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Equal volumes of 0.02M CaC1(2) and 0.000...

Equal volumes of `0.02M CaC1_(2)` and `0.0004M Na_(2)SO_(4)` are mixed. Will a precipitate from? `K_(sp)` for `CaSO_(4) = 2.4 xx 10^(-5)`?

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`{:(,CaCl_(2),+,Na_(2)SO_(4), to , CaSO_(4) , +, 2NaCl ),("Millimole added", 0.02 V, ,0.004 xxV ,,0,,0):}`
Suppose V mL both are mixed
` :. [Ca^(2+)] = (0.02V)/(2V)`
`[ SO_(4)^(2-)] = (0.004V)/(2V)`
` :. [Ca^(2+)] [ SO_(4)^(2-) ] = (0.02 V)/(2V) xx (0.0004V)/(2V) = 2xx10^(-5)`
Thus , ` [ Ca^(2+)] [ SO_(4)^(2-)] ` in solution ` lt K_(sp)`
` 2 xx 10^(-6) lt 2.4 xx10^(-5)`
` :. CaSO_(4) ` will not precipitate .
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