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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Ionic Equilibrium

NTA Abhyas 2020 · Chemistry · Ionic Equilibrium

In 1 L saturated solution of AgCl[ K _ sp (AgCl) = 1.6 × 1 0 ^ - 10...

In 1 L saturated solution of AgCl[Ksp(AgCl)=1.6×10−10]\text{AgCl}\left[{K}_{\text{sp}}\left(\text{AgCl}\right) = 1.6 \times 1{0}^{- 10}\right] , 0.1 mol of CuCl[Ksp(CuCl)=1.0×10−6]\text{CuCl}\left[{K}_{\text{sp}}\left(\text{CuCl}\right) = 1.0 \times 1{0}^{- 6}\right] is added. The resultant concentration of Ag+\text{A}{\text{g}}^{+} in the solution is 1.6×10−x1.6 \times {10}^{- x} . The value of " xx " is

Correct answer

7

Step-by-step solution

Let the solubility of AgClAgCl is xx mol litre−1\text{litr}{\text{e}}^{- 1}

AgCl⇌Ag+x+Cl−x\text{AgCl} ⇌ \mathop{\text{A}{\text{g}}^{+}}_{x} + \mathop{\text{C}{\text{l}}^{-}}_{x}

And that of CuClCuCl is yy mol litre−1\text{litr}{\text{e}}^{- 1}

CuCl⇌Cu+y+Cl−y\text{CuCl} ⇌ \mathop{\text{C}{\text{u}}^{+}}_{y} + \mathop{\text{C}{\text{l}}^{-}}_{y}

Ksp{K}_{\text{sp}} of AgCl=[Ag+][Cl−1]\text{AgCl} = \left[\text{A}{\text{g}}^{+}\right]\left[\text{C}{\text{l}}^{- 1}\right]

1.6×10−10=x(x+y)1.6 \times 1{0}^{- 10} = x\left(x + y\right) ...(i)

Similarly Ksp{K}_{\text{sp}} of CuCl=[Cu+][Cl−]\text{CuCl} = \left[\text{C}{\text{u}}^{+}\right]\left[\text{C}{\text{l}}^{-}\right]

1.6×10−6=y(x+y)1.6 \times 1{0}^{- 6} = y\left(x + y\right) ...(ii)

On solving (i) and (ii)

\left[\text{A}{\text{g}}^{+}\right] = 1.6 \times 1{0}^{- 7}<br/><br/><br/><br/>x = 7
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