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What mass of Agl will dissolve in 1.0L o...

What mass of Agl will dissolve in 1.0L of 1.0M `NH_3` ? Neglect change in conc. `NH_3 `
[ Given , `K_(sp) (Agl) =1.5 xx 10^(-16) ,K_f [Ag(NH_3) _2^(+) ] =1.6 xx 10^(7) ], `(At .Wt . Ag =108 , 1 =127)

A

`4.9 xx 10^(-5) g`

B

` 0.0056 g`

C

` 0.035 g`

D

` 0.011 g`

Text Solution

Verified by Experts

The correct Answer is:
D

Due to higher value of `K_f` mostly `Ag^(+) ` converted in to complex.
` K_(Sp) . K_f =(x^(2))/( (Z-2x)^(2) ) `
` 1.6 xx 10^(7) xx 1.5 xx10^(-16) =(x^(2))/((1-2x)^(2))`
but ` 1-2x ~~ 1, x =4.9 xx 10 ^(5) " mol " //lit `
Mass of ` Agl =4.9 xx 10 ^(-5) xx 235 =0.011 gm `
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