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 determine which statements are true for the complex \([Co(NH_3)_6][Cr(CN)_6]\), let's analyze each statement step by step.

### Step 1: Analyze the complex
The complex consists of two parts:
1. \([Co(NH_3)_6]^{3+}\) - a cobalt complex with ammonia ligands.
2. \([Cr(CN)_6]^{3-}\) - a chromium complex with cyanide ligands.

### Step 2: Determine the oxidation states
- For \([Co(NH_3)_6]^{3+}\):
- Ammonia (NH3) is a neutral ligand, so it does not contribute to the charge.
- Let the oxidation state of cobalt be \(x\).
- The overall charge is \(+3\).
- Therefore, \(x = +3\).

- For \([Cr(CN)_6]^{3-}\):
- Cyanide (CN) has a charge of \(-1\).
- Let the oxidation state of chromium be \(y\).
- The overall charge is \(-3\).
- Therefore, \(y - 6 = -3\) → \(y = +3\).

### Step 3: Evaluate each statement
1. **Statement (1): It is a non-electrolyte.**
- This statement is **false**. The complex can dissociate into ions in solution, making it an electrolyte.

2. **Statement (2): The magnitude of the charge on each complex is 3.**
- This statement is **true**. The charge on \([Co(NH_3)_6]^{3+}\) is \(+3\) and on \([Cr(CN)_6]^{3-}\) is \(-3\).

3. **Statement (3): The complex will not conduct current.**
- This statement is **false**. Since the complex dissociates into ions, it can conduct electricity.

4. **Statement (4): The complex will exhibit coordination isomerism.**
- This statement is **true**. Coordination isomerism can occur because the ligands can be exchanged between the two metal centers.

5. **Statement (5): The magnitude of the charge on each complex ion is 1.**
- This statement is **false**. As established, the charges are \(+3\) and \(-3\).

### Conclusion
The true statements are:
- Statement (2): The magnitude of the charge on each complex is 3.
- Statement (4): The complex will exhibit coordination isomerism.

### Final Answer
The correct statements are **(2) and (4)**.