Electrochemistry studies how chemical and electrical energy  are converted.
                        Oxidation numbers & Redox reactions
                          Oxidation numbers are the charge on an atom if the electrons  involved in the bond are assigned to the more electronegative atom in the  bond.  When oxidation numbers change  during a chemical reaction, it is a redox reaction.
                        Oxidation number method of balancing
                          The oxidation number method is used for balancing simple redox  reactions that cannot be easily balanced by the inspection method.  It includes:
                        
                          
                            
                              - Determine  the oxidation numbers of each atom.  
- Determine  the net change in charge.  Use the net  change to determine the ratio of atoms that would cancel out the net charge  change. 
- Use  the ratio as coefficients in the simplest compounds containing those elements.
- Finish  balancing by the inspection method.
 
                          Half-reaction method of balancing
                          The half-reaction method is for the most difficult redox  reactions:
                        
                          
                            
                              - Use  oxidation numbers to determine what’s oxidized and what’s reduced.
- Write  two half-reactions, one for reduction and one for oxidation
- Balance  all elements except H and O using inspection method.
- For  an acid redox reaction: Balance the O’s by adding H2O to the  side needing more O.  For a base redox  reaction: Balance O by adding twice as many OH- to the side needing more O.
- For  a acid redox reaction: Balance the H’s by adding H+ to the side needing  more H’s.  For a base redox  reaction:  Balance H’s by adding H2O to  the side needing more H’s.
- Determine  the charge of each side of each reaction.   Balance the charges by adding electrons to the side with the more  positive charge for each reaction.
- Multiply  the half-reactions by factors that will allow the electrons to cancel out.
- Add  the two half-reactions back together.
 
                          Voltaic cells
                          A voltaic cell separates the reduction and oxidation reaction  and forces the electrons to flow over a wire (producing electricity) from the  oxidation reaction (at the anode) to the reduction reaction (at the  cathode).  The cell consists of the two  separate half reaction, metal electrodes and a wire for conducting the  electrons, and a salt bridge for balancing the charge build-up to extend the  time the cell will operate.  Line  notation is a short-hand way of describing a cell:
                        
                          
                            
                              - Anode written first
- Reactants written 1st on each side
- Anode & Cathode separated with ║
- Different states of matter within same side  separated with │
- Same states of matter within same side separated  with a comma
 
                          Cell potentials
                          The cell potential (or electromotive force) of a voltaic cell  is due to the potential energy difference of the electrons before the transfer  and after the transfer.  A standard  reduction potential is the potential that would be produced between a given half-reaction  and hydrogen (hydrogen’s standard reduction potential has been defined as  0).  The standard reduction potentials  can be used to calculate the cell potential: EMF = cathode – anode.  Positive EMF values indicate a spontaneous  process.
                        Electrolytic cells
                          An electrolytic cell is the opposite of a voltaic cell.  An electrolytic cell converts electrical  energy into chemical energy by forcing a reaction to proceed in the  non-spontaneous direction by putting electricity in.  The voltage need to force the reaction in the  opposite direction is at least that produced by the spontaneous process.