Chem 020 Tutorial Test 2, Section 004 Monday October 15, 07/08 Name: TA: 1. What volume, in liters, of 0.3 M KOH is required to neutralize 0.5 liters of 0.7 M H2SO4? H2SO4 is diprotic, therefore Moles KOH required = 2 x moles H2SO4 Moles H2SO4 = MV = 0.7 x 0.5 = 0.35 Moles KOH required = 2 x 0.35 = MKOH x VKOH = 0.3 x VKOH VKOH = 2.33 liters 1 mark for recognizing H2SO4 is diprotic, 1 mark for the correct answer. 2. A bottle of concentrated HCl has a density of 1.70 g/ml. When 1.0 ml of this concentrated solution is diluted to 1.5 liters the pH of the resulting solution is found to be 2.0. Find: a) the Molarity of the HCl in the original concentrated solution and b) the % by mass of HCl in the original concentrated solution. If pH = 2 then [HCl] = .01 The moles HCl in the diluted solution may be obtained from: Moles HCl = Mdilute solution x Vdilute solution = 0.01 x 1.5 = 0.015 Therefore we know 1.0 ml of the original concentrated solution contained 0.015 moles HCl and: MHCl = moles/volume = 0.015/.001 = 15 Now we also know 1 ml of the original concentrated solution contains 0.015 moles HCl ( mass = moles x molar mass = 0.015 x 36.45 = 0.547 g and, from the density, we know I ml of this solution weighs 1.70 g. % HCl by mass = [mass HCl/mass solution] x 100 = 32.2 % 1mark for concentration HCl in the dilute solution, 1 additional mark for the rest. 3. A sample of an unknown triprotic acid weighing 9.8 grams is neutralized by 750 ml 0f 0.4 M NaOH. Find the molar mass of the acid. 3 moles of NaOH are required for each mole of the acid. Moles NaOH = MV = 0.4 x .750 = 0.3 Therefore moles acid = 0.3/3 = 0.1 Mass = moles x Molar mass 9.8 = 0.1 x Molar mass Molar mass = 98g 2 marks for correct answer. 4. Balance the following in acidic solution: Cu + NO3- → Cu2+ + NO2 Separate into ox and red and balance for elements except H and O Cu → Cu2+ (Oxidation) NO3- → NO2 (Reduction) Assign oxidation #s and balance for electrons: Cu → Cu2+ + 2eNO3- + e- → NO2 + Balance charge with H Cu → Cu2+ + 2e+ 2H + NO3- + e- → NO2 Balance O with H2O Cu → Cu2+ + 2e2H+ + NO3- + e- → NO2 + H2O Multiply be factor to eliminate 2e- and add Cu → Cu2+ + 2e4H + 2 NO3 + 2 e- → 2 NO2 + 2 H2O + - Cu + 4H+ + 2 NO3- → Cu2+ + 2 NO2 + 2 H2O 2 marks for correct answer (this example was done in class) 1. Balance the following in basic solution: Zn + NO3- → Zn(OH)42- + NH3 Separate into ox and red and balance for elements except H and O Zn → Zn(OH)42- + (Oxidation) NO3- → NH3 (Reduction) Assign oxidation #s and balance for electrons: Zn → Zn(OH)42- + 2eNO3- + 8 e- → NH3 Balance charge with OH 4OH- + Zn → Zn(OH)42- + 2eNO3- + 8 e- → NH3 + 9 OH- Balance O with H2O 4OH- + Zn → Zn(OH)42- + 2e6 H2O + NO3- + 8 e- → NH3 + 9 OH- Multiply be factor to eliminate e- and add 16OH- + 4Zn → 4 Zn(OH)42- + 8e6 H2O + NO3- + 8 e- → NH3 + 9 OH7OH- + 4Zn + 6 H2O + NO3- → 4 Zn(OH)42- + NH3 + One mark for correct separation into ox and red. One additional mark for correct answer. Chem 020 Tutorial Test 2, Section 001 Tuesday October 16, 07/08 Name: TA: 1. What volume, in liters, of 0.3 M KOH is required to neutralize 0.5 liters of 0.7 M H2SO4? H2SO4 is diprotic, therefore Moles KOH required = 2 x moles H2SO4 Moles H2SO4 = MV = 0.7 x 0.5 = 0.35 Moles KOH required = 2 x 0.35 = MKOH x VKOH = 0.3 x VKOH VKOH = 2.33 1 mark for recognizing H2SO4 is diprotic, 1 mark for the correct answer. 