The number of mole of nitrogen in one litre of air containing 10% nitrogen by volume, under standard conditions, is

Options

A. 0.03 mole
B. 2.10 moles
C. 0.186 mole
D. ` 4.46 x 10^(-3) "mole"`

Answer

To find the number of moles of nitrogen in one liter of air containing 10% nitrogen by volume under standard conditions, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Volume of Nitrogen:**
Since the air contains 10% nitrogen by volume, we can calculate the volume of nitrogen in 1 liter of air.
\[ \text{Volume of Nitrogen} = 10\% \text{ of } 1 \text{ L} = \frac{10}{100} \times 1 \text{ L} = 0.1 \text{ L} \]

2. **Use the Molar Volume of a Gas at STP:**
At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters. We can use this information to find the number of moles of nitrogen in 0.1 liters.
\[ \text{Moles of Nitrogen} = \frac{\text{Volume of Nitrogen}}{\text{Molar Volume at STP}} = \frac{0.1 \text{ L}}{22.4 \text{ L/mol}} \]

3. **Calculate the Number of Moles:**
Now, we can perform the calculation:
\[ \text{Moles of Nitrogen} = \frac{0.1}{22.4} \approx 0.0044643 \text{ moles} \]

4. **Final Result:**
Therefore, the number of moles of nitrogen in 1 liter of air containing 10% nitrogen by volume under standard conditions is approximately:
\[ \text{Moles of Nitrogen} \approx 0.00446 \text{ moles} \]