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What can be permitted concentration of A...

What can be permitted concentration of `Ag^(+) ions ` in 0.1 M HCN solution buffered at pH =3 without causing precipitation of AgCN.
`K_(sp) " of " AgCN =1.2 xx 10 ^(-16) ,K_a " of " HCN = 4.8 xx 10^(-10 ) `

A

`1.6 xx 10 ^(-5) M`

B

` 2.5 xx 10^(-9) M`

C

` 8.0 xx 10^(-6) M`

D

` 1. 65 xx 10^(-6) M`

Text Solution

Verified by Experts

The correct Answer is:
B

` [Ag^(+) ] [CN^(-) ] lt Ksp , ([H^(+)][CN^(-) ])/( [HCN]) =Ka`
` rArr (10 ^(-3) xx [CN^(-) ])/( (0.1) ) =4.8 xx 10 ^(-10) `
`rArr [CN^(-) ] =4.8 xx 10 ^(-8) `
` rArr [Ag^(+)] =(1.2 xx 10 ^(-16))/( 4.8 xx 10 ^(-8) ) = 2.5 xx 10 ^(-9) `
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