QuestionJune 11, 2025

For each of the following gemstones determine the mass of compound present in the given moles of each compound. The chemical formula for emeral I is Be_(3)Al_(2)(SiO_(3))_(6) What is the mass in grams of emerald that is in 0.0173 moles?

For each of the following gemstones determine the mass of compound present in the given moles of each compound. The chemical formula for emeral I is Be_(3)Al_(2)(SiO_(3))_(6) What is the mass in grams of emerald that is in 0.0173 moles?
For each of the following gemstones determine the mass of compound
present in the given moles of each compound.
The chemical formula for emeral I is Be_(3)Al_(2)(SiO_(3))_(6) What is the mass in
grams of emerald that is in 0.0173 moles?

Solution
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Answer

10.14 grams Explanation 1. Calculate the molar mass of emerald Determine the molar mass by summing the atomic masses: 3 \times Be + 2 \times Al + 6 \times (SiO_3). Use atomic masses: Be = 9.01, Al = 26.98, Si = 28.09, O = 16.00. Molar mass = 3 \times 9.01 + 2 \times 26.98 + 6 \times (28.09 + 3 \times 16.00). 2. Calculate the mass of emerald Use the formula: **mass = moles \times molar mass**. Mass = 0.0173 \, \text{moles} \times \text{molar mass}.

Explanation

1. Calculate the molar mass of emerald<br /> Determine the molar mass by summing the atomic masses: $3 \times Be + 2 \times Al + 6 \times (SiO_3)$. Use atomic masses: $Be = 9.01$, $Al = 26.98$, $Si = 28.09$, $O = 16.00$.<br /> Molar mass = $3 \times 9.01 + 2 \times 26.98 + 6 \times (28.09 + 3 \times 16.00)$.<br /><br />2. Calculate the mass of emerald<br /> Use the formula: **mass = moles $\times$ molar mass**.<br /> Mass = $0.0173 \, \text{moles} \times \text{molar mass}$.
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