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NEET CHEMISTRYEasy

Which among the following has the maximum number of molecules?

A

7 g N₂

B

2 g H₂

C

16 g NO₂

D

16 g O₂

Step-by-Step Solution

  1. Identify the Principle: The number of molecules is directly proportional to the number of moles (nn). The formula to calculate moles is: n=Given Mass (g)Molar Mass (g/mol)n = \frac{\text{Given Mass (g)}}{\text{Molar Mass (g/mol)}} [Class 12 Chemistry, Ch 1, Example 1.1]
  2. Calculate moles for each option:
  • Option A (7 g N27\text{ g N}_2): Molar mass of N2=2×14=28 g/molN_2 = 2 \times 14 = 28\text{ g/mol}. n=728=0.25 moln = \frac{7}{28} = 0.25\text{ mol}
  • Option B (2 g H22\text{ g H}_2): Molar mass of H2=2×1=2 g/molH_2 = 2 \times 1 = 2\text{ g/mol}. n=22=1.0 moln = \frac{2}{2} = 1.0\text{ mol}
  • Option C (16 g NO216\text{ g NO}_2): Molar mass of NO2=14+(2×16)=46 g/molNO_2 = 14 + (2 \times 16) = 46\text{ g/mol}. n=16460.35 moln = \frac{16}{46} \approx 0.35\text{ mol}
  • Option D (16 g O216\text{ g O}_2): Molar mass of O2=2×16=32 g/molO_2 = 2 \times 16 = 32\text{ g/mol}. n=1632=0.5 moln = \frac{16}{32} = 0.5\text{ mol}
  1. Conclusion: Option B (2 g H22\text{ g H}_2) has the highest number of moles (1.0 mol1.0\text{ mol}), and thus the maximum number of molecules.
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