Calculate the mass of aluminum that is required to obtain 1 ton of iron by the method of aluminothermy.

| September 21, 2021 | education

Calculate the mass of aluminum that is required to obtain 1 ton of iron by the method of aluminothermy. How much heat is released in this case if the reaction proceeds according to the equation Fe2O3 + 2Al → Al2O3 + 2Fe + 829kJ

1. Let’s compose the equation of the chemical reaction:

Fe2O3 + 2Al = Al2O3 + 2Fe + 829 kJ.

2. Find the chemical amount of iron:

1 t = 1,000,000 g.

n (Fe) = m (Fe) / M (Fe) = 1,000,000 g / 56 g / mol = 17857.14 mol.

3. According to the reaction equation, we find the chemical amount of aluminum, and then its mass:

n (Al) = n (Fe) = 17857.14 mol.

m (Al) = n (Al) * M (Al) = 17857.14 mol * 27 g / mol = 482142.86 g = 482.14 kg.

4. Let’s find the amount of released heat:

Q = n (Fe) / 2 * 829 kJ = 17857.14 mol / 2 * 829 kJ = 7401784.5 kJ.

Answer: m (Al) = 482.14 kg; Q = 7401784.5 kJ.



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.