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In a saturated solution of the sparingly soluble strong electrolyte `AgIO_(3)` (Molecular mass = 283), the equilibrium which sets in is `AgIO_(3) (s) hArr Ag^(+) (aq) +IO_(3)^(-) (aq)` If the solubility product constant `K_(sp)` of `AgIO_(3)` at a given temperature is `1.0xx10^(-8)`, what is the mass of `AgIO_(3)` contained in 100 ml of its saturated solution ?A. `1.0xx10^(-4)g`B. `28.3xx10^(-2)g`C. `2.83xx10^(-3)g`D. `1.0xx10^(-7)g` |
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Answer» Correct Answer - C `{:("AgIO"_(3),hArr,"Ag"^(+),+,"IO"_(3)^(-)),(,,S,,S):}` `K_(sp)=S^(2) or S=sqrt(K_(sp))=sqrt(10^(-8))=10^(-4) "mol" L^(-1)` `=10^(-4)xx283 g L^(-1) = 2.83 xx 10^(-2) g L ^(-1)` Thus, 1000 mL of the saturated solution will contain `AgIO_(3)=2.83xx10^(-2)g` `:. 100 ` m L of the saturated solution will contain `AgIO_(3)=2.83xx10^(-3)g`. |
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