State and explain Kohlrausch's law of indendent migration of ions.

Explanation

Kholrausch's law of independent migration of ions: The limiting molar conductivity of the electrolytes can be represented as the sum of the individual contributions of the anion and the cation of the electrolytes.
`lamda_(m(AB))^(0)=lamda_(A^(+))^(0)+lamda_(B)^(0)`
`lamda_(m)^(0)=` Limiting molar conductivity
`lamda_(A^(+))^(0)=` Limiting molar conductivity of cation
`lamda_(B)^(0)=` Limiting molar conductivity of anion
Applications :
1) Kohlrasch's law is used in the calculation of the limiting molar conductivity of weak electrolytes.
Eg: `lamda_(CH_(3)COOH)=lamda _(CH_(3)COONa)+lamda_(HCl)-lamda_(NaCl)`
` =lamda_(CH_(3)COO^(-))+lamda_(Na^(+))+lamda_(H^(+))+lamda_(Cl^(-))-lamda_(Na^(+))-lamda _(Cl^(-))`
`=lamda_(CH_(3)COO^(-))+lamdaH^(+)`
2) This law is used in the calculation of degree of dissociatioon of a weak electrolyte.
3) This law is used in the calculation of solubility of sparingly soluble salts like `AgCl, BaSO_(4)` etc.