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The following redox reaction is highly exothermic and is used to produce molten iron for welding pieces of steel together, e.g - Leaving Cert Chemistry - Question b - 2013

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The following redox reaction is highly exothermic and is used to produce molten iron for welding pieces of steel together, e.g. sections of railway track: $$8Al + 3... show full transcript

Worked Solution & Example Answer:The following redox reaction is highly exothermic and is used to produce molten iron for welding pieces of steel together, e.g - Leaving Cert Chemistry - Question b - 2013

Step 1

Define oxidation in terms of change in oxidation number.

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Answer

Oxidation is defined as an increase in oxidation number. In a chemical reaction, this typically means that the species is losing electrons.

Step 2

Show using oxidation numbers that this is a redox reaction.

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Answer

In the given reaction:

  • Aluminum (Al) changes from an oxidation state of 0 in elemental form to +3 in aluminum oxide (Al₂O₃), thus it is oxidized.
  • Iron (Fe) changes from an oxidation state of +3 in iron(III) oxide (Fe₂O₃) to 0 in elemental iron (Fe), thus it is reduced. This indicates that there is a transfer of electrons, confirming that this is a redox reaction.

Step 3

Identify the reducing agent.

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Answer

The reducing agent in this reaction is aluminum (Al) because it donates electrons and is oxidized in the process.

Step 4

What mass of aluminium powder is required to produce 1008 g of molten iron for a single railway track weld?

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Answer

To calculate the mass of aluminum required to produce 1008 g of iron:

  1. From the balanced equation, 8 mol of Al produces 9 mol of Fe.
  2. Calculate the molar mass of Fe:
    • Molar mass of Fe = 56 g/mol
    • 9 mol Fe = 9 × 56 g = 504 g.
  3. If 8 mol of Al yields 504 g of Fe, the amount of Al needed for 1008 g of Fe: \text{Mass of Al} = \left( #\frac{8 \text{ mol Al}}{9 \text{ mol Fe}} \right) \times \frac{1008 \text{ g Fe}}{56 \text{ g/mol}} =(89)×18 mol Al=16 mol Al= \left( \frac{8}{9} \right) \times 18 \text{ mol Al} = 16 \text{ mol Al}
  4. Molar mass of Al is 27 g/mol, therefore: Mass of Al=16 mol×27 g/mol=432extg\text{Mass of Al} = 16 \text{ mol} \times 27 \text{ g/mol} = 432 ext{ g}

Step 5

What mass of aluminium oxide is produced as waste in the process?

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Answer

To find the mass of aluminum oxide (Al₂O₃) produced:

  1. From the balanced equation, 8 mol of Al produces 4 mol of Al₂O₃.
  2. Since 16 mol of Al is used, the moles of Al₂O₃ produced: Moles of Al2O3=(4 mol Al2O38 mol Al)×16 mol Al=8 mol Al2O3\text{Moles of Al}_2O_3 = \left( \frac{4 \text{ mol Al}_2O_3}{8 \text{ mol Al}} \right) \times 16 \text{ mol Al} = 8 \text{ mol Al}_2O_3
  3. The molar mass of Al₂O₃:
    • Molar mass = (2 × 27 g/mol) + (3 × 16 g/mol) = 54 g + 48 g = 102 g/mol.
  4. Mass of Al₂O₃ produced: Mass of Al2O3=8 mol×102 g/mol=816extg\text{Mass of Al}_2O_3 = 8 \text{ mol} \times 102 \text{ g/mol} = 816 ext{ g}

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