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Practice Exam for Exam 2 1. Potassium permanganate solution reacts with sodium oxalate solution in the presence of sulfuric acid in an oxidation-reduction reaction. Two of the products of this reaction are the manganese(II) ion and carbon dioxide. a. Write a balanced complete chemical equation for this reaction. 16 H2SO4 + 2 KMnO4 + 5 Na2C2O4 2 Mn(HSO4)2 + 10 CO2 + 2 KHSO4 + 10 NaHSO4 + 8 H2O b. If 25.43 mL of 0.02532 M potassium permanganate solution reacts with 14.64 mL of 0.09383 M sodium oxalate solution, how many liters of carbon dioxide gas are produced at 749.2 mmHg and 23.5°C? 0.02532 mol KMnO4 10 mol CO2 ?L CO2 = 25.43 mL KMnO4 × × 1000 mL KMnO4 2 mol KMnO4 × ?L CO2 = 14.64 mL Na 2C2O4 × ( 62.364 L mmHg mol −1 ) K −1 ( 296.7 K ) ( 749.2 mmHg ) 0.07950 L CO2 = 0.09383 mol Na 2C2O4 10 mol CO2 × 1000 mL Na 2C2O4 5 mol Na 2C2O4 × ( 62.364 L mmHg mol −1 ) K −1 ( 296.7 K ) ( 749.2 mmHg ) 0.06785 L CO2 = 0.06785 L of CO2 will be produced. 2. Balance the following oxidation-reduction reactions. Give the molecular equation if possible. a. Au + HNO3 NO2 + Au+ 0 +1 +5 -2 +4 -2 +1 H+ + Au + HNO3 NO2 + Au+ + H2O Au + 2 HNO3 NO2 + AuNO3 + H2O b. ClO- + CrO42- Cr(OH)3 + ClO4- +1 -2 +6 -2 +3 -2 +1 +7 -2 5 H2O + ClO- + 2 CrO42- 2 Cr(OH)3 + ClO4- + 4 OH- 3. A researcher determines the molar mass of a gas by using the time it takes for 1.00 mole of the gas to effuse compared to the amount of time it takes for 1.00 mol of argon to effuse at the same temperature in the same apparatus. She measures the time for argon to effuse as 6.34 minutes. 1.00 mole of the unknown gas takes 8.25 minutes to effuse. a. What is the density, in g L-1, of the unknown gas at STP? t unk = t Ar 2 2 t Munk 8.25 min −1 −1 ⇒ Munk= unk M Ar= ( 39.948 g mol )= 67.6 g mol M Ar 6.34 min t Ar ( 67.6 g mol ) (1.00 atm) = ( 0.082058 L atm mol K ) (273.15 K ) −1 MP = d = RT −1 3.02 g L−1 −1 b. At what Kelvin temperature would the unknown gas have an rms speed of 456.2 m s-1? u= rms 2 Murms T ⇒= = 3R M 3RT ( 67.6 × 10 kg mol )( 456.2 m s = ) 3 ( 8.314 J mol K ) −3 −1 2 −1 −1 −1 564 K 4, Use the data in the table provided to calculate the amount of energy, in kJ, produced or consumed when 100.00 grams of each of the reactants below is converted into products. 4 NH3 + 5 O2 4 NO + 6 H2O = ∆H ∑ products n∆H f − ∑ reactants n∆H f 4 mol NO 90.29 kJ 6 mol H2O −241.8 kJ 4 mol NH3 −45.90 kJ 5 mol O2 0.00 kJ = + − + mol rxn mol NO mol rxn mol H2O mol rxn mol NH3 mol rxn mol O2 = −906.04 kJ mol −1 1 mol NH3 1 mol rxn −906.04 kJ 100.0 g NH3 × × × = −1.330 × 103 kJ 17.0305 g NH3 4 mol NH3 mol rxn 100.0 g O2 × 1 mol O2 1 mol rxn −906.04 kJ × × = −566.3 kJ 31.9988 g O2 5 mol O2 mol rxn 566.3 kJ of energy will be produced by the mixture. 5. Hydrogen Sulfide, H2S, is a poisonous gas with the odor or rotten eggs. The reaction for the formation of H2S from the elements is H2 + 1/8 S8(rhombic) H2S Use Hess’s Law to obtain the enthalpy change for this reaction from the following enthalpy changes: -1(H2S + 3/2 O2 H2O + SO2) H2 + ½ O2 H2O 1/8 S8(rhombic) + O2 SO2 H = -518 kJ×-1 H = -242 kJ H = -297 kJ ∆H = −21 kJ ( −1)( −518 kJ) + (1)( −242 kJ) + (1)( −297 kJ) = 6. A mixture contains calcium carbonate, CaCO3, and magnesium carbonate, MgCO3. A sample of this mixture weighing 7.85 g was reacted with excess hydrochloric acid. The reactions are CaCO3 + 2 HCl CaCl2 + H2O + CO2 MgCO3 + 2 HCl MgCl2 + H2O + CO2 If the sample reacted completely and produced 1.94 L of carbon dioxide, CO2, at 25C and 785 mmHg, what were the percentages of CaCO3 and MgCO3 in the mixture? mCaCO3 + mMgCO3 =7.85 g ⇒ mCaCO3 =7.85 − mMgCO3 n= CO2 PV = RT ( 785 mmHg )(1.94 L ) = −1 K −1 ) ( 298 K ) ( 62.364 L mmHg mol (7.85 − m ) 1 mol CaCO3 1 mol CO2 1 mol MgCO3 1 mol CO2 0.08194 = mCaCO3 + mMgCO3 100.09 g CaCO3 1 mol CaCO3 84.314 g MgCO3 1 mol MgCO3 mMgCO3 MgCO3 + = 7.85 − mMgCO3 ( 84.314 ) + mMgCO3 (100.09 ) =( 0.08194 )(100.09 )( 84.314 ) =691.4906980244 100.09 84.314 691.4906980244 = 661.8649 − 84.314mMgCO3 + 100.09mMgCO3 = 661.8469 + 15.776mMgCO3 0.08194 = (( ) ) 691.4906980244 − 661.8469 =29.6438 =15.776mMgCO3 29.6438 = 1.88 g ⇒ mCaCO3 = 7.85 g − 1.88 g = 5.97 g 15.776 1.88 g % MgCO3 = × 100 = 23.95% and %CaCO3 = 100 − 23.95 = 76.05% 7.85 g mMgCO3 =