A given sample of sulphur contains 0.25 mol of sulphur molecules. The number of moles of sulphur atoms, number of sulphur molecules and number of sulphur atoms present in the given sample are respectively (Given: Atomic mass of S = 32u)
A
`6.023xx10^23` , 3 and `3.2xx10^(23)`
B
`2,3.2xx10^23` and `6.02xx10^23`
C
`2,1.5xx10^23` and `1.2xx10^24`
D
`1.2xx10^24 , 3.2xx10^23` and 2
Text Solution
AI Generated Solution
The correct Answer is:
To solve the problem, we need to find the number of moles of sulfur atoms, the number of sulfur molecules, and the number of sulfur atoms present in a sample containing 0.25 moles of sulfur molecules (S₈).
### Step-by-Step Solution:
1. **Identify the form of sulfur**:
Sulfur exists as S₈ molecules. This means that each molecule of sulfur contains 8 sulfur atoms.
2. **Calculate the number of moles of sulfur atoms**:
- Since 1 mole of S₈ contains 8 moles of sulfur atoms, we can calculate the moles of sulfur atoms in 0.25 moles of S₈.
- Moles of sulfur atoms = 0.25 moles of S₈ × 8 = 2 moles of sulfur atoms.
3. **Calculate the number of sulfur molecules**:
- The number of sulfur molecules is simply the amount given in the problem, which is 0.25 moles of S₈.
- Therefore, the number of sulfur molecules = 0.25 moles of S₈.
4. **Calculate the number of sulfur atoms**:
- To find the total number of sulfur atoms, we use Avogadro's number, which is approximately \(6.02 \times 10^{23}\) molecules per mole.
- The number of sulfur atoms = moles of sulfur atoms × Avogadro's number.
- Number of sulfur atoms = 2 moles × \(6.02 \times 10^{23}\) atoms/mole = \(1.204 \times 10^{24}\) sulfur atoms.
### Summary of Results:
- Number of moles of sulfur atoms: **2 moles**
- Number of sulfur molecules: **0.25 moles**
- Number of sulfur atoms: **\(1.204 \times 10^{24}\) atoms**
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