Number of hybrid orbital C atoms which have 33% p-character in `C(CN)_(4)`.

Answer

To determine the number of hybrid orbitals of carbon atoms that have 33% p-character in the compound C(CN)₄, we can follow these steps:

### Step 1: Identify the Hybridization of Carbon Atoms
- In the compound C(CN)₄, we have one central carbon atom (C) bonded to four cyanide groups (CN).
- Each CN group has a carbon atom that is involved in a triple bond with nitrogen.

### Step 2: Analyze the Hybridization of the Central Carbon Atom
- The central carbon atom is bonded to four cyanide groups.
- The steric number (SN) for the central carbon is calculated as follows:
- Number of sigma bonds: 4 (one from each CN bond)
- Number of lone pairs: 0
- Therefore, SN = 4 + 0 = 4.
- A steric number of 4 indicates that the hybridization of the central carbon atom is sp³.

### Step 3: Analyze the Hybridization of the Carbon Atoms in CN
- Each carbon atom in the CN group is involved in a triple bond with nitrogen.
- The steric number for each carbon in CN is:
- Number of sigma bonds: 1 (from the CN bond)
- Number of lone pairs: 0
- Therefore, SN = 1 + 0 = 1.
- A steric number of 1 indicates that the hybridization of each carbon atom in CN is sp.

### Step 4: Determine the p-Character of Each Hybridization
- The p-character for different hybridizations is as follows:
- sp hybridization: 50% s and 50% p
- sp² hybridization: 33% s and 67% p
- sp³ hybridization: 25% s and 75% p
- Since we are looking for carbon atoms with 33% p-character, we note that:
- sp hybridization has 50% p-character.
- sp² hybridization has 67% p-character.
- sp³ hybridization has 75% p-character.

### Step 5: Conclusion
- In the compound C(CN)₄, we have:
- The central carbon atom is sp³ hybridized (75% p-character).
- The carbon atoms in the cyanide groups are sp hybridized (50% p-character).
- Therefore, there are no carbon atoms with 33% p-character in C(CN)₄.

### Final Answer
- The number of hybrid orbitals of carbon atoms which have 33% p-character in C(CN)₄ is **0**.

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