2. A bottle of concentrated HCl has a density of 1.70 g/ml. When 1.0 ml of this concentrated solution is diluted to 1.5 liters the pH of the resulting solution is found to be 2.0. Find: a) the Molarity of the HCl in the original concentrated solution and b) the % by mass of HCl in the original concentrated solution. If pH = 2 then [HCl] = .01 The moles HCl in the diluted solution may be obtained from: Moles HCl = Mdilute solution x Vdilute solution = 0.01 x 1.5 = 0.015 Therefore we know 1.0 ml of the original concentrated solution contained 0.015 moles HCl and: MHCl = moles/volume = 0.015/.001 = 15 Now we also know 1 ml of the original concentrated solution contains 0.015 moles HCl ( mass = moles x molar mass = 0.015 x 36.45 = 0.547 g and, from the density, we know I ml of this solution weighs 1.70 g. % HCl by mass = [mass HCl/mass solution] x 100 = 32.2 % 1mark for concentration HCl in the dilute solution, 1 additional mark for the rest. 3. A sample of an unknown diprotic acid weighing 13.8 grams is neutralized by 750 ml 0f 0.4 M NaOH. Find the molar mass of the acid. 2 moles of NaOH are required for each mole of the acid. Moles NaOH = MV = 0.4 x .750 = 0.3 Therefore moles acid = 0.3/2 = 0.15 And Mass = moles x Molar mass 13.8 = 0.15 x MM MM= 92 g 2 marks for correct answer. 4. Balance the following in acidic solution: Cu + SO42- → Cu2+ + SO2 Separate into ox and red and balance for elements except H and O Cu → Cu2+ (Oxidation) SO42- → SO2 (Reduction) Assign oxidation #s and balance for electrons: Cu → Cu2+ + 2eSO42- + 2e- → SO2 Balance charge with H+ Cu → Cu2+ + 2e4H+ + SO42- + 2e- → SO2 Balance O with H2O Cu → Cu2+ + 2e2+ 4H + SO4 + 2e- → SO2 + 2 H2O Multiply be factor to eliminate 2e- (in this case 1)and add Cu → Cu2+ + 2e4H+ + SO42- + 2e- → SO2 + 2 H2O Cu + 4H+ + SO42- → Cu2+ + SO2 + 2 H2O 2 marks for correct answer 5. Balance the following in basic solution: Zn + NO3- → Zn(OH)42- + NH3 Separate into ox and red and balance for elements except H and O Zn → Zn(OH)42- + (Oxidation) NO3- → NH3 (Reduction) Assign oxidation #s and balance for electrons: Zn → Zn(OH)42- + 2eNO3- + 8 e- → NH3 Balance charge with OH- Balance O with H2O 4OH- + Zn → Zn(OH)42- + 2eNO3- + 8 e- → NH3 + 9 OH- 4OH- + Zn → Zn(OH)42- + 2e6 H2O + NO3- + 8 e- → NH3 + 9 OH- Multiply be factor to eliminate e- and add 16OH- + 4Zn → 4 Zn(OH)42- + 8e6 H2O + NO3- + 8 e- → NH3 + 9 OH7OH- + 4Zn + 6 H2O + NO3- → 4 Zn(OH)42- + NH3 + One mark for correct separation into ox and red. One additional mark for correct answer. Chem 020 Tutorial Test 2, Section 004 Wednesday October 17, 07/08 Name: TA: 1. What is the pH of a solution prepared by adding 0.7 liters of 0.3 M KOH to 0.5 liters of 0.3 M H2SO4? (Assume volumes are additive). Moles H2SO4 = MV = 0.3 x 0.5 = 0.15; Moles H+ = 2 x 0.15 = 0.30 Moles KOH added = MKOH x VKOH = 0.3 x 0.7 = 0.21 Reaction is: H+ + OH- → H2O After reaction moles H+ remaining = 0.30 – 0.21 = 0.09 [H+ ] = moles/ vol = .09/1.0 = .09 pH = 1.05 1 mark for recognizing H2SO4 is diprotic, 1 mark for the correct answer (accept pH = 1). 