Question

ln 1 L saturated solution of $AgCl$ $\left[K_{sp}\right(AgCl)=1.6\times {10}^{-10}]$, 0.1 mol of $CuCl$ $\left[K_{sp}\right(CuCl)=1\times {10}^{-6}]$ is added. The resultant concentration of $A{g}^{+}$ in the solution is $1.6\times {10}^{-x}$. The value of $x$ is:

• A. 7
• B. 8
• C. 9
• D. 10

Answer 1

Answer: (A)

7

For $CuCl$ solution, $K_{sp}=\left[C{u}^{+}\right]\left[C{l}^{-}\right]=[C{l}^{-}{]}^2={10}^{-6}$

Hence, $\left[C{l}^{-}\right]={10}^{-3}$ .

For $AgCl$ solution, $K_{sp}=\left[A{g}^{+}\right]\left[C{l}^{-}\right]=\left[A{g}^{+}\right]\times {10}^{-3}=1.6\times {10}^{-10}$

Hence, $\left[A{g}^{+}\right]=\frac{1.6\times {10}^{-10}}{{10}^{-3}}=1.6\times {10}^{-7}=1.6\times {10}^{-x}$

Thus, $x=7$.