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Exercise · Q30

Q.CrCl3.6H2O\text{CrCl}_3.6\text{H}_2\text{O} is known to exist as three different coloured compounds: [Cr(H2O)6]Cl3[\text{Cr}(\text{H}_2\text{O})_6]\text{Cl}_3 (violet), [Cr(H2O)5Cl]Cl2.H2O[\text{Cr}(\text{H}_2\text{O})_5\text{Cl}]\text{Cl}_2.\text{H}_2\text{O} (grey-green), and [Cr(H2O)4Cl2]Cl.2H2O[\text{Cr}(\text{H}_2\text{O})_4\text{Cl}_2]\text{Cl}.2\text{H}_2\text{O} (dark green). Name this type of isomerism, and state how many moles of AgCl\text{AgCl} each would precipitate with excess AgNO3\text{AgNO}_3.

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These three compounds all share the identical overall formula CrCl3.6H2O\text{CrCl}_3.6\text{H}_2\text{O} but differ in how many water molecules are coordinated directly to chromium (inside the coordination sphere) versus present as free water of crystallization, with a corresponding number of chloride ions moving between being coordinated and being free counter ions — this is hydrate isomerism (a specific case of ionization/solvate isomerism where water is the group exchanging places). In [Cr(H2O)6]Cl3[\text{Cr}(\text{H}_2\text{O})_6]\text{Cl}_3 (violet), all six water molecules are coordinated and all three chlorides are free, ionizable counter ions, so treatment with excess AgNO3\text{AgNO}_3 precipitates all three as AgCl\text{AgCl}: 3 mol AgCl. In [Cr(H2O)5Cl]Cl2.H2O[\text{Cr}(\text{H}_2\text{O})_5\text{Cl}]\text{Cl}_2.\text{H}_2\text{O} (grey-green), one water has been displaced from the coordination sphere by one chloride (which is now coordinated and non-ionizable), leaving only two chlorides free and one water molecule as water of crystallization: 2 mol AgCl. In $[\text{Cr}(\text{H}_2\text{O})_4\tex …

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