The number of moles of nitrogen atom in 56 g nitrogen is

Options

A. 2 mol
B. 4 mol
C. 8 mol
D. 10 mol

Answer

To find the number of moles of nitrogen atoms in 56 g of nitrogen, we can follow these steps:

### Step 1: Identify the given weight of nitrogen
The weight of nitrogen provided in the question is 56 grams.

### Step 2: Determine the molar mass of nitrogen
The molar mass (molecular weight) of nitrogen (N2) is approximately 28 grams per mole. This is because nitrogen exists as a diatomic molecule (N2), and each nitrogen atom has a molar mass of about 14 grams per mole. Therefore, for N2:
\[ \text{Molar mass of N2} = 14 \, \text{g/mol} \times 2 = 28 \, \text{g/mol} \]

### Step 3: Use the formula to calculate the number of moles
The formula to calculate the number of moles (\( n \)) is:
\[ n = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \]

Substituting the values we have:
\[ n = \frac{56 \, \text{g}}{28 \, \text{g/mol}} \]

### Step 4: Perform the calculation
Now, we calculate the number of moles:
\[ n = \frac{56}{28} = 2 \, \text{moles of N2} \]

### Step 5: Calculate the number of moles of nitrogen atoms
Since each molecule of nitrogen gas (N2) contains 2 nitrogen atoms, the number of moles of nitrogen atoms will be:
\[ \text{Number of moles of nitrogen atoms} = 2 \, \text{moles of N2} \times 2 \, \text{(atoms per molecule)} = 4 \, \text{moles of N atoms} \]

### Final Answer
The number of moles of nitrogen atoms in 56 g of nitrogen is **4 moles**.

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