2. A bottle of concentrated HCl has a density of 1.70 g/ml. When 1.0 ml of this concentrated solution is diluted to 1.5 liters the pH of the resulting solution is found to be 2.0. Find: a) the Molarity of the HCl in the original concentrated solution and b) the % by mass of HCl in the original concentrated solution. If pH = 2 then [HCl] = .01 The moles HCl in the diluted solution may be obtained from: Moles HCl = Mdilute solution x Vdilute solution = 0.01 x 1.5 = 0.015 Therefore we know 1.0 ml of the original concentrated solution contained 0.015 moles HCl and: MHCl = moles/volume = 0.015/.001 = 15 Now we also know 1 ml of the original concentrated solution contains 0.015 moles HCl ( mass = moles x molar mass = 0.015 x 36.45 = 0.547 g and, from the density, we know I ml of this solution weighs 1.70 g. % HCl by mass = [mass HCl/mass solution] x 100 = 32.2 % 1mark for concentration HCl in the dilute solution, 1 additional mark for the rest. 3. A sample of an unknown triprotic acid weighing 9.8 grams is neutralized by 375 ml 0f 0.4 M Ca(OH)2. Find the molar mass of the acid. If the acid is triprotic and base is dibasic then: 2H3A + 3 Ca(OH)2 → 3 H2O + 3 Ca2+ + 2 A31.5 moles of Ca(OH)2 → are required for each mole of the acid. Moles Ca(OH)2 = MV = 0.4 x .375 = 0.15 Therefore moles acid = 0.15/1.5 = 0.1 And Mass = moles x Molar mass = 9.8 = 0.1 x MM, MM = 98 2 marks for correct answer. 4. Give the oxidation number of all the elements in each of the following compounds: LiH Li = 1+, H= -1 (one mark if both right) KMnO4 K = 1+, Mn = 7+, O = -1 (one mark if all three right) 1. Balance the following in basic solution: F2 → F- + OF2 Separate into ox and red and balance for elements except H and O F2 → OF2 (Oxidation) (note strictly O is oxidized the F- comes from the reduction in the next step) F2 → 2F- (Reduction) Assign oxidation #s and balance for electrons: F2 → OF2 + 2e2e- + F2 → 2FBalance charge with OH- 2OH- + F2 2e- + Balance O with H2O → OF2 + 2eF2 → 2F- 2OH- + F2 → OF2 + 2e- + H2O 2e- + F2 → 2F- Multiply by factor to eliminate e-, , in this case 1, and add 2OH- + 2F2 → OF2 + 2F- + H2O One mark for correct separation into ox and red. One additional mark for correct answer.(feel free to be generous, this one is tricky) Chem 020 Tutorial Test 2, Section 004 Tuesday October 23, 07/08 Name: TA: 1. What is the pH of a solution prepared by adding 0.7 liters of 0.3 M Ca(OH)2 to 0.5 liters of 0.3 M H2SO4? (Assume volumes are additive). Moles H2SO4 = MV = 0.3 x 0.5 = 0.15; Moles H+ = 2 x 0.15 = 0.30 Moles Ca(OH)2 added = MCa(OH)2 x VCa(OH)2 = 0.3 x 0.7 = 0.21 ; Moles OH- = 2 x .21 = 0.42 Reaction is: H+ + OH- → H2O After reaction moles OH- remaining = 0.42 – 0.30 = 0.12 [ OH- ] = moles/ vol = .12/1.2 = 0.10 pOH = 1.0 pH = 13 1 mark for recognizing H2SO4 is diprotic and reacts with one mole Ca(OH)2 , 1 mark for the correct answer (accept pH = 1). 2. A bottle of concentrated HNO3 has a density of 1.80 g/ml. If the solution is 65% by mass HNO3 what volume of this solution will have a pH of 1.5 when it is diluted to a volume of 500 ml? If the density is 1.80 g/ml then 1.0 liters weigh 1800 g and the mass of HNO3 = 0.65 x 1800 = 1170 g and moles HNO3 = mass/molar mass = 1170/63 = 18.57 = molarity HNO3 Now; M(before dilution)V(before dilution) = M(after dilution)V(after dilution) After dilution pH = 1.5 [HNO3] = .0316 18.57 x V(before dilution) = 0.0316 x 0.5 V(before dilution) = 8.5 x 10-4 liters = 0.85 ml 1mark for concentration acid in the dilute solution, 1 additional mark for the rest. 3. Jane Student has an upset stomach with pH = 0.90. Naturally she wishes to change the pH to the more comfortable value of pH = 1.5. Assuming a volume of 1.5 liters, what weight of Mg(OH)2 should she consume? When pH = 0.9 moles H+ = MV = 10-0.9 x 1.5 = 0.188 When pH = 1.5 moles H+ = MV = 10-1.5 x 1.5 = 0.047 Moles H+ removed = 0.188 -0.047 = 0.141 Moles Mg(OH)2 required = 0.141/2 = 0.070 Mass Mg(OH)2 required = 0.070 x molar mass = 0.070 x 58 = 4.06 g One mark for moles H+ removed, one for correct answer. 