QQuestionChemistry
QuestionChemistry
Calculate the mass of forsterite (Mg^2SiO4) that contains a billion (1.000×109) oxygen atoms. Be sure your answer has a unit symbol if necessary, and round it to 4 significant digits.
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Determine the number of oxygen atoms in one molecule of forsterite (Mg^2SiO4)
\text{Mg}_{2}\text{SiO}_{4} \rightarrow 4 \text{ oxygen atoms}
- The chemical formula Mg^2SiO^4 contains 4 oxygen atoms per molecule
Step 3:: Calculate the number of molecules needed to reach 1 billion oxygen atoms
- Number of molecules = $$\frac{1.000 \times 10^{9} \text{ oxygen atoms}}{4 \text{ oxygen atoms per molecule}}
- Number of molecules = 2.500 \times 10^{8} \text{ molecules}
Step 4:: Calculate the molar mass of Mg^2SiO^4
- Total molar mass: $$48.610 + 28.085 + 63.996 = 140.691 \text{ g/mol}
- Si: 28.085 \text{ g/mol} \times 1 = 28.085 \text{ g/mol}
Step 5:: Calculate the mass of forsterite
- Mass = $$5.848 \times 10^{-13} \text{ g}
- Mass = \left(2.500 \times 10^{8}\right) \times \frac{140.691 \text{ g/mol}}{6.022 \times 10^{23} \text{ molecules/mol}}
Final Answer
5.848 \times 10^{- 13} \text{ g}
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