4.4 g of an unknown gas occupies 2.24 L of volume at standard temperature and pressure, The gas may be

Options

A. Carbon dioxide
B. Carbon monoxide
C. Oxygen
D. Sulphur dioxide

Explanation

To determine the identity of the unknown gas, we will follow these steps:

### Step 1: Understand the conditions at STP
At standard temperature and pressure (STP), 1 mole of any ideal gas occupies 22.4 liters.

### Step 2: Calculate the number of moles of the unknown gas
Given that the unknown gas occupies 2.24 liters, we can calculate the number of moles using the formula:

\[ \text{Number of moles} = \frac{\text{Volume of gas (L)}}{22.4 \text{ L/mol}} \]

Substituting the values:

\[ \text{Number of moles} = \frac{2.24 \text{ L}}{22.4 \text{ L/mol}} = 0.1 \text{ moles} \]

### Step 3: Calculate the molar mass of the gas
We know the mass of the gas is 4.4 grams. The molar mass can be calculated using the formula:

\[ \text{Molar mass} = \frac{\text{Mass of gas (g)}}{\text{Number of moles}} \]

Substituting the values:

\[ \text{Molar mass} = \frac{4.4 \text{ g}}{0.1 \text{ moles}} = 44 \text{ g/mol} \]

### Step 4: Compare the molar mass with the known gases
Now, we will compare the calculated molar mass (44 g/mol) with the molar masses of the given gases:

1. **Carbon Dioxide (CO₂)**:
- Molar mass = 12 (C) + 2 × 16 (O) = 44 g/mol
2. **Carbon Monoxide (CO)**:
- Molar mass = 12 (C) + 16 (O) = 28 g/mol
3. **Oxygen (O₂)**:
- Molar mass = 2 × 16 (O) = 32 g/mol
4. **Sulfur Dioxide (SO₂)**:
- Molar mass = 32 (S) + 2 × 16 (O) = 64 g/mol

### Step 5: Identify the unknown gas
The only gas that has a molar mass of 44 g/mol is Carbon Dioxide (CO₂).

### Conclusion
Therefore, the unknown gas is Carbon Dioxide (CO₂).

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