Iron is produced by reduction of iron (III) oxide with coal. The reaction product yield is 75%.

| August 12, 2021 | education

Iron is produced by reduction of iron (III) oxide with coal. The reaction product yield is 75%. Calculate what mass of iron can be obtained from iron oxide with a mass of 1 ton.

Let’s find the amount of the substance Fe2O3.

M (Fe2O3) = 160 kg / kmol.

n = 1000 kg: 160 kg / kmol = 6.25 kmol.

Let’s compose the reaction equation, find the quantitative ratios of substances.

Fe2O3 + 3C = 2Fe + 3CO

There is 2 mol of Fe per 1 mol of Fe2O3. Substances are in quantitative ratios 1: 2. The amount of Fe substance is 2 times more than Fe2O3.

n (Fe) = 2n (Fe2O3) = 6.25 kmol × 2 = 12.5 kmol.

Let us find the mass of Fe.

M (Fe) = 56 kg / kmol.

m = n × M.

m = 56 kg / kmol × 12.5 kmol = 700 kg.

We got 700 kg according to theory. The product yield according to the condition of the problem is 75%.

700 kg – 100%,

x – 75%,

x = (700 kg × 75%): 100% = 525 kg.

Answer: 525 kg.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.