In diamond, the number of free electrons are:

Options

A. 1
B. 2
C. 0
D. 4

Answer

To determine the number of free electrons in diamond, we can follow these steps:

### Step 1: Understand the Structure of Diamond
Diamond is a form of carbon where each carbon atom is bonded to four other carbon atoms in a three-dimensional (3D) network. This structure is known as a giant covalent lattice.

**Hint:** Recall that diamond is a crystalline form of carbon with a specific bonding arrangement.

### Step 2: Identify the Valency of Carbon
Carbon has a valency of 4, meaning it can form four covalent bonds with other atoms. In diamond, each carbon atom forms four strong covalent bonds with four neighboring carbon atoms.

**Hint:** Remember that valency indicates the number of bonds an atom can form.

### Step 3: Analyze the Presence of Free Electrons
In diamond, all four valence electrons of each carbon atom are involved in bonding with other carbon atoms. This means that there are no free electrons available for electrical conduction.

**Hint:** Consider how electrons are utilized in bonding versus being free to move.

### Step 4: Conclusion
Since all the electrons in diamond are involved in covalent bonds and there are no unbonded or free electrons, the number of free electrons in diamond is zero.

**Final Answer:** The number of free electrons in diamond is **0**.

### Summary of Steps:
1. Understand diamond's 3D network structure.
2. Identify carbon's valency.
3. Analyze the bonding and presence of free electrons.
4. Conclude that the number of free electrons is zero.