Electrochemistry is the study of the interplay between electricity and chemical reactions.
It encompasses both spontaneous and nonspontaneous processes.
Basic Rules for Assigning Oxidation Numbers:
Elements: 0
Monatomic Ion: Its charge
Fluorine: -1
Oxygen: -2 (except in peroxides which is -1)
Hydrogen: +1 (except in metal hydrides which is -1)
The sum of oxidation numbers must equal the total charge of the compound, which is 0 for neutral compounds.
Oxidation: An increase in oxidation number, representing the loss of electrons.
Reduction: A decrease in oxidation number, representing the gain of electrons.
Agents:
An oxidizing agent (e.g., $H^+$) facilitates oxidation.
A reducing agent (e.g., $Zn$) facilitates reduction.
Oxidation and reduction half-reactions are written separately for balancing redox reactions.
Example for oxidation:
Zn(s)
ightarrow Zn^{2+}(aq) + 2e^-
Example for reduction:
2H^+(aq) + 2e^-
ightarrow H_2(g)
Write out two half-reactions, oxidation and reduction.
Balance non-oxygen and non-hydrogen atoms.
Balance oxygen using water, and hydrogen using protons ($H^+$).
Add electrons to both sides to balance the charges.
If necessary, multiply to equalize electrons in both half-reactions.
Add half-reactions together and simplify if needed.
To balance a redox reaction in a basic solution, balance it as if it were acidic. After balancing:
Add hydroxide ($OH^-$) to each side to neutralize $H^+$ and create water. Remove any water molecules from both sides as appropriate.
Function: Convert energy from spontaneous redox reactions into electrical energy.
Components:
Anode (oxidation occurs)
Cathode (reduction occurs)
Salt bridge to maintain charge balance.
Electrons flow from the anode to the cathode through an external circuit.
The potential difference between anode and cathode; indicates the tendency of electrons to flow.
Measured in volts (V): 1 V = 1 J/C.
Reduction potentials are compared to that of hydrogen, which is set as 0 V under standard conditions (1 M, 1 atm, 25°C).
Stronger oxidizing agents have more positive reduction potentials.
Standard cell potentials can be calculated using:
E{cell} = E{cathode} - E_{anode}
Relationship between cell potential and Gibbs free energy:
\Delta G = -nFE
Where $n$ is moles of electrons transferred and $F$ is Faraday’s constant (96,485 C/mol).
Use Gibbs free energy under varying conditions with the Nernst equation:
E = E^\circ - \frac{0.0592}{n} \log Q
Batteries: Portable sources of electrochemical power; can be primary (non-rechargeable) or secondary (rechargeable).
Corrosion Prevention: Methods include cathodic protection using sacrificial anodes.
Electrolysis: Nonspontaneous reactions driven by electrical energy for chemical synthesis.
Nonspontaneous reactions can occur if an external voltage is applied.
Charge (Q) can be calculated as: Q = It = nF where:
$I$ = current (A), $t$ = time (s), $n$ = moles of electrons.
Understanding these principles of electrochemistry is essential for applications in batteries, corrosion prevention, and industrial electrochemical processes.