Approach 1: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 e- 1621 Approach 1: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we use the symbolic equation H2O + “O” 2 OH-(aq) 1622 Approach 1: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we use the symbolic equation H2O + “O” 2 OH-(aq) (use this for basic conditions) 1623 Approach 1: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we use the symbolic equation H2O + “O” 2 OH-(aq) (use this for basic conditions) 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) 1624 Approach 1: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we use the symbolic equation H2O + “O” 2 OH-(aq) (use this for basic conditions) 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) With the charge balanced: 3 e- + 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) 1625 So the two balanced half-reactions are: S2-(aq) S(s) + 2 e- (1) 1626 So the two balanced half-reactions are: S2-(aq) S(s) + 2 e(1) 3 e- + 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) (2) 1627 So the two balanced half-reactions are: S2-(aq) S(s) + 2 e(1) 3 e- + 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 1628 So the two balanced half-reactions are: S2-(aq) S(s) + 2 e(1) 3 e- + 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 3 S2-(aq) 3 S(s) + 6 e(1) 1629 So the two balanced half-reactions are: S2-(aq) S(s) + 2 e(1) 3 e- + 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 3 S2-(aq) 3 S(s) + 6 e(1) 6 e- + 4 H2O + 2 MnO4-(aq) 2 MnO2(s) + 8 OH-(aq) (2) 1630 So the two balanced half-reactions are: S2-(aq) S(s) + 2 e(1) 3 e- + 2 H2O + MnO4-(aq) MnO2(s) + 4 OH-(aq) (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 3 S2-(aq) 3 S(s) + 6 e(1) 6 e- + 4 H2O + 2 MnO4-(aq) 2 MnO2(s) + 8 OH-(aq) (2) Now add: 3 S2-(aq) + 4 H2O +2 MnO4-(aq) 3 S(s) + 2MnO2(s) + 8 OH-(aq) 1631 Approach 2: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) 1632 Approach 2: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 e- 1633 Approach 2: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we treat it as though the solution was acidic. 1634 Approach 2: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we treat it as though the solution was acidic. Use the symbolic equation: 2 H+(aq) + “O” H2O 1635 Approach 2: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we treat it as though the solution was acidic. Use the symbolic equation: 2 H+(aq) + “O” H2O 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O 1636 Approach 2: The skeleton equation is: S2-(aq) + MnO4-(aq) S(s) + MnO2(s) The first half-equation is: S2-(aq) S(s) + 2 eTo balance the second half-equation, we treat it as though the solution was acidic. Use the symbolic equation: 2 H+(aq) + “O” H2O 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O With the charge balanced: 3 e- + 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O 1637 The two half-equations are: 1638 The two half-equations are: S2-(aq) S(s) + 2 e- (1) 1639 The two half-equations are: S2-(aq) S(s) + 2 e3 e- + 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O (1) (2) 1640 The two half-equations are: S2-(aq) S(s) + 2 e(1) 3 e- + 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 1641 The two half-equations are: S2-(aq) S(s) + 2 e(1) 3 e- + 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 3 S2-(aq) 3 S(s) + 6 e(1) 1642 The two half-equations are: S2-(aq) S(s) + 2 e(1) 3 e- + 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 3 S2-(aq) 3 S(s) + 6 e(1) 6e- + 8 H+(aq) + 2MnO4-(aq) 2MnO2(s) + 4 H2O (2) 1643 The two half-equations are: S2-(aq) S(s) + 2 e(1) 3 e- + 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 3 S2-(aq) 3 S(s) + 6 e(1) 6e- + 8 H+(aq) + 2MnO4-(aq) 2MnO2(s) + 4 H2O (2) Now add the two half-equations: 1644 The two half-equations are: S2-(aq) S(s) + 2 e(1) 3 e- + 4 H+(aq) + MnO4-(aq) MnO2(s) + 2 H2O (2) We need to find a common factor for the number of electrons involved in both half-equations. That factor