(i) Explain Kohlrausch's law. Write its applications.
Kohlrausch's law helps determine ionic conductivities and solubilities of weak electrolytes.
Step 1: Kohlrausch's Law:
The molar conductivity of an electrolyte at infinite dilution is the sum of the conductivities of its individual ions. \[ \Lambda_m^\circ = \lambda^+ + \lambda^- \]
Step 2: Applications: 1. Determination of Limiting Molar Conductivity of weak electrolytes.
2. Calculation of Degree of Dissociation (\(\alpha\)).
3. Determination of Solubility of Sparingly Soluble Salts.
Calculate the e.m.f. of the following cell: \[ \text{Cu(s)} | \text{Cu}^{2+} (1M) || \text{Ag}^{+} (0.01M) | \text{Ag(s)} \] Given: \[ E^0_{\text{Cu}^{2+}/\text{Cu}} = +0.34V, \quad E^0_{\text{Ag}^{+}/\text{Ag}} = +0.80V \]