What would be the valueof y if the molar solubility of AgBr in 0.1 M `Na_(2)S_(2)O_(3)` (aqueous) solution is gien as `y(10^(-2))M`?
[`K_(f)` of `AgBr=5xx10^(-13)` and `[K_(1)[Ag(S_(2)O_(3))_(2)]^(3-)`
`=5xx10^(13)`)

Answer

4.5

Explanation

The molar solubility of AgBr in 0.1 M
`AgBr(s)hArrAg^(+)+Br^(-),K_(sp)=5`
`xx10^(-13)`
`Ag^(+)+2S_(2)O_(3)^(2-)hArr[Ag(S_(2)O_(3))_(2)]^(3-),K_(7)=5`
`xx10^(13)`
`x-y 0.1-2x`
`AgBr(s)+2S_(2)O_(3)^(2-)impliesAg(S_(2)O_(3))_(2)]^(3-)+Br^(-)`
`0.1-2` xxx
`K_(f)xxK_(ap)=5xx10^(13)xx5xx10^(-13)`
`=(x^(2))/((0.1-2x)^(2))`
`5=x/(0.1-2x)implies0.045M=4.5`
`xx10^(-2)M`