is 6, so multiply the first reaction by 3 and the second reaction by 2: 3 S2-(aq) 3 S(s) + 6 e(1) 6e- + 8 H+(aq) + 2MnO4-(aq) 2MnO2(s) + 4 H2O (2) Now add the two half-equations: 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H 2O 1645 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O 1646 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: 1647 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: (1) Remove any H+ by using the reaction H+ + OHH2O. 1648 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: (1) Remove any H+ by using the reaction H+ + OHH2O. (2) Do any cleanup that is necessary. 1649 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: (1) Remove any H+ by using the reaction H+ + OHH2O. (2) Do any cleanup that is necessary. Add 8 OH- to both sides of the equation above. 1650 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: (1) Remove any H+ by using the reaction H+ + OHH2O. (2) Do any cleanup that is necessary. Add 8 OH- to both sides of the equation above. 3 S2-(aq) + 8H2O + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4H2O + 8OH-(aq) 1651 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: (1) Remove any H+ by using the reaction H+ + OHH2O. (2) Do any cleanup that is necessary. Add 8 OH- to both sides of the equation above. 3 S2-(aq) + 8H2O + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4H2O + 8OH-(aq) Now cleanup the water: 1652 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: (1) Remove any H+ by using the reaction H+ + OHH2O. (2) Do any cleanup that is necessary. Add 8 OH- to both sides of the equation above. 3 S2-(aq) + 8H2O + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4H2O + 8OH-(aq) Now cleanup the water: 3 S2-(aq) + 4H2O + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 8OH-(aq) 1653 3 S2-(aq) + 8 H+(aq) + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4 H2O Now we need to: (1) Remove any H+ by using the reaction H+ + OHH2O. (2) Do any cleanup that is necessary. Add 8 OH- to both sides of the equation above. 3 S2-(aq) + 8H2O + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 4H2O + 8OH-(aq) Now cleanup the water: 3 S2-(aq) + 4H2O + 2MnO4-(aq) 3 S(s) + 2MnO2(s) + 8OH-(aq) This matches the previous approach. 1654 Electrolysis 1655 Electrolysis Electrolysis: A process that uses electrical energy to drive a non-spontaneous reaction. 1656 Electrolysis Electrolysis: A process that uses electrical energy to drive a non-spontaneous reaction. Electrolytic Cell: A device for carrying out electrolysis. 1657 Electrolysis Electrolysis: A process that uses electrical energy to drive a non-spontaneous reaction. Electrolytic Cell: A device for carrying out electrolysis. Electrochemical cell: A system that incorporates a redox reaction to produce or use electrical energy. 1658 Electrode: The part of an electrochemical cell that conducts electricity between the cell and the surroundings. 1659 Electrode: The part of an electrochemical cell that conducts electricity between the cell and the surroundings. Anode: Electrode where oxidation takes place. 1660 Electrode: The part of an electrochemical cell that conducts electricity between the cell and the surroundings. Anode: Electrode where oxidation takes place. Cathode: Electrode where reduction takes place. 1661 1662 1. Electrolysis of molten sodium chloride. 1663 1. Electrolysis of molten sodium chloride. The subscript l indicates liquid (not aqueous) in the following equations: 1664 1. Electrolysis of molten sodium chloride. The subscript l indicates liquid (not aqueous) in the following equations: Cathode reaction: Na+(l) + eNa(l) 1665 1. Electrolysis of molten sodium chloride. The subscript l indicates liquid (not aqueous) in the following equations: Cathode reaction: Na+(l) + eNa(l) Anode reaction: 2 Cl-(l) Cl2(g) + 2e- 1666 1. Electrolysis of molten sodium chloride. The subscript l indicates liquid (not aqueous) in the following equations: Cathode reaction: Na+(l) + eNa(l) Anode reaction: 2 Cl-(l) Cl2(g) + 2eOverall reaction: 2Na+(l) + 2 Cl-(l) 2 Na(l) + Cl2(g) 1667 1. Electrolysis of molten sodium chloride. The subscript l indicates liquid (not aqueous) in the following equations: Cathode reaction: Na+(l) + eNa(l) Anode reaction: 2 Cl-(l) Cl2(g) + 2eOverall reaction: 2Na+(l) + 2 Cl-(l) 2 Na(l) + Cl2(g) In this example, electricity is being used to drive a non-spontaneous reaction. Cl2(g) is an important industrial chemical. 