The number of sulphur atoms present in 0.2 moles of `S_(8)` molecules is

Options

A. `4.82xx10^(23)`
B. `9.63xx10^(22)`
C. `9.63xx10^(23)`
D. `1.20xx10^(23)`

Answer

To find the number of sulfur atoms present in 0.2 moles of \( S_8 \) molecules, we can follow these steps:

### Step 1: Calculate the total number of \( S_8 \) molecules
To find the total number of \( S_8 \) molecules in 0.2 moles, we use Avogadro's number, which is approximately \( 6.022 \times 10^{23} \) molecules/mole.

\[ \text{Total molecules of } S_8 = \text{Number of moles} \times \text{Avogadro's number} \]
\[ \text{Total molecules of } S_8 = 0.2 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole} \]
\[ \text{Total molecules of } S_8 = 1.2044 \times 10^{23} \, \text{molecules} \]

### Step 2: Calculate the total number of sulfur atoms
Each \( S_8 \) molecule contains 8 sulfur atoms. Therefore, to find the total number of sulfur atoms, we multiply the total number of \( S_8 \) molecules by 8.

\[ \text{Total sulfur atoms} = \text{Total molecules of } S_8 \times 8 \]
\[ \text{Total sulfur atoms} = 1.2044 \times 10^{23} \, \text{molecules} \times 8 \]
\[ \text{Total sulfur atoms} = 9.6352 \times 10^{23} \, \text{atoms} \]

### Final Answer
The number of sulfur atoms present in 0.2 moles of \( S_8 \) molecules is approximately \( 9.64 \times 10^{23} \) atoms.

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