# Electrochemistry

Ohm's Law
$$v = IR$$ $$R = \rho \frac{l}{a}$$ Where V is Potential difference, R is Resistance, I is current, ρ is specific resistance, l is lenght of conductor and a is the cross-section of conductor.

Conductance
$$G = \frac{1}{R}$$ $$\text {The specific conductance k =} \frac{1}{\rho}$$

$$\text { Cell constant } \rho = \frac{l}{a}$$ $$k = G. \sigma$$

Molar conductance
$$\text {Molar conductance }A_{\,M} ( \Phi _{\,C}) = \frac{\text {1000 x k}}{\text{ C (or M)}}$$ where C is concentration of electrolyte in terms of molarity.

Equivelant conductance
$$\text {Equivelant conductance }A_{\,M} (A _{\,C}) = \frac{\text {1000 x k}}{\text{ C (or N)}}$$ where C is concentration(normality). AM = AN x (n-factor) $$A _{\,o} = \lim_{C \to 0} A _{\,C}$$ where Ao = equivalent conductance at infinite dilution.

$$m = Zit$$ where m is mass of substance deposited, Z is electrochemical equivalent, i is current and t is time. $$Z = \frac {\text{Atomic mass}}{\text{n x F}}$$
$$\frac {m _{\,1}} {m _{\,1}} = \frac {E _{\,1}} {E _{\,1}}$$ where E is equivalent weight.