Which among the following statement are true for the complex
`[Co(NH_(3))_(6)][Cr(CN)_(6)]`?
(1) It is a non electrolyte
(2) The magnitude of the charge on each complex in is 3
(3) the complex will not conduct current.
(4) The complex will exhibit coordination isomerism
(5) The magnitude of the charge on each complex ion is 1

Options

A. 1 and 2
B. 1 and 3
C. 2 and 4
D. 3 and 5

Answer

To solve the question regarding the complex \([Co(NH_3)_6][Cr(CN)_6]\), we will analyze each statement provided and determine their validity step by step.

### Step 1: Analyze the complex
The complex given is \([Co(NH_3)_6][Cr(CN)_6]\). It consists of two coordination complexes: one with cobalt and the other with chromium.

### Step 2: Determine the oxidation states
1. **Cobalt complex**:
- The ligand \(NH_3\) is neutral, so the oxidation state of cobalt can be calculated as follows:
\[ x + 6(0) = +3 \quad \text{(where x is the oxidation state of Co)} \]
- Thus, the oxidation state of cobalt is \(+3\).

2. **Chromium complex**:
- The ligand \(CN^-\) has a charge of \(-1\). Therefore, for the chromium complex:
\[ y + 6(-1) = 0 \quad \text{(where y is the oxidation state of Cr)} \]
- Solving gives:
\[ y - 6 = 0 \implies y = +6 \]
- Thus, the oxidation state of chromium is \(+6\).

### Step 3: Determine the overall charge of the complex
- The overall charge of the complex is the sum of the charges from both coordination spheres:
- Cobalt complex: \(+3\)
- Chromium complex: \(0\) (since it is neutral)

Thus, the overall charge of the complex is \(+3\).

### Step 4: Evaluate each statement
1. **Statement (1)**: It is a non-electrolyte.
- **False**: The complex can dissociate into ions, so it is an electrolyte.

2. **Statement (2)**: The magnitude of the charge on each complex is \(3\).
- **True**: The cobalt complex has a charge of \(+3\).

3. **Statement (3)**: The complex will not conduct current.
- **False**: Since it can dissociate into ions, it can conduct electricity.

4. **Statement (4)**: The complex will exhibit coordination isomerism.
- **True**: The two coordination spheres can interchange ligands, allowing for isomerism.

5. **Statement (5)**: The magnitude of the charge on each complex ion is \(1\).
- **False**: The charge is \(3\) for the cobalt complex.

### Conclusion
The true statements are (2) and (4). Therefore, the answer is:
**Correct options: (2) and (4)**.