The number of atoms in 9.4 moles of Fe are?

Options

A. 56.58×`10^23`
B. 4.4×`10^23`
C. 54.4×`10^23`
D. 34.4×`10^23`

Explanation

To find the number of atoms in 9.4 moles of iron (Fe), we can follow these steps:

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

### Step 2: Identify the number of moles
- Here, we have 9.4 moles of iron.

### Step 3: Use Avogadro's number
- To find the total number of atoms in 9.4 moles of iron, we multiply the number of moles by Avogadro's number:
\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]
\[ \text{Number of atoms} = 9.4 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

### Step 4: Perform the multiplication
- Now, we calculate:
\[ \text{Number of atoms} = 9.4 \times 6.02 \times 10^{23} \]
\[ \text{Number of atoms} \approx 56.588 \times 10^{23} \]

### Step 5: Express in scientific notation
- We can express this in a more standard form:
\[ \text{Number of atoms} \approx 5.6588 \times 10^{24} \, \text{atoms} \]

### Final Answer:
- The number of atoms in 9.4 moles of iron is approximately \( 5.6588 \times 10^{24} \, \text{atoms} \).

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