The solubility of a salt of weak acid $AB$ at $pH3$ is $Y \times 10^{-3}$ mol $L^{-1}$. The value of $Y$ is…

The solubility of a salt of weak acid $AB$ at $pH3$ is $Y \times 10^{-3}$ mol $L^{-1}$. The value of $Y$ is ____. (Given that the value of solubility product of $AB$, $K_{sp}$, is $2 \times 10^{-10}$, and the value of ionization constant of $HB$, $Ka$, is $1 \times 10^{-8}$)

Solution

S=KspH+Ka+1=2×10-1010-310-8+12×10-5
=4.47×10-3M.

Asked in: JEE Advanced 2018 (Paper 1)

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