How many molecules are present in 3 moles of ethane?

Options

A. `11xx6.022xx10^(23)`
B. 3
C. `3xx6.022xx10^(23)`
D. `3xx8xxx6.022xx10^(23)`

Explanation

To find out how many molecules are present in 3 moles of ethane (C2H6), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the concept of a mole**:
- A mole is a unit used to measure the amount of a substance. One mole of any substance contains approximately \(6.022 \times 10^{23}\) particles (atoms, molecules, etc.). This number is known as Avogadro's number.

2. **Identify the number of moles**:
- In this case, we have 3 moles of ethane (C2H6).

3. **Calculate the number of molecules in 3 moles**:
- To find the total number of molecules in 3 moles, we multiply the number of moles by Avogadro's number:
\[ \text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number} \]
\[ \text{Number of molecules} = 3 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole} \]

4. **Perform the multiplication**:
\[ \text{Number of molecules} = 3 \times 6.022 \times 10^{23} = 18.066 \times 10^{23} \]
- This can be expressed in scientific notation as:
\[ \text{Number of molecules} = 1.8066 \times 10^{24} \, \text{molecules} \]

5. **Final Answer**:
- Therefore, the number of molecules present in 3 moles of ethane is approximately \(1.8066 \times 10^{24}\) molecules.