The number of atoms in 7.4 moles of Fe are?

Options

A. 4.4×`10^23`
B. 44.5×`10^23`
C. 34.4×`10^23`
D. None

Explanation

To find the number of atoms in 7.4 moles of iron (Fe), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the concept of a mole**:
- One mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.), which is approximately \(6.02 \times 10^{23}\).

2. **Identify the number of moles**:
- In this case, we are given 7.4 moles of iron (Fe).

3. **Calculate the number of atoms**:
- To find the total number of atoms in 7.4 moles of iron, we multiply the number of moles by Avogadro's number:
\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]
\[ \text{Number of atoms} = 7.4 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

4. **Perform the multiplication**:
- Calculate the product:
\[ \text{Number of atoms} = 7.4 \times 6.02 \times 10^{23} \]
- This gives:
\[ \text{Number of atoms} = 44.548 \times 10^{23} \, \text{atoms} \]

5. **Express in scientific notation**:
- To express this in standard scientific notation:
\[ \text{Number of atoms} \approx 4.4548 \times 10^{24} \, \text{atoms} \]

### Final Answer:
The number of atoms in 7.4 moles of iron is approximately \(4.45 \times 10^{24}\) atoms.