MCQ
The solubility of a salt of weak acid $( A B )$ at $pH 3$ is $Y \times 10^{-3} mol L ^{-1}$. The value of $Y$ is

. . . . . (Given that the value of solubility product of $A B \left( K _{ sp }\right)=2 \times 10^{-10}$ and the value of ionization constant of $H B \left( K _{ a }\right)=1 \times 10^{-8}$ )

  • $4.47$
  • B
    $4.48$
  • C
    $4.49$
  • D
    $4.50$

Answer

Correct option: A.
$4.47$
a
Solubility $=\sqrt{ K _{ sp }\left(1+\frac{\left[ n ^{+}\right]}{ Ka }\right)}$

$Y \times 10^{-3}  =\sqrt{2 \times 10^{-10}\left(1+\frac{10^{-3}}{10^{-8}}\right)}=\sqrt{2 \times 10^{-5}}$

$Y \times 10^{-3}  =\sqrt{20 \times 10^{-6}}=\sqrt{20} \times 10^{-3}$

$Y  =\sqrt{20}=4.47$

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