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What is `[Ag^(+)]` in a solution made by dissolving both `Ag_(2)CrO_(4)` and `Ag_(2)C_(2)O_(4)` until saturation is reached with respect to both salt ? `[K_(sp) = (Ag_(2)C_(2)O_(4)) = 2 xx 10^(-11), K_(sp) (Ag_(2)CrO_(4)) = 2 xx 10^(-12)]`A. `2.80 xx 10^(-4)`B. `7.6 xx 10^(-5)`C. `6.63 xx 10^(-6)`D. `3.52 xx 10^(-4)` |
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Answer» Correct Answer - D `Ag_(2)CrO_(4)(s) hArr underset(2x+2y)((2Ag)^(+)(aq.)) + underset(x)(CrO_(4)^(2-)(aq.))` `Ag_(2)C_(2)underset(2y+2x)(O_(4)(s))hArr2Ag^(+)underset(y)((aq.))+C_(2)O_(4)^(2-)(aq.)` `(K_(sp_(1)))/(K_(sp_(1))) = x/y = (2xx10^(-12))/(2 xx 10^(-11)) rArr = 0.1 ` `2 xx 10^(-11) = (2 x + 2y)^(2).y` `2 xx 10^(-11) = 4.84y^(3)` `y = 1.6 xx 10^(-4)` `:. x = 0.16 xx 10^(-4)` Total `[Ag^(+)] = 2 x + 2y` `= (2 xx 0.16 + 2 xx 1.6) xx 10^(-4) = 3.52 xx 10^(-4)` |
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