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Calculate the mass of forsterite Mg2SiO4 that contains a million ×1.00106 oxygen atoms. Be sure your answer has a unit symbol if necessary, and round it to 3 significant digits.

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Answer:

5.84x10⁻¹⁷ g

Explanation:

First we convert oxygen atoms into oxygen moles, using Avogadro's number:

  • 1 x 10⁶ atoms ÷ 6.023x10²³ atoms/moles = 1.66x10⁻¹⁸ moles

Now we convert oxygen moles into forsterite moles, using forsterite's molecular formula:

  • 1.66x10⁻¹⁸ O moles * [tex]\frac{1mol forsterite}{4moles Oxygen}[/tex] = 4.15x10⁻¹⁹ forsterite moles

Finally we convert forsterite moles into grams using its molecular weight:

  • 4.15x10⁻¹⁹ forsterite moles * 140.69 g/mol = 5.84x10⁻¹⁷ g

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