Given the ionic conductance of `underset(underset(COO^(c-))(|))(COO^(c-)),K^(o+), ` and `Na^(o+)` are `74,50,` and `73cm^(2)ohm^(-1)eq^(-1)`, respectviley. The equivalent conductance at infinite dilution of the salt `underset(underset(COOK)(|))(COONa)` is

Options

A. `197 cm^(2)ohm^(-1)eq^(-1)`
B. `172cm^(2)ohm^(-1)eq^(-1)`
C. `135.5cm^(2)ohm^(-1)eq^(-1)`
D. `160.5cm^(2)ohm^(-1)eq^(-1)`

Answer

c

Explanation

Total charge `=2`
Number of equivalent of ion `=("Charge on the ion")/("Total charge")`
`:. " "Eq of (underset(underset(COO^(c-))|)(COO^(c-)))=(2)/(2)=1`
`Eq of Na^(o+)=(1)/(2), Eq of K^(o+)=(1)/(2) `
`:." " lambda^(@)._(eq) (underset(underset(COOK)|)(COONa)) `
`=lambda^(@_)._(eq)(underset(underset(COO^(c-))|)(COO^(c-)))+(1)/(2) lambda^(@)._(Na^(o+))+(1)/(2) lambda^(@).K^(o+)`
`=74+(50)/(2)+(73)/(2)=135.5`