Carbon-60 contains_____pentagons and _____hexagons.

Options

A. 20,12
B. 12,20
C. 30,30
D. 24,36

Answer

To solve the question regarding the structure of Carbon-60 (C60), also known as Buckminsterfullerene, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Structure of Carbon-60**:
Carbon-60 is a molecule that consists of 60 carbon atoms arranged in a specific geometric shape. It is commonly referred to as Buckminsterfullerene.

**Hint**: Remember that Buckminsterfullerene is named after an architect whose designs resemble its structure.

2. **Understand the Geometric Arrangement**:
The arrangement of carbon atoms in C60 forms a structure that resembles a soccer ball. This structure is known as a truncated icosahedron.

**Hint**: Visualize a soccer ball to help understand the arrangement of pentagons and hexagons.

3. **Count the Types of Faces**:
In the structure of Buckminsterfullerene, the carbon atoms are arranged into two types of polygons: pentagons and hexagons.

4. **Determine the Number of Pentagons and Hexagons**:
- It is known that there are **12 pentagons** in the structure.
- There are also **20 hexagons** in the structure.

**Hint**: Recall that in polyhedral structures like this, pentagons and hexagons are arranged in a specific way to maintain the overall shape.

5. **Final Answer**:
Therefore, Carbon-60 contains **12 pentagons and 20 hexagons**.

### Summary of the Answer:
Carbon-60 contains **12 pentagons** and **20 hexagons**.