Molar conductances of `BaCl_2` , `H_2SO_4` and HCl at infinite dilutions are `x_1` `x_2` , and `x_3` respectively. Equivalent conductance of `BaSO_4` at infinite dilution will be

Options

A. `[x_1+x_2-x_3]/2`
B. `[x_1-x_2-x_3]/2`
C. `2(x_1+x_2-x_3)`
D. `[x_1+x_2-2x_3]/2`

Answer

D

Explanation

`Lambda_(m(BaSO_4))^oo=Lambda_(Ba^(2+))^oo+Lambda_(SO_4^(2-))^@`
`=Lambda_(m(BaCI_2))^oo+Lambda_((H_2SO_4))^oo-2Lambda_((HCI))^oo=x_1+x_2-2x_3`
and `Lambda_(eq)^oo=1/2Lambda_(m(BaCI_4))^@=1/2(x_1+x_2-2x_3)`