Calculate whether 224 liters of hydrogen will be enough for the complete reduction of iron from iron (III) oxide

| February 26, 2021 | education

Calculate whether 224 liters of hydrogen will be enough for the complete reduction of iron from iron (III) oxide obtained as a result of thermal decomposition of iron (III) hydroxide weighing 428 g.

1. Let’s compose the equations of chemical reactions:

2Fe (OH) 3 = Fe2O3 + 3H2O.

Fe2O3 + 3H2 = 2Fe + 3H2O.

2. Find the chemical amount of iron hydroxide and hydrogen (Vm – molar volume, constant equal to 22.4 l / mol):

n (Fe (OH) 3) = m (Fe (OH) 3) / M (Fe (OH) 3) = 428 g / 107 g / mol = 4 mol.

n (H2) = V (H2) / Vm = 224 L / 22.4 L / mol = 10 mol.

3. According to the reaction equation, we find the chemical amount of hydrogen required to obtain a given amount of iron:

n (H2) = n (Fe (OH) 3) / 2 * 3 = 4 mol / 2 * 3 = 6 mol.

Hence, 10 moles of hydrogen is sufficient.

Answer: enough.



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