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What is the effect of increasing the concentration of sodium chloride on the solubility of silver chloride? Provide a detailed explanation, including calculations and graphs, to support your answer.

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The solubility of silver chloride  AgCl  in water is affected by the presence of other ions in the solution, such as sodium chloride  NaCl . This phenomenon can be explained using the common ion effect, which states that the solubility of a sparingly soluble salt decreases in the presence of a common ion.Silver chloride has low solubility in water and dissociates into silver ions  Ag  and chloride ions  Cl  according to the following equilibrium reaction:AgCl s   Ag aq  + Cl aq The solubility product constant  Ksp  for this reaction is given by:Ksp = [Ag][Cl]When sodium chloride is added to the solution, it dissociates completely into sodium ions  Na  and chloride ions  Cl :NaCl s   Na aq  + Cl aq As the concentration of sodium chloride increases, the concentration of chloride ions in the solution also increases. According to Le Chatelier's principle, the equilibrium will shift to counteract this change, in this case by shifting the AgCl equilibrium to the left  favoring the formation of solid AgCl . This results in a decrease in the solubility of silver chloride.To illustrate this effect, we can perform calculations using the solubility product constant for silver chloride  Ksp = 1.77 x 10  and the concentration of sodium chloride.Let's assume the initial concentration of sodium chloride is 0.1 M. The equilibrium concentrations of Ag and Cl ions can be represented as:[Ag] = x[Cl] = 0.1 + xSince Ksp = [Ag][Cl], we can substitute the equilibrium concentrations:1.77 x 10 = x 0.1 + x Solving for x, we find that x  1.76 x 10 M, which represents the solubility of AgCl in the presence of 0.1 M NaCl.Now, let's increase the concentration of sodium chloride to 0.5 M and repeat the calculation:[Ag] = x[Cl] = 0.5 + x1.77 x 10 = x 0.5 + x Solving for x, we find that x  3.53 x 10 M, which represents the solubility of AgCl in the presence of 0.5 M NaCl.As the calculations show, the solubility of silver chloride decreases as the concentration of sodium chloride increases.To represent this graphically, we can plot the solubility of AgCl  y-axis  against the concentration of NaCl  x-axis . The graph will show a downward trend, indicating that the solubility of AgCl decreases as the concentration of NaCl increases.

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