Which of the following has largest number of moles ?

Options

A. 8g of oxygen atoms
B. 16 g of oxygen gas
C. 14 g of nitrogen gas `(N_(2))`
D. All have same number of moles

Explanation

To determine which of the given substances has the largest number of moles, we can use the formula for calculating moles:

\[ n = \frac{\text{given weight}}{\text{molar mass}} \]

Let's calculate the number of moles for each substance provided in the question.

### Step 1: Calculate moles of oxygen atoms
- Given weight of oxygen atoms = 8 grams
- Molar mass of oxygen (O) = 16 g/mol

Using the formula:
\[ n = \frac{8 \text{ g}}{16 \text{ g/mol}} = 0.5 \text{ moles} \]

### Step 2: Calculate moles of oxygen gas (O₂)
- Given weight of oxygen gas = 16 grams
- Molar mass of oxygen gas (O₂) = 32 g/mol

Using the formula:
\[ n = \frac{16 \text{ g}}{32 \text{ g/mol}} = 0.5 \text{ moles} \]

### Step 3: Calculate moles of nitrogen gas (N₂)
- Given weight of nitrogen gas = 14 grams
- Molar mass of nitrogen gas (N₂) = 28 g/mol

Using the formula:
\[ n = \frac{14 \text{ g}}{28 \text{ g/mol}} = 0.5 \text{ moles} \]

### Conclusion
After calculating the moles for each substance:
- Moles of oxygen atoms = 0.5 moles
- Moles of oxygen gas = 0.5 moles
- Moles of nitrogen gas = 0.5 moles

Since all three substances have the same number of moles (0.5 moles), none of them has a larger number of moles than the others.

Thus, the answer is that all options have the same number of moles.