Pure AgCl ( s ) is added to (i) 0.01 M AgNO 3 solution (ii) 0.025 M KCl solution and both suspensions are shaken well. What is the approximate ratio of the [ Cl − ] in the first solution to the [ Ag

Question

Pure AgCl ( s ) is added to (i) 0.01 M AgNO 3 ​ solution (ii) 0.025 M KCl solution and both suspensions are shaken well. What is the approximate ratio of the [ Cl − ] in the first solution to the [ Ag + ] in the second solution?

TestHub · Accepted Answer

Concentration of Cl⁻ in a solution when pure AgCl(s) is added to 0.01 M AgNO₃ is given by:

$[C l^{-}] = \frac{K _{s p}}{[ A g ^{+} ]} = \frac{K _{s p}}{0.01}$

Similarly, the concentration of Ag⁺ in the second solution when pure AgCl(s) is added to 0.025 M KCl is given by:

$[A g^{+}] = \frac{K _{s p}}{[ C l ^{-} ]} = \frac{K _{s p}}{0.025}$ The ratio of [Cl⁻] in the first solution to [Ag⁺] in the second solution is given by:

$\frac{[ C l ^{-} ] _{1}}{[ A g ^{+} ] _{2}} = \frac{\frac{K _{s p}}{0.01}}{\frac{K _{s p}}{0.025}} = \frac{0.025}{0.01} = 2.5$

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