The number of atoms in 3.4mole of Na are?

Options

A. 20.46 x `10^23`
B. 25 x `10^23`
C. 23.68 x `10^23`
D. 22 x `10^23`

Explanation

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

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

### Step 2: Set up the calculation
To find the number of atoms in 3.4 moles of sodium, we can use the formula:
\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \]
In this case:
\[ \text{Number of atoms} = 3.4 \, \text{moles} \times 6.02 \times 10^{23} \, \text{atoms/mole} \]

### Step 3: Perform the multiplication
Now, we multiply:
\[ 3.4 \times 6.02 \times 10^{23} \]

Calculating \(3.4 \times 6.02\):
\[ 3.4 \times 6.02 = 20.468 \]

Now, we can express the total number of atoms:
\[ \text{Number of atoms} = 20.468 \times 10^{23} \]

### Step 4: Write the final answer
Thus, the number of atoms in 3.4 moles of sodium is:
\[ 20.468 \times 10^{23} \text{ atoms} \]