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Sparingly soluble salts maintains their ...

Sparingly soluble salts maintains their solubility product value in their saturated solutions irrespective of the sources of the ions .
what is the molar solubility of `AgNO_3 ` in a 0.1 M `H_2S ` solution buffered at pH= 2
` (K_1 and K_2 " of " H_2S " are " 10^(4) and 10^(-8) ` respectively) ` (K_(sp) " of " Ag_2S = 4xx 10^(-13) ) `
(Note : No `Ag_2S ` precipitate should be formed)

A

` 0.01 M`

B

` 0. 02 M`

C

` 0. 03 M`

D

` 0. 04 M`

Text Solution

Verified by Experts

The correct Answer is:
B
`pH= 2 , [H^(+) ] =10 ^(-2) M`
` K_a =([H^(+) ][S^(-2) ])/( [H_2S] ) rArr 10 ^(-12) =( 10 ^(-4) [S^(-2)])/( 10^(-1) ) `
` [S^(-2) ]= 10 ^(-9)M`
` Ag_2S hArr 2Ag^(+) +S^(_2) `
` K_(Sp) =[Ag^(+) ]^(2) [S^(-2) ], 4 xx10 ^(-13) =[Ag^(+) ]^(2) (10 ^(-9))`
` [Ag^(+) ]= 2xx 10 ^(-2) =0.02 M`
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