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Chapter 5: Introduction to Reactions in Aqueous Solutions 201 2 2 4 2 2 2 4 2 2 2 4 2 2 4 2 1 mol H C O 2H O 126.07 g H C O 2H O 1 mol H C O 1 mol H C O 2H O 2 2 4 2= 0.9474 g H C O 2H O The mass of H C O H O2 2 4 22 that reacted with MnO2 2 2 4 2= 1.651 g 0.9474 g = 0.704 g H C O 2H O 2 2 4 2 2 2 2 2 4 2 2 2 4 2 2 2 4 2 2 1 mol H C O 1 mol MnO 86.9 g MnO mass MnO = 0.704 g H C O 2H O 126.07 g H C O 2H O 1 mol H C O 1 mol MnO = 0.485 g MnO % MnO 0.485g MnO 0.533gsample 100% 91.0% MnO2 2 2 96. (D) Reactions: 2 NH3 + H2SO4 (NH4)2SO4 and H2SO4 + 2NaOH 2 H2O + Na2SO4 - 2 4 - - 2 4OH - 2 4 H SO 2 4- 2 4OH n (used to find moles H SO in excess) 0.03224 L 0.4498 M = 0.01450 mol OH 1 mol H SO n ( in excess) = 0.01450 mol OH 0.00725108 mol H SO 2 mol OH n (used to find moles H SO in separate 2 4 - - 2 4 H SO 2 4- unreacted sample) 0.02224 L 0.4498 M = 0.0100035 mol OH 1 mol H SO n (initial) = 0.0100035 mol OH 0.005002 mol H SO 2 mol OH NOTE: this was in a 25.00 mL sample: we need to scale up to 5 2 4 2 4 2 4 2 4 3 H SO 2 4 2 4 H SO H SO H SO 2 4 2 4 2 4 NH 0.00 mL. Hence, n (initial) = 2 0.005002 mol H SO = 0.0100035 mol H SO n (reacted) = n (initial) n (excess) = 0.0100035 mol H SO 0.00725108 mol H SO = 0.00275 mol H SO n 0. 3 3 2 4 3 2 4 NH 3 3 2 mol NH 00275 mol H SO 0.005505 mol NH 1 mol H SO 1 mol N 14.0067 g N mass 0.005505 mol NH 0.0771 g N in sample 1 mol NH 1 mol N 100 g protein mass protein in sample = 0.0771 g N in sample 16 = 0.482 g protein in sample g N 0.482 g protein in sample percent protein in sample = 100% = 38.6 % protein 1.250 g sample 97. (D) The molecular formula for CH3CH2OH is C2H6O and for CH3COOH is C2H4O2. The first step is to balance the oxidation–reduction reaction. Oxidation: [C2H6O + H2O C2H4O2 + 4 H + + 4 e ] × 3 Reduction: [Cr2O7 2 + 14 H+ + 6e 2 Cr3+ + 7 H2O] × 2 Overall: 3 C2H6O + 2 Cr2O7 2 + 16 H+ 3 C2H4O2 + 4 Cr 3+ + 11 H2O Chapter 5: Introduction to Reactions in Aqueous Solutions 202 Before the breath test: -42 2 70.75 mg K Cr O 1 g 1 mol 1000 mL = 8.498 10 M 3 mL 1000 mg 294.19 g 1 L = 8×10-4 M (to 1 sig fig) For the breath sample: BrAC = 2 6 0.05 g C H O 1 mL blood 100 mL blood 2100 mL breath = 7 2 62.38×10 g C H O mL breath mass C2H6O = 7 2 62.38×10 g C H O mL breath × 500. mL breath = 1.19 × 10 4 g C2H6O Calculate the amount of K2Cr2O7 that reacts: – – 2 4 2 6 2 7 2 2 7 2 6 2 2 6 2 6 2 7 6 2 2 7 1 mol C H O 2 mol Cr O 1 mol K Cr O 1.19 10 g C H O 46.068 g C H O 3 mol C H O 1 mol Cr O = 1.72 10 mol K Cr O # mol K2Cr2O7 remaining = moles K2Cr2O7 before – moles K2Cr2O7 that reacts moles K2Cr2O7 before = -6 2 2 7 1 g 1 mol 0.75 mg K Cr O = 2.5 10 mol 1000 mg 294.19 g # mol K2Cr2O7 remaining = 2.5 × 10 6 mol 1.72 × 10 6 mol = 0.78 × 10 6 mol concentration of K2Cr2O7 after the breath test = 0.78 × 10 6 mol/0.003 L = 2.6 × 10 4 mol/L = 3 × 10 4 mol/L (to 1 sig fig) 98. (D) (a) Step 1: Assign oxidation states to each element in the reaction and identify the species being oxidized and reduced. The oxidation state of Cr is +6 in Cr2O7 2 and +3 in Cr3+. The oxidation state of Cl is 1 in Cl and 0 in Cl2. Each Cr gains three electrons and each Cl loses one electron. Step 2: Write separate, unbalanced equations for the oxidation and reduction half-reactions. Oxidation: Cl Cl2 Reduction: 22 7Cr O Cr 3+
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