Beryl is a mineral which contains 5.03% Be, 10.04% Al, 31.35% Si, and 53.58% O. What is the chemical formula for beryl?Group of answer choicesBe3Al2(SiO3)6Be4Al(SiO3)8Be3(AlSiO3)2BeAl(SiO3)3
Question
Beryl is a mineral which contains 5.03% Be, 10.04% Al, 31.35% Si, and 53.58% O. What is the chemical formula for beryl?Group of answer choicesBe3Al2(SiO3)6Be4Al(SiO3)8Be3(AlSiO3)2BeAl(SiO3)3
Solution
To find the chemical formula for Beryl, we need to convert the percentages to moles.
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First, we convert the percentages to grams (since the percentages are based on a 100g sample, this means we have 5.03g of Be, 10.04g of Al, 31.35g of Si, and 53.58g of O).
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Next, we convert the grams to moles using the atomic masses of the elements (Be = 9.012 g/mol, Al = 26.98 g/mol, Si = 28.09 g/mol, O = 16.00 g/mol).
Moles of Be = 5.03g / 9.012 g/mol = 0.558 moles Moles of Al = 10.04g / 26.98 g/mol = 0.372 moles Moles of Si = 31.35g / 28.09 g/mol = 1.116 moles Moles of O = 53.58g / 16.00 g/mol = 3.349 moles
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Then, we divide each of the mole quantities by the smallest number of moles calculated (which is for Al) to get the mole ratio:
Be:Al:Si:O = 0.558/0.372 : 0.372/0.372 : 1.116/0.372 : 3.349/0.372 = 1.5 : 1 : 3 : 9
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Since we can't have half atoms in a chemical formula, we multiply all the numbers by 2 to get whole numbers:
Be:Al:Si:O = 3 : 2 : 6 : 18
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Finally, we write the chemical formula using these ratios. The 18 oxygen atoms are distributed as 3 per each Si atom (since in the SiO3 group, there are 3 oxygen atoms for each Si atom), so we get:
Be3Al2(SiO3)6
So, the correct answer is Be3Al2(SiO3)6.
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