QJEEAdv18Chedb8: JEE Advanced 2018 Chemistry - Class 11 JEEAdv18Chedb8 Solution: The solubility of a salt of weak acid at is The value of is…

Question

Verified Solution • 2025–26 Session moderate

The solubility of a salt of weak acid

(AB)

at

pH\,

3

is

Y \times {10^{ - 3}}

mol\,{L^{ - 1}}.

The value of

Y

is ________________.

(Given that the value of solubility product of

AB

\left( {{K_{sp}}} \right) = 2 \times {10^{ - 10}}

and the value of ionization constant of

HB

\left( {{K_a}} \right) = 1 \times {10^{ - 8}}

)

Accepted Answer

Let solubility of AB in the buffer of pH 3 = x

JEE Advanced 2018 Paper 1 Offline Chemistry - Ionic Equilibrium Question 10 English Explanation

K₃ = ${{{K_{sp}}} \over {{K_a}}}$

${K_3} = {{[HB][{A^ + }]} \over {[{H^ + }]}} = {{{K_{sp}}} \over {{K_a}}}$

$\therefore$ ${{{x^2}} \over {({{10}^{ - 3}})}} = {{2 \times {{10}^{ - 10}}} \over {1 \times {{10}^{ - 8}}}}$

$\therefore$ x = 4.47 $\times$ 10^{$-$ 3} M = y $\times$ 10^{$-$ 3} M

$\therefore$ y = 4.47

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