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18. Electrochemistry

electrochemistry: chemistry of flowing electrons
oxidation-reduction reaction
oxidation involves loss, reduction involves gain
example:

Galvanic cell

galvanic cell: converts chemical energy into electrical energy
ions in liquid must match metal
metals connected with wire
voltmeter: measures voltage between two points in electric circuit
volt (V): number of electrons flowing past a point in an amount of time
V = 0 at equilibrium
salt bridge: piece of paper soaked in ionic compound
image.png
anode: side of galvanic cell where oxidation occurs
cathode: side of galvanic cell where reduction occurs

Cell potential

cell potential (E): the pull of electrons through a wire (volts)
total cell potential must be positive for the cell to work
flip equation: E changes sign
do not multiply E if you multiply coefficients
half-cell: just the anode or just the cathode
hydrogen standard: E = 0
example:
reaction and total cell potential?
flip Mg reaction (make positive)
need to add the values of E
total cell potential: 0.71 V
balance electrons by multiplying equations by constant
voltage does not multiply
add equations together
Mg is anode, Al is cathode
ΔG: Gibb’s free energy (J)
n: moles of electrons (mol)
F: Faraday’s constant (96485 C/mol e⁻)
coulomb = C = J/V
faraday (unit): moles of electrons
E: cell potential (V)
changing the amount of metal does not do anything, only changing concentrations

Nonstandard cell potential

standard cell potential (E°): cell potential under standard conditions (1 M)
nonstandard cell potential (E): cell potential not under standard conditions
Nernst equation:
E: nonstandard cell potential
E°: standard cell potential
R: gas constant (J/K)
T: temperature (K)
n: electrons (mol)
F: Faraday’s constant (96485 C/mol e⁻)
Q: reaction quotient
adding to the left increases E, adding to the right decreases E
example:
if [Al³⁺] = 2.0 M, [Mn²⁺] = 1.0 M: E would be less
if [Al³⁺] = 1.0 M, [Mn²⁺] = 3.0 M: E would be greater

Electrolysis

electrolysis: adding electricity to reverse the reaction in a galvanic cell
e.g. charging devices, plating metals
ampere (amp): speed of electron current (coulombs per second)
use Faraday’s constant to convert to moles of electrons
I: flow of electrons (A)
q: charge (C)
t: time (s)
example:
, add 10.0 amps of electricity for 30 min; how much Cu(s) is made (g)?
amperes → coulombs:
coulombs → moles of electrons:
moles of electrons → moles of copper:
moles → grams

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