At a given temperature, the molar conductivity at infinite dilution of the electrolyte `A_(2)B` and the molar ionic conductance of `B^(2-)` are `x and y" ohm"^(-1)."cm"^(2)."mol"^(-1)` respectively. Find the molar ionic conductance of `A^(+)` ion.

Explanation

`A_(2)B(aq)rarr 2A^(+)(aq)+B^(2-)(aq)`
`Lambda_(m(A_(2)B))^(@)=2lambda_(m(A^+))^(@)+lambda_(m(B^(2-)))^(@)or, x = 2 lambda_(m(A^+))^(@)+y`
`therefore" "lambda_(m(A^+))^(@)=((x-y)/(2))"ohm"^(-1)."cm"^(2)."mol"^(-1)`