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NEET CHEMISTRYEasy

Which of the following contains the maximum number of atoms?

A

1 g of Mg(s)

B

1 g of O₂ (g)

C

1 g of Li(s)

D

1 g of Ag(s)

Step-by-Step Solution

  1. Principle: The number of atoms (NN) in a given mass (ww) of a substance is calculated using the mole concept: N=Moles×NA×AtomicityN = \text{Moles} \times N_A \times \text{Atomicity} N=wMolar Mass×NA×AtomicityN = \frac{w}{\text{Molar Mass}} \times N_A \times \text{Atomicity} Since the mass (ww) is constant (1 g) for all options, the number of atoms is inversely proportional to the atomic mass (or effective mass per atom).

  2. Calculations (using approximate atomic masses):

  • Option A (Mg): Atomic mass 24\approx 24 g/mol. NMg=124×1×NA0.04NAN_{Mg} = \frac{1}{24} \times 1 \times N_A \approx 0.04 N_A
  • Option B (O2O_2): Molecular mass = 32 g/mol. Atomicity = 2. NO=132×2×NA=116NA0.06NAN_{O} = \frac{1}{32} \times 2 \times N_A = \frac{1}{16} N_A \approx 0.06 N_A
  • Option C (Li): Atomic mass 7\approx 7 g/mol. NLi=17×1×NA0.14NAN_{Li} = \frac{1}{7} \times 1 \times N_A \approx 0.14 N_A
  • Option D (Ag): Atomic mass 108\approx 108 g/mol. NAg=1108×1×NA0.009NAN_{Ag} = \frac{1}{108} \times 1 \times N_A \approx 0.009 N_A
  1. Conclusion: Lithium (Li) has the lowest atomic mass among the given monoatomic solids and the effective atomic mass of oxygen in O2O_2 (16). Therefore, 1 g of Li contains the maximum number of atoms .
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