The solubility of a salt of weak acid (AB) at pH 3 is `Y xx 10^(-3) " mol "L^(-1)`. The value of Y is ____. (Given that the value of solubility product of AB `(K_(sp))=2xx10^(-10)` and the value of ionization constant of HB `(K_(a))=1xx10^(-8)`)

Explanation

`AB Leftrightarrow underset(x)(A^+) +underset(x-y)(B^-) , K_(sp) =x(x-y) =2 xx 10^(-10)`
`underset(x-y)(B^(-))+underset(10^(-3))(H^+) Leftrightarrow underset(y)(BH) 1/(K_(a))=(y)/((x-y).10^(-3))=10^(8), "cal.x"`