Which has maximum solubility `AB,AB_(2),AB_(3)` and `AB_(4)` if `K_(SP)` for all the salts are `10^(-10) :`

Options

A. `AB`
B. `AB_(2)`
C. `AB_(3)`
D. `AB_(4)`

Answer

4

Explanation

`{:(For,AB,,,K_(SP)=S^(2),rArr,S=10^(-5)),(For,AB_(2),hArr,A^(2+),+2B^(-),,),(,,,S," 2S",,):}`
`K_(SP)=4S^(3)=10^(-10)`
`S=((K_(SP))/(4))^(1//3)`
For `AB_(3)" "K_(SP)=27S^(4)`
`S=((K_(SP))/(27))^(1//4)`
For `AB_(4)" "K_(CP)=(4)^(4)S^(5)`
`s=((k_(sp))/((4)^(4)))^(1//5)`
Hence, solubility will be maximum for `AB_(4)`.