In the complex, potassium pentacyanonitrosylvandate (0), the number of potassium atoms per molecule and the coordination number of central metal ion are respectively

Options

A. 5,5
B. 4,6
C. 5,6
D. 4,4

Answer

To solve the question regarding the complex potassium pentacyanonitrosylvanadate (0), we will determine the number of potassium atoms per molecule and the coordination number of the central metal ion step by step.

### Step 1: Identify the components of the complex
The complex is potassium pentacyanonitrosylvanadate (0). This indicates that:
- The central metal ion is vanadium (V).
- There are five cyanide (CN) ligands and one nitrosyl (NO) ligand.

### Step 2: Write the formula for the complex
The formula can be represented as:
\[ K_x [V(CN)_5(NO)] \]
Where \( x \) is the number of potassium ions.

### Step 3: Determine the oxidation states
The overall charge of the complex is neutral (0). Therefore, we can set up the equation based on the oxidation states:
- Let the oxidation state of potassium be +1 (since it is a group 1 metal).
- The oxidation state of vanadium (V) in this complex is 0 (as indicated by the name).
- Each cyanide (CN) has an oxidation state of -1, and there are 5 of them, contributing a total of -5.
- The nitrosyl (NO) is neutral in this case, contributing 0.

### Step 4: Set up the equation
Now, we can write the equation based on the oxidation states:
\[ x + 0 + (-5) + 0 = 0 \]
This simplifies to:
\[ x - 5 = 0 \]

### Step 5: Solve for \( x \)
From the equation \( x - 5 = 0 \), we find:
\[ x = 5 \]
Thus, there are 5 potassium atoms per molecule of the complex.

### Step 6: Determine the coordination number
The coordination number is determined by the number of ligands attached to the central metal ion (vanadium in this case):
- There are 5 cyanide ligands and 1 nitrosyl ligand.
- Therefore, the total number of ligands is \( 5 + 1 = 6 \).

### Conclusion
The number of potassium atoms per molecule is 5, and the coordination number of the central metal ion (vanadium) is 6.

### Final Answer:
- Number of potassium atoms per molecule: **5**
- Coordination number of central metal ion: **6**