Electrochemistry

E_cell = E_right − E_left = E_cathode − E_anode

ΔrG = −nFE_cell

ΔrG° = −nFE°_cell = −RT ln K

E_cell = E°_cell − (RT/nF) ln Q

E_cell = E°_cell − (0.059/n) log Q [at 298 K]

At equilibrium: E_cell = 0, Q = K → ln K = nFE°_cell/RT

R = ρ(l/A)

G = 1/R = κ(A/l)

G* = l/A = R × κ (Cell Constant)

κ = G*/R = (l/A)/R

Λm = κ/c

Λ°m = ν+ λ°+ + ν− λ°−

Λm = Λ°m − A√c

α = Λm / Λ°m

Ka = cα2/(1−α) = cΛm2 / [Λ°m(Λ°m − Λm)]