The number of atoms in 2.4 moles of Fe are?

Options

A. 14.4×`10^23`
B. 44.4×`10^23`
C. 69.23×`10^23`
D. 63.8×`10^23`

Explanation

To find the number of atoms in 2.4 moles of iron (Fe), we can follow these steps:

### Step-by-Step Solution:

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

2. **Identify the number of moles**:
- In this problem, we have 2.4 moles of iron.

3. **Calculate the number of atoms**:
- To find the total number of atoms in 2.4 moles of iron, we multiply the number of moles by Avogadro's number:
\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]
\[ \text{Number of atoms} = 2.4 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

4. **Perform the multiplication**:
- Calculate:
\[ 2.4 \times 6.02 \approx 14.448 \]
- Therefore, the total number of atoms is:
\[ 14.448 \times 10^{23} \, \text{atoms} \]

5. **Express the final answer**:
- We can round this to:
\[ 14.4 \times 10^{23} \, \text{atoms} \]

### Final Answer:
The number of atoms in 2.4 moles of iron is \(14.4 \times 10^{23}\) atoms.

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