The number of mole of N - atom in `18.066 x 10 ^(23)` nitrogen atoms is

Options

A. 1 mol
B. 2 mol
C. 3 mol
D. 4 mol

Answer

To find the number of moles of nitrogen atoms in \( 18.066 \times 10^{23} \) nitrogen atoms, we can follow these steps:

### Step 1: Understand the concept of a mole
A mole is defined as the amount of substance that contains \( 6.022 \times 10^{23} \) particles (atoms, molecules, etc.). This number is known as Avogadro's number.

### Step 2: Set up the relationship
We know that:
- 1 mole of nitrogen atoms = \( 6.022 \times 10^{23} \) nitrogen atoms.

### Step 3: Use the unitary method
To find the number of moles in \( 18.066 \times 10^{23} \) nitrogen atoms, we can set up the following equation:
\[ \text{Number of moles} = \frac{\text{Number of nitrogen atoms}}{\text{Avogadro's number}} = \frac{18.066 \times 10^{23}}{6.022 \times 10^{23}} \]

### Step 4: Perform the calculation
Now, we can simplify the calculation:
\[ \text{Number of moles} = \frac{18.066}{6.022} \approx 3 \]

### Step 5: Conclusion
Thus, the number of moles of nitrogen atoms in \( 18.066 \times 10^{23} \) nitrogen atoms is approximately 3 moles.