QQuestionChemistry
QuestionChemistry
The molar mass of silicon (Si) is 28.09 g/mol. Calculate the number of atoms in a 92.8 mg sample of Si.
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Answer
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Step 1:: Convert the mass of silicon from milligrams to grams.
We know that: 1000 mg = 1 g So,
Step 2:8 mg = \frac{92.8}{1000} g = 0.0928 g
Step 3:: Determine the number of moles of silicon in the sample using the molar mass.
We know that: Molar mass of Si = 28.09 g/mol Number of moles (n) = mass / molar mass n(Si) = 0.0928 g / 28.09 g/mol = 0.00331 mol
Step 4:: Find the number of atoms in the sample by multiplying the number of moles by Avogadro's number (6.022 x 10^23 atoms/mol).
Number of atoms = n(2$) x Avogadro's number Number of atoms = 0.00331 mol x 6.022 x 10^23 atoms/mol
Final Answer
The number of atoms in a 92.8 mg sample of Si is approximately 2.0 x 10^21 atoms.
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