Question

A precipitate of $AgCl$ is formed when equal volumes of the following are mixed $[K_{sp}forAgCl={10}^{-10}]$

• A. ${10}^{-4}MAgN{O}_3$ and ${10}^{-7}MHCl$
• B. ${10}^{-5}MAgN{O}_3$ and ${10}^{-6}MHCl$
• C. ${10}^{-5}MAgN{O}_3$ and ${10}^{-4}MHCl$
• D. ${10}^{-6}MAgN{O}_3$ and ${10}^{-6}MHCl$

Answer 1

Answer: (C)

${10}^{-5}MAgN{O}_3$ and ${10}^{-4}MHCl$

A precipitate of AgCl is formed when equal volumes of ${10}^{-5}MAgN{O}_3$ and ${10}^{-4}MHCl$ are mixed.

$\left[A{g}^{+}\right]=\left[AgN{O}_3\right]=\frac{{10}^{-4}}{2}M$
$\left[C{l}^{-}\right]=\left[HCl\right]=\frac{{10}^{-4}}{2}M$
$Q_{sp}=\left[A{g}^{+}\right]\left[C{l}^{-}\right]=2.5\times {10}^{-9}$

$K_{sp}={10}^{-10}$

$Q_{sp}>K_{sp}$
Hence, precipitation will occur.