On heating 4.89g of Fe3O4, how much Fe2O3 may be obtained?
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Answer:
The amount of Fe2O3 obtained when 4.89 grams of Fe3O4 is heated is 5.092 grams.
Explanation:
Step 1 : write down the equation of the reaction.
We have :
4Fe3O4 + O2 —> 6Fe2O3
Step 2: Calculate the moles of Iron(iii) Oxide.
Molar mass of Iron(iii) Oxide :
= 56 × 3 + 16 × 4 = 232 grams/mol
Mass of Iron(iii)Oxide = 4.89
Moles = mass / molar mass
= 4.89/232 = 0.02108 moles
Step 3: Determine the mole ratio of Fe3O4 to Fe2O3.
The mole ratio is 4 : 6
Simplify to get = 2 : 3
For every 2 moles of Fe3O4 we have 3 moles of Fe2O3.
The moles of Iron(ii) Oxide will be given by :
3/2 × 0.02108 = 0.03162 moles
Step 4 : Determine the mass of Fe2O3.
Molar mass = 56 × 2 + 16 × 3 = 160 grams/mole
Mass = moles × molar mass
= 160 × 0.03162 = 5.0592 grams
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