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How many moles are in [tex]2.16 \times 10^{24}[/tex] atoms of magnesium?

A. 35.9 moles
B. 3.59 moles
C. 0.359 moles
D. 7.18 moles
E. 0.90 moles

Answer :

Final answer:

To determine how many moles are in 2.16 × 10²⁴ atoms of magnesium, we use Avogadro's number (6.02 × 10²³). Dividing the number of atoms by Avogadro's number, we find there are 3.59 moles of magnesium in 2.16 × 10²⁴ atoms. Answer is B) 3.59 moles.

Explanation:

To calculate how many moles are in 2.16 × 10²⁴ atoms of magnesium, we can use Avogadro's number, which states that one mole of any substance consists of 6.02 × 10²³ entities (atoms, in this case). The formula used is: moles = number of atoms / Avogadro's number.

So, applying that to this question: moles = 2.16 × 10²⁴ / 6.02 × 10²³ = 3.59 moles

Therefore, in 2.16 × 10²⁴ atoms of magnesium, there are 3.59 moles. So, the correct answer is B) 3.59 moles.

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