State and explain Kohlrausch's law. How does it help in the calculation of `^^_(m)^(@)` for a weak electrolyte, `CH_(3)COOH`?

Explanation

Kohlrausch.s law. It states that at infinite dilution, the molar conductance of an electrolyte is equal to the sum of the molar conductances of its ions with molar conductance of each ion multiplied with the number of ions present in the formula of the electrolyte.
e.g., `^^_(m)^(oo)(CH_(3)COOH)`
`=lamda_(m)^(oo)(H^(+))+lamda_(m)^(oo)(CH_(3)COO^(-))`
`^^_(m)^(oo)(NH_(4)OH)=lamda_(m)^(oo)(NH_(4)^(+))+lamda_(m)^(oo)(OH^(-))`
Degree of dissociation of weak electrolyte,
`alpha=(^^_(m)^(c))/(^^_(m)^(oo))`
and `^^_(m)^(oo)(CH_(3)COOH)`
`=^^_(m)^(oo)(CH_(3)COONa)+^^_(m)^(oo)(HCl)-^^_(m)^(oo)(NaCl)`