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STD 11 - 6.2. Equilibrium - II (icon Equilibrium) — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 6.2. Equilibrium - II (icon Equilibrium)4 Marks
MCQ
The moles of $Ag^+$ which must be added to decrease the concentration of $Cl^-$ from $4 × 10^{-5}$ $M$ to $10^{-5}\,M$ in $100$ $ml$ solution, if $K_{sp}$ for $AgCl$ is $10^{-10}\,M^2$ at $25\,^oC$
  • A
    $4 × 10^{-5}$ $mole$
  • B
    $2 × 10^{-5}$ $mole$
  • C
    $3 × 10^{-6}$ $mole$ 
  • ✓
    $4 × 10^{-6}$ $mole$
✓

Answer

Correct option: D.
$4 × 10^{-6}$ $mole$
d
$\mathop {AgCl(s)}\limits_y  \leftrightarrow \mathop {A{g^ + }(aq.)}\limits_{x - y}  + \mathop {C{l^ - }(aq.)}\limits_{4 \times {{10}^{ - 5}} - y} $

$4 \times 10^{-5}-y=10^{-5}$

$y=3 \times 10^{-5}$

$(x-y)\left(4 \times 10^{-5}-y\right)=10^{-10}$

$(x-y)\left(10^{-3}\right)=10^{-10}$

$x-y=10^{-5}$

$x-3 \times 10^{-5}=10^{-5}$

$x=4 \times 10^{-5}$

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