4. Give the oxidation number of all the elements in each of the following compounds: H2O2 H = 1+, O = -1 (one mark if both right) H3PO4 H = 1+, P = 5+, O = -2 (one mark if all three right) 5. Balance the following in basic solution and identify the oxidizing and reducing agents: ZnO22- + Pb → Zn + PbO Separate into ox and red and balance for elements except H and O Pb → PbO (Oxidation) ZnO22- → Zn (Reduction) Assign oxidation #s and balance for electrons: Pb → PbO + 2e2e- + ZnO22- → Zn Balance charge with OH- Balance O with H2O 2OH- + Pb → PbO + 2e2e- + ZnO22- → Zn + 4OH2OH- + Pb 2H2O + 2e- + → PbO + 2e- + H2O ZnO22- → Zn + 4OH- Multiply by factor to eliminate e-, , in this case 1, and add H2O + Pb + ZnO22- → PbO + Zn + 2OH- Oxidizing agent is: ZnO22- , Reducing agent is Pb One mark for correct balance, one mark for identifying oxidizing and reducing agents. Chem 020 Tutorial Test 2, Section 001 Tuesday October 23, 07/08 Name: TA: 1. What is the pH of a solution prepared by adding 0.7 liters of 0.3 M Ca(OH)2 to 0.5 liters of 0.3 M H2SO4? (Assume volumes are additive). Moles H2SO4 = MV = 0.3 x 0.5 = 0.15; Moles H+ = 2 x 0.15 = 0.30 Moles Ca(OH)2 added = MCa(OH)2 x VCa(OH)2 = 0.3 x 0.7 = 0.21 ; Moles OH- = 2 x .21 = 0.42 Reaction is: H+ + OH- → H2O After reaction moles OH- remaining = 0.42 – 0.30 = 0.12 [ OH- ] = moles/ vol = .12/1.2 = 0.10 pOH = 1.0 pH = 13 1 mark for recognizing H2SO4 is diprotic and reacts with one mole Ca(OH)2 , 1 mark for the correct answer (accept pH = 1). 2. A bottle of concentrated HNO3 has a density of 1.80 g/ml. If the solution is 65% by mass HNO3 what volume of this solution will have a pH of 1.5 when it is diluted to a volume of 500 ml? If the density is 1.80 g/ml then 1.0 liters weigh 1800 g and the mass of HNO3 = 0.65 x 1800 = 1170 g and moles HNO3 = mass/molar mass = 1170/63 = 18.57 = molarity HNO3 Now; M(before dilution)V(before dilution) = M(after dilution)V(after dilution) After dilution pH = 1.5 [HNO3] = .0316 18.57 x V(before dilution) = 0.0316 x 0.5 V(before dilution) = 8.5 x 10-4 liters = 0.85 ml 1mark for concentration acid in the dilute solution, 1 additional mark for the rest. 3. Jane Student has an upset stomach with pH = 0.90. Naturally she wishes to change the pH to the more comfortable value of pH = 1.5. Assuming a volume of 1.5 liters, what weight of Mg(OH)2 should she consume? When pH = 0.9 moles H+ = MV = 10-0.9 x 1.5 = 0.188 When pH = 1.5 moles H+ = MV = 10-1.5 x 1.5 = 0.047 Moles H+ removed = 0.188 -0.047 = 0.141 Moles Mg(OH)2 required = 0.141/2 = 0.070 Mass Mg(OH)2 required = 0.070 x molar mass = 0.070 x 58 = 4.06 g One mark for moles H+ removed, one for correct answer. 