The number of atoms in 11.5 moles of Fe are?

Options

A. 69.23×`10^23`
B. 4.4×`10^23`
C. 14.4×`10^23`
D. 63.8×`10^23`

Explanation

To find the number of atoms in 11.5 moles of iron (Fe), we can follow these steps:

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

### Step 2: Identify the number of moles
In this case, we are given that we have 11.5 moles of iron.

### Step 3: Calculate the number of atoms
To find the total number of atoms in 11.5 moles of iron, we use the formula:
\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]
Substituting the values we have:
\[ \text{Number of atoms} = 11.5 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

### Step 4: Perform the multiplication
Now, we calculate:
\[ \text{Number of atoms} = 11.5 \times 6.02 \times 10^{23} \]
Calculating this gives:
\[ \text{Number of atoms} = 69.23 \times 10^{23} \text{ atoms} \]

### Step 5: Final result
Thus, the number of atoms in 11.5 moles of iron is:
\[ 69.23 \times 10^{23} \text{ atoms} \]