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Molar conductances of BaCl(2), H(2)SO(4)...

Molar conductances of `BaCl_(2), H_(2)SO_(4)` and HCl at infinite dilution are and `X_(1),X_(2)`, and `X_(3)` respectively. Molar conductance of `BaSO_(4)` at infinte dilution is

A

`(500x)/((x_1 + x_2 - 2x_3))`

B

`(10^(6) x^2)/((x_1 + x_2 - 2x_3)^(3))`

C

`(2.5 xx 10^(5) x^(2))/((x_1 + x_2 - x_3)^(2))`

D

`(0.25 x^(2))/( (x _1 + x_2 - x_3)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C

`BaSO_4 = (BaCl_2 + H_2SO_4 -2HCl) , ^^_(BaSO_4) = (2x_1 + 2x_(2) - 2x_(3)) = 2 (x_1 + x_2 - x_(3))`
` S=M =(K xx 1000)/(^^_M) = ( x xx 1000)/(2(x_1 + x_2 - x_3)) , K_(sp)(BaSO_4) = S^(2) = (x^(2) xx (500)^(2))/((x_1 + x_2 - x_3)^(2)) , K_(sp) = (x^(2) xx 2.5 xx 10^(5))/((x_1 + x_2 - x_3)^(2))`
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