Which of the following expressions correctly repesents the equivalent conductance at infinte dilution of `Al_(2)(SO_(4))_(3)`. Given that `Lambda_(Al^(3+))^(@)` and `Lambda_(SO_(4)^(2-))^(@)` are the equivalent conductance at infinte dilution of the respective ions?

Options

A. `2 Lambda_(Al^(3+))^(@) + 3 Lambda_(SO_(4)^(2-))^(@)`
B. ` Lambda_(Al^(3+))^(@) + Lambda_(SO_(4)^(2-))^(@)`
C. `(Lambda_(Al^(3+))^(@) + Lambda_(SO_(4)^(2-))^(@) ) xx 6`
D. `(1)/(3) Lambda_(Al^(3+))^(@) + (1)/(2) Lambda^(@)`

Answer

B

Explanation

At infinite dilution , when dissociation is complete each ion makes a definite contribution towards molar conductance of the electrolyte irrespective of the nature of the other ion with which it is associated .
Hence `Lambda_(Al_(2) (SO_(4))_(3))^(@) = Lambda_(Al^(3+))^(@) + Lambda_(SO_(4)^(2-))^(@)`