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It is said that the hydronium ion concentration of an ampholyte is virtually independent of the concentration of the ampholyte solution, and is given, approximately

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It is said that the hydronium ion concentration of an ampholyte is virtually independent of the concentration of the ampholyte solution, and is given, approximately by [H3O+]=KwKbKa. A solution of ammonium cyanide is an ampholyte, the relevant chemical equations being: CN(aq)+H2Om=OH(aq)+HCN(aq):Kb=Ka(HCN)Kw2H2O0)=H3O+(aq)+OH(aq):Kww=1.001014withKb(NH3)=1.76105andKa(HCN)=6.21010 From the equilibrium reactions for this ampholyte solution of concentration Csalt Molar, together with the Material (Mass) Balance and Charge Balance equations for such a solution, derive an expression for the [OH(aq) in solution. Use an appropriate iteration method to determine the values of [OH(aq)] for concentrations of Csalt[NH4+CN]of (i) 0.50M and (ii) 1.0103M, and verify that the pH of the solutions are really independent of the concentration of the ampholyte

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