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Question from: Chemistry

How many atoms are present in 6.0 g of magnesium? [Mg = 24, NA = 6.02 × 1023 mol−1]

A)  

1.20 × 1022

B)  

2.41 × 1022

C)  

1.51 × 1023

D)  

3.02 × 1023

Solutions

j

juanbacan

hace 14 días

Solution

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Correct answer: 1.51 × 1023 (Option C)

Explanation:

  • Number of moles of Mg = mass ÷ molar mass = 6.0 g ÷ 24 g mol−1 = 0.25 mol.
  • Number of atoms = moles × Avogadro’s constant = 0.25 × 6.02 × 1023 = 1.505 × 10231.51 × 1023.

Why the others are incorrect:

  • 1.20 × 1022 and 2.41 × 1022: far too small; they come from arithmetic or unit mistakes.
  • 3.02 × 1023: corresponds to 0.5 mol (e.g., 12 g of Mg), not the 0.25 mol present here.

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