Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for a weak electrolyte, if the symbols carry their usual meaning :
- m - m + AC 12 = 0
- m2C + Ka m 2 - Ka m m = 0
- m - m - AC 12 = 0
- m2C - Ka m 2 + Ka m m = 0
Answer
(4) m2C - Ka m 2 + Ka m m = 0
Solution
For a weak electrolyte HA, degree of dissociation = m m and Ostwald's law gives
Ka = C 21 -
Ka(1 - ) = C 2
Ka (1 - m m ) = C m2 ( m )2
Multiplying by ( m )2:
Ka ( m )2 - Ka m m = m2C
m2C - Ka ( m )2 + Ka m m = 0
Options (1) and (3) are Kohlrausch-type relations, valid only for strong electrolytes.
Answer: (4)