The specific conductance of a saturated AgCl solution is found to be `1.86 xx 10^(-6) S cm^(-1)` and that for water is` 6.0 xx 10^(-8) S cm^(-1).` The molar conductance of AgCl at infinite dilution is `180 S cm^(2) mol^(-1).` The solubility of AgCl is:

Options

A. `2 xx 10 ^(-7) mol L ^(-1)`
B. `2 xx 10 ^(-7) mol L ^(-1)`
C. `xx10 ^(-7) mol L ^(-1)`
D. `2 xx 10 ^(-14)mol L ^(-1)`

Answer

B

Explanation

`K _(AgCl) = K _("AgCl ("solution")")- K_(H _(2)O) = 186 xx 10 ^(-8) - 6 xx 10 ^(-8) = 1. 8`
`xx 10 ^(-6) S cm ^(-1)`
`^^AgCl ^(@) = K xx 1000 //S`
`S = ( K xx 1000)/( ^^ ^(@)AgCl ) = (1. 8 xx 10 ^(-6) xx 1000)/(180)= 10 ^(-5) molL ^(-1)`