1668 1. Electrolysis of molten sodium chloride. The subscript l indicates liquid (not aqueous) in the following equations: Cathode reaction: Na+(l) + eNa(l) Anode reaction: 2 Cl-(l) Cl2(g) + 2eOverall reaction: 2Na+(l) + 2 Cl-(l) 2 Na(l) + Cl2(g) In this example, electricity is being used to drive a non-spontaneous reaction. Cl2(g) is an important industrial chemical. The standard way to prepare reactive metals (such as sodium) is by electrolysis. 1669 1670 2. Electrolysis of water (in the presence of a small amount of H+(aq)). Cathode reaction: 2 H+(aq) + 2 eH2(g) Anode reaction: 2 H2O(l) 4 H+(aq) + O2(g) + 4eOverall reaction: 2 H2O(l) 2 H2(g) + O2(g) 1671 2. Electrolysis of water (in the presence of a small amount of H+(aq)). Cathode reaction: 2 H+(aq) + 2 eH2(g) Anode reaction: 2 H2O(l) 4 H+(aq) + O2(g) + 4eOverall reaction: 2 H2O(l) 2 H2(g) + O2(g) If electrolysis is attempted without the H+(aq) present, nothing happens. There is no current flow and no H2(g) or O2(g) is produced. 1672 2. Electrolysis of water (in the presence of a small amount of H+(aq)). Cathode reaction: 2 H+(aq) + 2 eH2(g) Anode reaction: 2 H2O(l) 4 H+(aq) + O2(g) + 4eOverall reaction: 2 H2O(l) 2 H2(g) + O2(g) If electrolysis is attempted without the H+(aq) present, nothing happens. There is no current flow and no H2(g) or O2(g) is produced. It is necessary that the solution be an electrolyte. 1673 2. Electrolysis of water (in the presence of a small amount of H+(aq)). Cathode reaction: 2 H+(aq) + 2 eH2(g) Anode reaction: 2 H2O(l) 4 H+(aq) + O2(g) + 4eOverall reaction: 2 H2O(l) 2 H2(g) + O2(g) If electrolysis is attempted without the H+(aq) present, nothing happens. There is no current flow and no H2(g) or O2(g) is produced. It is necessary that the solution be an electrolyte. Electrolyte : A solution that conducts an electric current due to the presence of ions. 1674 If the H+(aq) ions are provided by sulfuric acid for example, both the cation and the anion play a role. 1675 If the H+(aq) ions are provided by sulfuric acid for example, both the cation and the anion play a role. In the vicinity of the anode there would be a build up of positive charge (H+ ions are forming). 1676 If the H+(aq) ions are provided by sulfuric acid for example, both the cation and the anion play a role. In the vicinity of the anode there would be a build up of positive charge (H+ ions are forming). It is impossible for a region of solution to become electrically charged. 1677 If the H+(aq) ions are provided by sulfuric acid for example, both the cation and the anion play a role. In the vicinity of the anode there would be a build up of positive charge (H+ ions are forming). It is impossible for a region of solution to become electrically charged. In the present case HSO4- and SO42- ions would migrate to the anode to maintain electrical neutrality of the solution. 1678 If the H+(aq) ions are provided by sulfuric acid for example, both the cation and the anion play a role. In the vicinity of the anode there would be a build up of positive charge (H+ ions are forming). It is impossible for a region of solution to become electrically charged. In the present case HSO4- and SO42- ions would migrate to the anode to maintain electrical neutrality of the solution. H+ ions would migrate to the cathode region to prevent this region of the solution be depleted of positive ions. 1679 3. Electrolysis of aqueous sodium chloride solution. 1680
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