REDOX AND ELECTROCHEMISTRY Oxidation Number A. Convenient way for keeping track of the number of electrons transferred in a chemical reaction B. Oxidation numbers are either: + , -, or 0 Rules for assigning oxidation numbers 1. Each atom of a free element has an oxidation number of zero Ex: Na Nao Na in NaCl is not a free element and does not have a charge of zero H2 each H-atom has a charge of zero 2. For any element in which only one oxidation number is present use that number. 3. Oxygen has an oxidation number of –2 EXCEPT in peroxides (H2O2) where it is –1 and in compounds with fluorine where it may be +1 or +2 Example in H2SO4 oxygen has an oxidation state of –2 A peroxide may occur when hydrogen or a group one or two reacts with oxygen, in this case there is more oxygen than in a normal metal oxide and the oxidation state is -1 4. Hydrogen has a +1 oxidation state in all compounds EXCEPT metal hydrides (LiH, CaH2) where its oxidation state is -1 Example in H2SO4 H has a charge of +1 5. If the compound is ionic use the first negative oxidation state for the nonmetal. example: Fex Cl3-1 x+3(-1)=0 x=+3 oxidation state of Fe is +3 HOW TO ASSIGN OXIDATION NUMBERS IN COMPOUNDS 1. Use the “rules” to identify the oxidation numbers of all atoms for which a rule exists 2. Multiply the oxidation number of each atom by its subscript 3. The sum of all oxidation number times the subscripts must be zero 4. Example: Na2S Na is group 1 and has an oxidation number of +1 and there is no rule for S Na2 +1 Sx 2(+1) + x =0 x=-2 so the oxidation state of S is -2 5. For polyatomic ions follow the same rules and procedure used for a compound except the sum of the (oxidation numbers X subscript) must equal the charge on the ion. 6. Example (SO4) -2 Oxygen has an oxidation number of –2 so SxO4 -2 x-8=-2 x=+6 so the oxidation state of S in (SO4) -2 is +6 If a compound consists of 2 polyatomic ions break it into the two ions and solve separately. Example (NH4)2SO4 (NH4)+1 (SO4)-2 NxH4+1 SxO4-2 X+4=+1 x-8=-2 X=-3 x=+6 So the oxidation state of N is -3 and of S is +6 REDOX Oxidation and Reduction result from the competition for electrons between atoms A. Oxidation 1. Represents a loss of electrons 2. Refers to any chemical change in which there is an increase in oxidation number 3. The particle that increases in oxidation number is said to be oxidized. 4. Reducing Agent -the substance that is oxidized 5. Examples Ca + Cl2 CaCl2 Assign oxidation numbers Ca0 +Cl2 0 Ca+2Cl2-1 Calcium, Ca0, loses electrons to the chlorine atom, its oxidation state increases from 0 to +2, therefore the calcium, Ca0 is oxidized or it is said to be the reducing agent B. Reduction 1. Represents a gain of electrons 2. Refers to any chemical change in which there is a decrease in the oxidation number 3. The particle that decreases in oxidation number is said to be reduced. 4. Oxidizing Agent –The substance that is reduced 5. Examples Ca + Cl2 CaCl2 Assign oxidation numbers Ca0 +Cl2 0 Ca+2Cl2-1 The Cl0 gains electrons from Ca0, its oxidation state decreases from 0 to –1, therefore Cl0 is reduced or it is said to be the oxidizing agent Redox Reactions- Reactions that involve both oxidation and reduction All types of reactions EXCEPT double replacement reactions can be a redox reaction. Double replacement reactions are NEVER redox reactions. How to analyze a redox reaction. 1. Assign oxidation numbers to all atoms Example 2H2 + O2 2H2O 0 0 +1 –2 2. Show the changes in oxidation number for the atoms involved. Use a line to connect the atoms undergoing oxidation and those undergoing reduction ox RED 2H2 + O2 2H2O 0 0 +1 –2 3. Indicate which element is oxidized and which is reduced H2- increases its oxidation number therefore it is oxidized so it is the reducing agent O2- decreases its oxidation number therefore it is reduced so it is the oxidizing agent ONLY REACTANTS CAN BE THE SUBSTANCE OXIDIZED OR REDUCED. The best reducing agents are group I and 2 metals because they want to lose electrons the most. Using Table J the best reducing agents are found at the top of the table. The best oxidizing agents are the most electronegative elements such as fluorine and oxygen because they want to gain electrons the most. Using table J the best oxidizing agents are found at the bottom of table J ELECTROCHEMISTRY A. Half –Reactions 1. Every redox reaction consists of 2 parts each called a half reaction a. Oxidation half reaction shows an atom or ion losing one or more electrons b. Reduction half reaction shows an atom or ion gaining one or more electrons 2. Separate electron equations can be written for each 3. Like other chemical reactions, half reactions must follow the law of conservation of mass. Atoms must be balanced. 4. In addition to conservation of mass, there must also be a conservation of charge. a. The net charge must be the same on both sides of the equation but it does not necessarily equal zero b. Charge is balanced by adding electrons to one side of the half reaction 5. Example: 1. Assign oxidation states and identify the substance oxidized and reduces. Mg + Cl2 MgCl2 0 0 +2 -1 2. Write oxidation half reaction a. balance for mass by adding coefficients b. balance for charge by adding electrons Oxidation half reaction: Mgo Mg+2 + 2e3. Write the reduction half reaction a. balance for mass by adding coefficients b. balance for charge by adding electrons Reduction half reaction: Cl2o + 2e- 2Cl- B. Balancing simple redox reactions 1. Write the oxidation and reduction half reactions (see previous notes) Example __Pb +__ Cr+3 __ Pb+2 +__ Cr Oxidation half reaction: Pbo Pb+2 + 2eReduction half-reaction: Cr+3 + 3e- Cro 2. Balance the half reactions by adding coefficients such that the number of electrons in both equations are equal 3(Pbo Pb+2+2e-) = 3Pbo3Pb+2 + 6e2(Cr+3 + 3e- Cro) = 2Cr+3 + 6e- 2Cro 3. Add the two half reactions together 3Pbo3Pb+2 + 6e+2Cr+3 + 6e- 2Cro 3Pbo + 2Cr+3 3Pb+2 + 2Cro D. Calculating Net Potential (voltage) of a Redox Reaction 1. Write both the oxidation and reduction half reactions 2. Go to the table of Reduction potential 3. For the reduction half reaction used the E0 value as written 4. For the oxidation half reaction negate the E0 value 5. Add the E0 values 6. Meaning of E0 a. A positive E0 means the reaction is spontaneous in the direction written b. A negative E0 means the reaction is not spontaneous in the direction it is written c. An E0 equal to zero indicates the reaction is in equilibrium Examples Calculate E0 for the following Zn + CuSO4 ZnSO4 + Cu