What is the molarity of NaCl in which AgCl has a molar solubility of 2.38 x 10-9 mol /L? The Ksp for Silver Chloride is: 1.83 x 10-10.

Respuesta :

Answer:

The concentration of this NaCl solution is 0.0769M

Explanation:

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In this case, since we are dealing with a solubility equilibrium in which it is desired to compute the concentration of a common-ion effect to chloride solution in the form of NaCl, we can set up the equilibrium reaction and expression:

[tex]AgCl(s)\rightleftharpoons Ag^+(aq)+Cl^-(aq)\\\\Ksp=[Ag^+][Cl^-]\\[/tex]

It is possible to insert the concentration of starting chloride ions provided by the ionization of NaCl and in terms of the molar solubility, s, equal to 2.38x10^{-9}M:

[tex]Ksp=(s)(C+s)\\\\1.83x10^{-10}=(2.38x10^{-9})(M+2.38x10^{-9})[/tex]

Thus, solving for M, we obtain:

[tex]\frac{1.83x10^{-10}}{2.38x10^{-9}} =M+2.38x10^{-9}\\\\M=\frac{1.83x10^{-10}}{2.38x10^{-9}} -2.38x10^{-9}\\\\M=0.0769M[/tex]

Thus, the concentration of this NaCl solution is 0.0769M.

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