IMAT 2024 · Question 36

Q36 - Stoichiometric calculations

Given the theoretical reaction yield of 4 FeS₂ + 11 O₂ → 2 Fe₂O₃ + 8 SO₂ which of the following statements is correct A) From 2 mol of FeS₂ and 11 mol of O₂, 1 mol of Fe₂O₃ can be obtained. B) From 10 mol of O₂ and 1 mol of FeS₂, 3 mol of SO₂ can be obtained. C) To obtain 1 mol of Fe₂O₃, 2 mol of FeS₂ and 5 mol of O₂ are necessary. D) From 4 mol of O₂ and 11 mol of FeS₂, 8 mol of SO₂ can be obtained. E) To obtain 1 mol of Fe₂O₃ and 6 mol of SO₂, 2 mol of FeS₂ and 9 mol of O₂ are necessary.
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The correct answer is A) From 2 mol of FeS₂ and 11 mol of O₂, 1 mol of Fe₂O₃ can be obtained.

From the equation, the ratio is 4 FeS₂ : 11 O₂ : 2 Fe₂O₃ : 8 SO₂, or 2 : 5.5 : 1 : 4.

In A, 2 mol FeS₂ only needs 5.5 mol O₂, so the 11 mol is more than enough. FeS₂ runs out first and gives 1 mol Fe₂O₃.

The others each get one number wrong. C needs 5.5 mol O₂, not 5. E would give 4 mol SO₂, not 6. In D, oxygen runs out first, so you get nowhere near 8 mol of SO₂.

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