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Chapter 5: Introduction to Reactions in Aqueous Solutions 185 2 3 2 3 2 2 3 2 2 2Na CO s + 2 HC H O aq 2 NaC H O aq + H O(l) + CO g acetic acid required for solid: 2 3 2 3 2 2 3 2 3 2 2 3 2 3 1000 mmol Na CO 2 mmol HC H O = 7.55 g Na CO = 143 mmol HC H O 106.0 g Na CO 1 mmol Na CO Clearly there is not enough acetic acid present to react with all of the sodium carbonate. The resulting solution will not be acidic. In fact, the solution will contain only a trace amount of acetic acid (HC2H3O2). 59. (M) 2 3 2 2 3 2base 2 3 2 4.0 g HC H O 1 mol HC H O1.01 g vinegar V = 5.00 mL vinegar 1 mL 100.0 g vinegar 60.0 g HC H O 1 1 1 0.1000 1000 1 = 34 2 3 2 mol NaOH mol HC H O L base mol NaOH mL L mL base 60. (M) The titration reaction is . 2 4 2 4 22 NaOH aq + H SO aq Na SO aq + 2 H O(l) It is most convenient to consider molarity as millimoles per milliliter when solving this problem. H SO 49.74 mL base 0.935mmol NaOH 1mL base 1mmol H SO 2 mmol NaOH mL battery acid M 2 4 2 4 = 5.00 = 4.65 H2SO4 Thus, the battery acid is not sufficiently concentrated. 61. (E) Answer is (d): 120 % of necessary titrant added in titration of NH3 5 NH3 + 5 HCl + 1 HCl required for equivalence point 20 % excess 5 NH4 + + 6 Cl- + H3O + (depicted in question's drawing ) 62. (E) (a) H2O(l) + K +(aq) + Cl-(aq) (b) CH3COOH(aq) + CH3COO -(aq) + H2O(l) + Na +(aq) Chapter 5: Introduction to Reactions in Aqueous Solutions 186 Stoichiometry of Oxidation–Reduction Reactions 63. (M) Conversion pathway approach: 2 3 4 4 2 3 2 3 2 3 4 4 1mol As O 4 mol MnO 1mol KMnO 0.1078 g As O 197.84 g As O 5 mol As O 1mol MnO [ MnO ]= 1L 22.15 mL 1000 mL 4 = 0.01968 M KMnO Stepwise approach: 4 -4 -44 4 4 -42 3 2 3 2 3 2 3 -4 -44 2 3 4 2 3 4 [ KMnO ]= 1mol KMnO 10 mol MnO 10 1mol MnO mol KMnO L solution 1mol As O 0.1078 g As O = 5.449 10 mol As O 197.84g As O 4 mol MnO 5.449 10 mol As O = 4.359 10 mol MnO 5mol As O 4.359 = 4.359 -4 -24 4 4 4mol KMnO 1L 22.15 mL 0.02215 L solution 1000 mL mol KMnO 4.359 10 mol KMnO [ KMnO ]= = = 1.968 10 M L solution 0.02215 L solution 64. (E) The balanced equation for the titration is: 2 + 2 2+ 3 4 4 25 SO aq + 2 MnO aq + 6 H aq 5 SO aq + 2 Mn aq + 3 H O l 2 34 4 2 24 4 3 32 3 5 mmolSO0.02237 mmol KMnO 1mmol MnO 31.46 mL 1mL soln 1 mmol KMnO 2 mmol MnO SO = = 0.07038 M SO 25.00 mL SO soln 65. (M) First, we will determine the mass of Fe, then the percentage of iron in the ore. 2 2+ 2 7 2 2+ 2 7 0.05051 mol Cr O1 L 6 mol Fe 55.85 g Fe mass Fe = 28.72 mL 1000 mL 1 L soln 1 mol Fe1 mol Cr O mass Fe = 0.4861 g Fe % .Fe = 0.4861g Fe 0.9132 g ore Fe100% 53 23%