The number of atoms in 3.4 moles of Fe are?

Explanation

To find the number of atoms in 3.4 moles of iron (Fe), we can follow these steps:

### Step 1: Understand the relationship between moles and atoms
1 mole of any substance contains Avogadro's number of particles (atoms, in this case), which is approximately \(6.02 \times 10^{23}\).

### Step 2: Calculate the number of atoms in 3.4 moles of Fe
To find the total number of atoms in 3.4 moles of iron, we multiply the number of moles by Avogadro's number:

\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]

Substituting the values:

\[ \text{Number of atoms} = 3.4 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

### Step 3: Perform the multiplication
Now, we calculate:

\[ \text{Number of atoms} = 3.4 \times 6.02 \times 10^{23} \]

Calculating \(3.4 \times 6.02\):

\[ 3.4 \times 6.02 = 20.468 \]

So, we have:

\[ \text{Number of atoms} = 20.468 \times 10^{23} \, \text{atoms} \]

### Step 4: Write the final answer in scientific notation
The final answer can be expressed in scientific notation as:

\[ \text{Number of atoms} = 2.0468 \times 10^{24} \, \text{atoms} \]

### Final Answer
The number of atoms in 3.4 moles of Fe is approximately \(2.0468 \times 10^{24}\) atoms.

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