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Determine the number of moles of Agl whi...

Determine the number of moles of Agl which may be dissolved in 1.0 litre of 1.0M `CN^(-) ` solution ,`K_(sp) ` for Agl and `K_f ` for `[ Ag (CN)_2]^(-) " are " 1.2 xx 10 ^(-17) M^(2) and 7. 1 xx 10 ^(-19) ` respectively . If answer is `4.9 xx 10 ^(x) ` then x =__________?

Text Solution

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The correct Answer is:
1
`Agl hArr Ag^(+) I^(-) ,Ksp`
` (Ag^(+) +2CN^(-) hArr [Ag(CN)_2]^(-) ,K_f)/( underset( 1-2s) (Agl)+2CN^(-) hArr [Ag(CN)_2]^(-) +I^(-) ,K =KspK_f) `
` ((s)/(1-2s) )^(2) =Ksp, K_f =1.2 xx 10^(-17) xx 7.1 xx 10 ^(19) `
` rArr (s)/( 1-2s) =sqrt(8.52 xx 10 ^(2)) =29`
` 59S =29 rArr S =0.49 rArr S = 4.9 xx 10 ^(-1) `
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