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Chapter 4: Chemical Reactions 135 57. (M) The volume of solution determines the amount of product. 3 2 4 2 4 2 4 3 2 4 2 4 2 4 0.186mol AgNO 1mol Ag CrO 331.73g Ag CrO1L mass Ag CrO = 415mL 1000mL 1L soln 2mol AgNO 1mol Ag CrO mass Ag CrO = 12.8 g Ag CrO 58. (M) 4 4 4 KMnO 4 4 2 mol KMnO 1 L KMnO1 mol KI V 9.13 g KI = 0.138 L KMnO 166.0023 g KI 10 mol KI 0.0797 mol KMnO 59. (M) 1L 0.175mol NaOH 2mol Na 22.99g Na mass Na =155mL soln 1000mL 1L soln 2mol NaOH 1mol Na = 0.624g Na 60. (M) We determine the amount of HCl present initially, and the amount desired. amount HCl present mL mmol HCl mL soln mmol HCl= 250.0 1.023 1 = 255.8 amount HCl desired mL mmol HCl mL soln mmol HCl= 250.0 1.000 1 = 250.0 1mmol Mg 24.3mg Mg mass Mg = 255.8 250.0 mmol HCl = 70. mg Mg 2mmol HCl 1mmol Mg 61. (M) The mass of oxalic acid enables us to determine the amount of NaOH in the solution. 2 2 4 2 2 4 2 2 4 2 2 4 0.3126g H C O 1000mL 1mol H C O 2mol NaOH NaOH = = 0.2649M 26.21mL soln 1L soln 90.04g H C O 1mol H C O 62. (D) The total amount of HCl present is the amount that reacted with the CaCO3 plus the amount that reacted with the Ba(OH)2 (aq). 3 3 3 3 3 moles HClfrom 1mol CaCO 2mol HCl 1000mmol = 0.1000g CaCO CaCO reaction 100.09g CaCO 1mol CaCO 1mol = 1.998mmol HCl 2 2 2 moles HCl from 0.01185mmol Ba OH 2 mmol HCl = 43.82 mL Ba OH reaction 1mL soln 1mmol Ba OH = 1.039 mmol HCl The HCl molarity is this total mmol of HCl divided by the total volume of 25.00 mL. [HCl] 1.998 +1.039 mmol HCl = = 0.1215M 25.00mL Chapter 4: Chemical Reactions 136 Determining the Limiting Reactant 63. (E) The limiting reactant is NH3 . For every mole of NH3(g) that reacts, a mole of NO(g) forms. Since 3.00 moles of NH3(g) reacts, 3.00 moles of NO(g) forms (1:1 mole ratio). 64. (E) The reaction of interest is: CaH2(s) + 2 H2O(l) Ca(OH)2(s) + 2 H2(g) The limiting reactant is H2O(l). The mole ratio between water and hydrogen gas is 1:1. Hence, if 1.54 moles of H2O(l) reacts, 1.54 moles of H2(g) forms (1:1 mole ratio). 65. (M) First we must determine the number of moles of NO produced by each reactant. The one producing the smaller amount of NO is the limiting reactant. 2mol NO mol NO = 0.696mol Cu = 0.464mol NO 3mol Cu Conversion pathway approach: 3 3 3 6.0 mol HNO1L 2 mol NO mol NO = 136 mL HNO aq × × × = 0.204 mol NO 1000 mL 1L 8 mol HNO Stepwise approach: 3 3 3 3 3 3 1L 136 mL HNO aq × 0.136 L HNO 1000 mL 6.0 mol HNO 0.136 L × 0.816 mol HNO 1L 2 mol NO 0.816 mol HNO × = 0.204 mol NO 8 mol HNO Since HNO3(aq) is the limiting reactant, it will be completely consumed, leaving some Cu unreacted. 66. (M) First determine the mass of H2 produced from each of the reactants. The smaller mass is that produced by the limiting reactant, which is the mass that should be produced. 2 2 2 2 2 (Al) 3mol H 2.016g H1mol Al mass H = 1.84g Al = 0.206g H 26.98g Al 2mol Al 1mol H 2 2 2 2 2 (HCl) 3mol H 2.016g H2.95mol HCl1L mass H = 75.0mL = 0.223g H 1000mL 1L 6mol HCl 1mol H Thus, 0.206 g H2 should be produced.
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