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Question

Calculate the number of particles in 128 gm Sulphur ?

This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
$24.08 \times 10^{23}$

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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