Select the correct statement for the complexes
`[Cr(H_(2)O)_(6)]Cl_(3) and [Cr(H_(2)O)_(5)Cl]Cl_(2). H_(2)O`

Options

A. There can be differentiated by amount nature and colour of ppt formed
B. There can be diffrentiated by electrical conducting measurement method.
C. There can be diffrentiated by heating with conc. `H_(2)SO_(4)`.
D. All of these

Answer

To solve the question regarding the complexes \([Cr(H_2O)_6]Cl_3\) and \([Cr(H_2O)_5Cl]Cl_2 \cdot H_2O\), we will analyze their properties and characteristics step by step.

### Step 1: Identify the Coordination Number and Oxidation State
- For both complexes, we need to determine the coordination number and oxidation state of chromium.
- In \([Cr(H_2O)_6]Cl_3\):
- Coordination number = 6 (from 6 water molecules).
- Oxidation state of chromium: Let it be \(x\). The total charge from 3 chloride ions is \(-3\), and water is neutral. Thus, \(x - 3 = 0 \Rightarrow x = +3\).

- In \([Cr(H_2O)_5Cl]Cl_2 \cdot H_2O\):
- Coordination number = 6 (from 5 water molecules and 1 chloride ion).
- Oxidation state of chromium: Let it be \(y\). The total charge from 2 chloride ions is \(-2\). Thus, \(y - 2 = 0 \Rightarrow y = +3\).

### Step 2: Identify the Types of Isomers
- The two complexes are hydration isomers.
- In \([Cr(H_2O)_6]Cl_3\), all ligands are water, while in \([Cr(H_2O)_5Cl]Cl_2 \cdot H_2O\), one ligand is chloride and one water molecule is outside the coordination sphere.

### Step 3: Analyze the Behavior with Silver Nitrate (AgNO3)
- When treated with AgNO3:
- \([Cr(H_2O)_6]Cl_3\) will require 3 moles of AgNO3 to precipitate all 3 chloride ions.
- \([Cr(H_2O)_5Cl]Cl_2 \cdot H_2O\) will require only 2 moles of AgNO3 to precipitate 2 chloride ions, as one chloride is already coordinated.

### Step 4: Compare Conductivity and Other Properties
- The electrical conductivity of both complexes will be different due to the different number of chloride ions released into the solution.
- The first complex releases 3 chloride ions, while the second releases only 2.

### Conclusion
- The correct statement for the complexes is that they can be differentiated based on the number of moles of AgNO3 required to precipitate the chloride ions and their different colors due to the different amounts of precipitate formed.

### Final Answer
The correct statement for the complexes \([Cr(H_2O)_6]Cl_3\) and \([Cr(H_2O)_5Cl]Cl_2 \cdot H_2O\) is that they are hydration isomers and can be differentiated by the number of moles of AgNO3 required for precipitation.

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