Tollen's reagent is used for the detection of aldehyde. When a solution of `AgNO_(3)` is added to glucose with `NH_(4)OH`, then gluconic acid is formed.
`Ag^(+)toe^(-)toAg,E_(red)^(@)=0.8V`
`C_(6)H_(12)O_(6)+H_(2)OtoC_(6)H_(12)O_(7)` (Gluconic acid) `+2H^(+)+2e^(-),E_(oxd)^(@)=-0.05V`
`Ag(NH_(3))_(2)^(+)+e^(-)toAg(s)+2NH_(3),E^(@)=-0.337V`
[Use `2.303xx(RT)/(F)=0.0592` and `(F)/(RT)=38.92` at 298K]
Now answer the following three questions:
Q. We have take a saturated solution of `AgBr`. `K_(sp)` of `AgBr` is `12xx10^(-14)` if `10^(-7)` mole of `AgNO_(3)` are added to 1 litre of this solution, find conductivity (specific conductance) of this solution in terms of `10^(-7)Sm^(-1)`
Given `lamda_((Ag^(+)))^(@)=6xx10^(-3)Sm^(2)mol^(-1),lamda_((Br^(-)))^(@)=8xx10^(-3)Sm^(2)mol^(-1),lamda_((NO_(3)^(-)))^(@)=7xx10^(-3)Sm^(2)mol^(-1)`

Answer

`55SM^(-1)`

Explanation

`AgBr(s)hArrAg^(+)+Br^(-)`
`(S+10^(-7))xxS=K_(SP)=12xx10^(-14)`
`S=3xx10^(-7)M`
`[Ag^(+)]=4xx10^(-7)M,[Br^(-)]=3xx10^(-7)M,[NO_(3)^(-)]=10^(-7)M`
`K_("total")=lamda_((Ag^(+)))^(@)lamda_((Ag^(+)))^(@)+lamda_(Br^(-))^(@)-lamda_(Br^(-))^(@)+lamda_((NO_(3))^(-))^(@)lamda_((NO_(3)^(-)))^(@)`
`lamd_(KCl)^(@)=lamda_(k)^(@)+lamda_(Cl^(-))^(@)`
`K_(KCl)=4xx10^(-4)xx6xx10^(-3)+3xx10^(-4)xx8xx10^(-3)+1xx10^(-4)xx7xx10^(-3)`
`K_(KCl)=24+24+7`
`K_(KCl)=55Scm^(-1)`