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The solubility products of three sparing...

The solubility products of three sparingly soluble salts AB , `A-(2)B` and AB are respectively ` 4.0 xx 10 ^(-20) , 32 xx 10 ^(-11)` amd `2.7 xx 10^(-31)` The increasing order of their solublity is

A

`AB lt AB _(3) lt A_(2)B`

B

`AB _(3) lt AB lt A_(2)B`

C

`A _(2) lt AB _(3) lt AB`

D

`A _(2) lt AB lt AB _(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
The solubility product is defined as the product of concentration of the ions raised to a power equal to the numer of times the ions occur in the equation representing the dissociation of electrolyte at given temperature .(When the solution is saturated .)
(i) Electrolyte of the type = AB
`AB harr A^(+) + B^(-) `
If ,s = solubility
` K _(s) = [A ^(+)][B^(-)] = 4.0 xx 10 ^(-20) = s^(2)`
(ii) ` A _(2) B harr 2A ^(2 +) + B ^(2-) `
` k _(s) = [A ^(+)] [ B ^(-)] = 3.2xx 10^(-11) =4s ^(3) `
(iii) `AB_(3) harr A ^(3+) + 3B ^(-) `
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