Question

For each of the following gemstones, determine the mass of compound present in the given moles of each compound. The chemical formula for garnet is MgAl₂(SiO₄)₃. What is the mass in grams of garnet that are in 0.0347 moles?

Answer 1

To find the mass of garnet in grams for 0.0347 moles, multiply the molar mass of garnet (553.25 g/mol) by the number of moles, resulting in approximately 19.2 grams.

Step-by-step explanation:

To determine the mass in grams of garnet present in 0.0347 moles, you must use the molar mass of garnet. The chemical formula for garnet is MgAl₂(SiO₄)₃.

First, calculate the molar mass of garnet by adding the atomic masses of all the atoms in the formula. The molar mass of MgAl₂(SiO₄)₃ is approximately 553.25 g/mol (24.31 g/mol Mg + 2(26.98 g/mol Al) + 3(28.09 g/mol Si) + 12(16.00 g/mol O)).

To find the mass of 0.0347 moles of garnet, multiply the number of moles by the molar mass:

Mass = moles × molar mass

Mass = 0.0347 moles × 553.25 g/mol

The mass of garnet is approximately 19.2 grams.