Faraday's First Law of Electrolysis:
Statement:
Faraday's first law of electrolysis states that the amount of a substance deposited or liberated at an electrode during electrolysis is directly proportional to the amount of electric charge passed through the electrolyte.
Mathematical Form:
The law can be expressed as:
\(m = \frac{M \cdot Q}{F \cdot z}\)
where: - \(m\) is the mass of the substance deposited or liberated, - \(M\) is the molar mass of the substance, - \(Q\) is the total charge passed through the electrolyte (in coulombs), - \(F\) is the Faraday constant (approximately 96500 C/mol), - \(z\) is the valency of the ion (the number of electrons involved in the reaction).Implication:
This law indicates that the amount of substance deposited or liberated at the electrodes is proportional to the total charge passed, making electrolysis a controlled method for determining the quantity of material involved in redox reactions. Faraday’s first law is fundamental to understanding electroplating, electrorefining, and the electrolysis of water and salts.
The molar conductance of an infinitely dilute solution of ammonium chloride was found to be 185 S cm$^{-1}$ mol$^{-1}$ and the ionic conductance of hydroxyl and chloride ions are 170 and 70 S cm$^{-1}$ mol$^{-1}$, respectively. If molar conductance of 0.02 M solution of ammonium hydroxide is 85.5 S cm$^{-1}$ mol$^{-1}$, its degree of dissociation is given by x $\times$ 10$^{-1}$. The value of x is ______. (Nearest integer)
Consider the following half cell reaction $ \text{Cr}_2\text{O}_7^{2-} (\text{aq}) + 6\text{e}^- + 14\text{H}^+ (\text{aq}) \longrightarrow 2\text{Cr}^{3+} (\text{aq}) + 7\text{H}_2\text{O}(1) $
The reaction was conducted with the ratio of $\frac{[\text{Cr}^{3+}]^2}{[\text{Cr}_2\text{O}_7^{2-}]} = 10^{-6}$
The pH value at which the EMF of the half cell will become zero is ____ (nearest integer value)
[Given : standard half cell reduction potential $\text{E}^\circ_{\text{Cr}_2\text{O}_7^{2-}, \text{H}^+/\text{Cr}^{3+}} = 1.33\text{V}, \quad \frac{2.303\text{RT}}{\text{F}} = 0.059\text{V}$
| Concentration of KCl solution (mol/L) | Conductivity at 298.15 K (S cm-1) | Molar Conductivity at 298.15 K (S cm2 mol-1) |
|---|---|---|
| 1.000 | 0.1113 | 111.3 |
| 0.100 | 0.0129 | 129.0 |
| 0.010 | 0.00141 | 141.0 |