In a silicon manufacturing unit, silicon is obtained by heating `100 kg `of pure sand with `45 kg` of high grade coke in an electric furnace. Write the balanced equation of the reaction.

Answer

To write the balanced equation for the reaction that occurs when silicon is obtained from sand (silicon dioxide) and high-grade coke (carbon), we can follow these steps:

### Step 1: Identify the Reactants and Products
- **Reactants**:
- Pure sand (SiO₂)
- High-grade coke (C)

- **Products**:
- Silicon (Si)
- Carbon monoxide (CO)

### Step 2: Write the Unbalanced Equation
The unbalanced chemical equation for the reaction can be written as:
\[ \text{SiO}_2 + \text{C} \rightarrow \text{Si} + \text{CO} \]

### Step 3: Balance the Equation
1. **Balance Silicon (Si)**:
- There is 1 Si atom on both sides, so silicon is balanced.

2. **Balance Oxygen (O)**:
- There are 2 oxygen atoms in SiO₂ on the left side. To balance the oxygen, we need 2 CO on the right side:
\[ \text{SiO}_2 + \text{C} \rightarrow \text{Si} + 2 \text{CO} \]

3. **Balance Carbon (C)**:
- Now, we have 2 carbon atoms on the right side (from 2 CO). We need to adjust the carbon on the left side:
\[ \text{SiO}_2 + 2 \text{C} \rightarrow \text{Si} + 2 \text{CO} \]

### Step 4: Write the Final Balanced Equation
The final balanced equation for the reaction is:
\[ \text{SiO}_2 + 2 \text{C} \rightarrow \text{Si} + 2 \text{CO} \]

### Summary of the Balanced Equation
- **Reactants**: 1 molecule of silicon dioxide and 2 molecules of carbon
- **Products**: 1 atom of silicon and 2 molecules of carbon monoxide