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Iron can be produced from iron(III) oxide - Scottish Highers Chemistry - Question 17 - 2019

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Iron can be produced from iron(III) oxide. 2Fe2O3(s) + 3C(s) → 4Fe(s) + 3CO(g) The GFM values are: - For 2Fe2O3: 159.6 g - For 3C: 12.0 g - For 4Fe: 55.8 g - For 3... show full transcript

Worked Solution & Example Answer:Iron can be produced from iron(III) oxide - Scottish Highers Chemistry - Question 17 - 2019

Step 1

Calculate the total GFM of reactants

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Answer

The total GFM of the reactants is the sum of the GFM of iron(III) oxide and carbon:

GFMreactants=2(159.6extg)+3(12.0extg)GFM_{reactants} = 2(159.6 ext{ g}) + 3(12.0 ext{ g})

Calculating this, we have:

GFMreactants=319.2extg+36.0extg=355.2extgGFM_{reactants} = 319.2 ext{ g} + 36.0 ext{ g} = 355.2 ext{ g}

Step 2

Calculate the total GFM of products

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Answer

The total GFM of the products is the sum of the GFM of iron and carbon monoxide:

GFMproducts=4(55.8extg)+3(44.0extg)GFM_{products} = 4(55.8 ext{ g}) + 3(44.0 ext{ g})

Calculating this, we have:

GFMproducts=223.2extg+132.0extg=355.2extgGFM_{products} = 223.2 ext{ g} + 132.0 ext{ g} = 355.2 ext{ g}

Step 3

Calculate the atom economy

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Answer

Finally, the atom economy can be calculated using:

Atom ext{ }Economy = rac{GFM_{products}}{GFM_{reactants}} imes 100

Substituting the values:

Atom ext{ }Economy = rac{355.2 ext{ g}}{355.2 ext{ g}} imes 100 = 100 ext{ }\text{ ext{ — this calculation was incorrect. Let’s review our focuses}}

In fact: products GFM: 223.2 g (iron only)

So:

= 62.8 ext{ ext{%}}$$

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