Answer:
Mass of Fe produced = 3.86785211069 ≈ 3.87 kg
Explanation:
From the question the chemical reaction can be written as follow :
Fe2O3 + C → Fe + CO
Balance the equation
Fe2O3 + 3C → 2Fe + 3CO
compute the molecular mass of Fe2O3 and atomic mass of Iron(Fe)
Molecular mass of Fe2O3 = 55.845(2) + 15.999(3) = 111.69 + 47.997 = 159.687 g
Atomic mass of iron = 55.845 g
From the balanced equation
159.687 g of Fe2O3 produces 2 × 55.845 = 111.69 g of Fe(iron)
Convert the 5.53 kg to gram
1 kg = 1000 g
5.53 kg = 5.53 × 1000 = 5530 g
since,
159.687 g of Fe2O3 produces 2 × 55.845 = 111.69 g of Iron(Fe)
5530 g of Fe2O3 will produce
cross multiply
Mass of Fe produced =5530 × 111.69/159.687
Mass of Fe produced = 617645.7
/159.687
Mass of Fe produced = 3867.85211069 g
convert to kg
1000 g = 1 kg
3867.85211069 = 3867.85211069/1000
Mass of Fe produced = 3.86785211069 ≈ 3.87 kg
