The number of atoms contained in 11.2 L of `SO_(2)` at S.T.P. are

Options

A. `3//2xx6.02xx10^(23)`
B. `2xx6.02xx10^(23)`
C. `6.02xx10^(23)`
D. `4xx6.02xx10^(23)`

Explanation

To find the number of atoms contained in 11.2 L of SO₂ at STP, we can follow these steps:

### Step 1: Understand the conditions
At Standard Temperature and Pressure (STP), 1 mole of any gas occupies 22.4 liters.

### Step 2: Calculate the number of moles of SO₂
We can calculate the number of moles of SO₂ in 11.2 L using the formula:

\[ \text{Number of moles} = \frac{\text{Volume of gas}}{\text{Molar volume at STP}} = \frac{11.2 \, \text{L}}{22.4 \, \text{L/mol}} = 0.5 \, \text{moles} \]

### Step 3: Determine the number of molecules in SO₂
The number of molecules in a given number of moles can be calculated using Avogadro's number (approximately \(6.02 \times 10^{23}\) molecules/mole):

\[ \text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number} = 0.5 \, \text{moles} \times 6.02 \times 10^{23} \, \text{molecules/mole} = 3.01 \times 10^{23} \, \text{molecules} \]

### Step 4: Calculate the number of atoms in SO₂
Each molecule of SO₂ contains 3 atoms (2 oxygen atoms and 1 sulfur atom). Therefore, to find the total number of atoms, we multiply the number of molecules by the number of atoms per molecule:

\[ \text{Number of atoms} = \text{Number of molecules} \times \text{Number of atoms per molecule} = 3.01 \times 10^{23} \, \text{molecules} \times 3 \, \text{atoms/molecule} = 9.03 \times 10^{23} \, \text{atoms} \]

### Final Answer
Thus, the number of atoms contained in 11.2 L of SO₂ at STP is:

\[ 9.03 \times 10^{23} \, \text{atoms} \]