IMAT 2024 · Question 44

Q44 - Avogadro's number

Given that the relative atomic mass of nitrogen is 14 u, how many nitrogen atoms are present in 0.7 g of gaseous nitrogen? A) 6.02 × 10²² B) 2.01 × 10⁻²³ C) 3.01 × 10²² D) 1.51 × 10²² E) 3.01 × 10²³
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The correct answer is C) 3.01 × 10²².

The question asks for atoms, so use the atomic mass of N (14), not N₂ (28).

0.7 g / 14 g/mol = 0.05 mol of atoms, and 0.05 × 6.02 × 10²³ = 3.01 × 10²².

If you work with N₂, you get 1.51 × 10²² molecules, which is half the number of atoms and is also one of the options.

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