Sulphur Particle Calculation: Chemistry MCQ Solution
This solution explains how to calculate the number of particles in a given mass of Sulphur.
Step 1: Identify Given Information
- Mass of Sulphur = 128 gm
- Avogadro's Number ($N_A$) = $6.022 \times 10^{23}$ particles/mol
Step 2: Determine Molar Mass of Sulphur
The atomic mass of Sulphur (S) is approximately 32 gm/mol. We will use this value for calculation.
Step 3: Calculate Number of Moles
Use the formula:
$ \text{Number of Moles} = \frac{\text{Mass}}{\text{Molar Mass}} $
Calculation:
$ \text{Moles} = \frac{128 \text{ gm}}{32 \text{ gm/mol}} = 4 \text{ moles} $
Step 4: Calculate Number of Particles
Use the formula:
$ \text{Number of Particles} = \text{Number of Moles} \times N_A $
Calculation:
$ \text{Particles} = 4 \text{ moles} \times (6.022 \times 10^{23} \text{ particles/mol}) $
$ \text{Particles} = 24.088 \times 10^{23} \text{ particles} $
Conclusion
The calculated number of particles is approximately $24.088 \times 10^{23}$, which matches option B.
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