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Gallium metal of mass 29.0 g reacts as 4Ga + 3O2 giving 2Ga2O3. What mass of Ga2O3 can be prepared?
A39.0 g
B29.0 g
C58.0 g
D19.5 g
Answer & Solution
Correct answer: A. 39.0 g
1. Mass problems need three steps: convert mass to moles, apply the factor, convert back to mass.
2. Convert 29.0 g of gallium to moles using the molar mass of gallium.
3. Apply the stoichiometric factor, which is 2 mol Ga2O3 per 4 mol Ga.
4. Convert that molar amount of Ga2O3 to a mass using its molar mass.
5. Carrying the full chain through gives 39.0 g of Ga2O3.
6. The product mass exceeds the metal mass because oxygen has been added to the gallium.
7. Answering 58.0 g ignores that only 2 mol of oxide form per 4 mol of gallium.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 4 "Stoichiometry of Chemical Reactions", section 4.3 Reaction Stoichiometry_
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