Which of the following contains the highest number of helium atoms?
A
4 u of helium
B
4 g of helium
C
2.27 L of helium at STP
D
4 mol of helium
Step-by-Step Solution
Analyze Option A (4 u): The unified atomic mass unit ('u') represents the mass of a single atom on the atomic scale. Since the atomic mass of Helium is 4 u, this option corresponds to exactly 1 atom.
Analyze Option B (4 g): The molar mass of Helium is 4 g mol−1.
Moles=4 g mol−14 g=1 mol
Total atoms = 1×NA=6.022×1023 atoms [Class 11 Physics, Appendix A 3].
Analyze Option C (2.27 L at STP): Using the standard molar volume at STP (22.7 L mol−1 for 1 bar pressure):
Moles=22.7 L mol−12.27 L=0.1 mol
Total atoms = 0.1×NA atoms.
Analyze Option D (4 mol):
Total atoms = 4×NA atoms.
Conclusion: Comparing the magnitudes: 4NA (Option D) > 1NA (Option B) > 0.1NA (Option C) > 1 atom (Option A).
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