COO− > HCOO− > F− 36. NH4+ 37. pH = 9.10 38. as an acid: HSO3−(aq) + H2O() H3O+(aq) + SO32−(aq) ; as a base: HSO3−(aq) + H2O() OH−(aq) + H2SO3(aq) Section Review: 8.1: H2PO4−(aq) + H3O+(aq) ; 1.(a) H3PO4(aq) + H2O(aq) H2PO4−(aq) + H2O(aq) HPO42−(aq) + H3O+(aq) ; HPO42−(aq) + H2O(aq) PO43−(aq) + H3O+(aq) HPO42−(aq) + H3O+(aq) ; (b) as an acid: H2PO4−(aq) + H2O(aq) H3PO4(aq) + H2O(aq) as a base: H2PO4−(aq) + H3O+(aq) (c) H3PO4(aq) is much stronger (although it is still a weak acid) than H2PO4−(aq) . 2. C6H4NH2COO− 3.(a) B(OH)3/B(OH)4− and H2O/H3O+ (b) weak 4.(a) weak acid (b) strong acid (c) strong base (d) weak base 8.2: 1.(a) 4.43 (b) 2.70 × 10−10 (c) 9.57 (d) acidic (e) 3.9 × 10−11 (f) 2.6 × 10−4 (g) 3.59 (h) basic (i) 1.4 × 10−13 (j) 12.85 (k) 1.15 (l) basic (m) 8 × 10−6 (n) 5.1 (o) 1 × 10−9 (p) acidic 2. pH = 2.39 3. Ka = 2.5 × 10−4 4. pH = 1.70; [HOOCCOO−] = 5.4 × 10−5 mol/L 5. [H2CO3] = 2.3 × 10−3 mol/L 8.3: 1. [OH−] = 7.6 × 10−3 mol/L; pH = 11.88 2. pH = 8.80 3. OBr− ; Kb = 3.6 × 10−6 8.4: 4. phenolphthalein 5. pH ∼ 5.0 Chapter 8 Acids, Bases, and pH • MHR 417
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