The density of `O_2` at NTP is 1.429g / litre. Calculatethe standard molar volume of gas-

Options

A. 22.4 lit.
B. 11.2 lit
C. 33.6 lit
D. 5.6 lit.

Explanation

To calculate the standard molar volume of oxygen gas (O₂) at NTP (Normal Temperature and Pressure), we can follow these steps:

### Step 1: Understand the given data
- Density of O₂ at NTP = 1.429 g/L
- Molar mass of O₂ = 32 g/mol (since the atomic mass of oxygen is 16 g/mol and O₂ has two oxygen atoms)

### Step 2: Use the formula for volume
The formula to calculate volume (V) when mass (m) and density (d) are known is:
\[ V = \frac{m}{d} \]

### Step 3: Substitute the values
We need to find the volume of 1 mole of O₂, which has a mass of 32 grams. Using the density provided:
- Mass (m) = 32 g
- Density (d) = 1.429 g/L

Substituting these values into the formula:
\[ V = \frac{32 \text{ g}}{1.429 \text{ g/L}} \]

### Step 4: Perform the calculation
Now, calculate the volume:
\[ V = \frac{32}{1.429} \approx 22.39 \text{ L} \]

### Step 5: Round off the answer
The standard molar volume of gas at NTP is approximately 22.4 L.

### Final Answer:
The standard molar volume of O₂ at NTP is approximately **22.4 liters**.

---