4. Give the oxidation number of all the elements in each of the following compounds: H = 1+, O = -1 (one mark if both right) H2O2 H3PO4 H = 1+, P = 5+, O = -2 (one mark if all three right) 5. Balance the following in basic solution and identify the oxidizing and reducing agents: ZnO22- + Pb → Zn + PbO Separate into ox and red and balance for elements except H and O Pb → PbO (Oxidation) ZnO22- → Zn (Reduction) Assign oxidation #s and balance for electrons: Pb → PbO + 2e2e- + ZnO22- → Zn Balance charge with OH- Balance O with H2O 2OH- + Pb → PbO + 2e2e- + ZnO22- → Zn + 4OH2OH- + Pb 2H2O + 2e- + → PbO + 2e- + H2O ZnO22- → Zn + 4OH- Multiply by factor to eliminate e-, , in this case 1, and add H2O + Pb + ZnO22- → PbO + Zn + 2OH- Oxidizing agent is: ZnO22- , Reducing agent is Pb One mark for correct balance, one mark for identifying oxidizing and reducing agents. Chem 020 Tutorial Test 2, Section 004 Wednesday, October 24, 07/08 Name: TA: 1. What is the pH of a solution prepared by adding 0.7 liters of 0.3 M Ca(OH)2 to 0.5 liters of 0.3 M H2SO4? (Assume volumes are additive). Moles H2SO4 = MV = 0.3 x 0.5 = 0.15; Moles H+ = 2 x 0.15 = 0.30 Moles Ca(OH)2 added = MCa(OH)2 x VCa(OH)2 = 0.3 x 0.7 = 0.21 ; Moles OH- = 2 x .21 = 0.42 Reaction is: H+ + OH- → H2O After reaction moles OH- remaining = 0.42 – 0.30 = 0.12 [ OH- ] = moles/ vol = .12/1.2 = 0.10 pOH = 1.0 pH = 13 1 mark for recognizing H2SO4 is diprotic and reacts with one mole Ca(OH)2 , 1 mark for the correct answer (accept pH = 1). 2. A bottle of concentrated HNO3 has a density of 1.80 g/ml. If the solution is 65% by mass HNO3 what volume of this solution will have a pH of 1.5 when it is diluted to a volume of 500 ml? If the density is 1.80 g/ml then 1.0 liters weigh 1800 g and the mass of HNO3 = 0.65 x 1800 = 1170 g and moles HNO3 = mass/molar mass = 1170/63 = 18.57 = molarity HNO3 Now; M(before dilution)V(before dilution) = M(after dilution)V(after dilution) After dilution pH = 1.5 [HNO3] = .0316 18.57 x V(before dilution) = 0.0316 x 0.5 V(before dilution) = 8.5 x 10-4 liters = 0.85 ml 1mark for concentration acid in the dilute solution, 1 additional mark for the rest. 3. Jane Student has an upset stomach with pH = 0.90. Naturally she wishes to change the pH to the more comfortable value of pH = 1.5. Assuming a volume of 1.5 liters, what weight of Mg(OH)2 should she consume? When pH = 0.9 moles H+ = MV = 10-0.9 x 1.5 = 0.188 When pH = 1.5 moles H+ = MV = 10-1.5 x 1.5 = 0.047 Moles H+ removed = 0.188 -0.047 = 0.141 Moles Mg(OH)2 required = 0.141/2 = 0.070 Mass Mg(OH)2 required = 0.070 x molar mass = 0.070 x 58 = 4.06 g One mark for moles H+ removed, one for correct answer. 4. Give the oxidation number of all the elements in each of the following compounds: H = 1+, O = -1 (one mark if both right) H2O2 H3PO4 H = 1+, P = 5+, O = -2 (one mark if all three right) 5. Balance the following in basic solution and identify the oxidizing and reducing agents: ZnO22- + Pb → Zn + PbO Separate into ox and red and balance for elements except H and O Pb → PbO (Oxidation) ZnO22- → Zn (Reduction) Assign oxidation #s and balance for electrons: Pb → PbO + 2e2e- + ZnO22- → Zn Balance charge with OH- Balance O with H2O 2OH- + Pb → PbO + 2e2e- + ZnO22- → Zn + 4OH2OH- + Pb 2H2O + 2e- + → PbO + 2e- + H2O ZnO22- → Zn + 4OH- Multiply by factor to eliminate e-, , in this case 1, and add H2O + Pb + ZnO22- → PbO + Zn + 2OH- Oxidizing agent is: ZnO22- , Reducing agent is Pb One mark for correct balance, one mark for identifying oxidizing and reducing agents.
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