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Carbon monoxide can be oxidised to carbon dioxide - VCE - SSCE Chemistry - Question 13 - 2006 - Paper 1

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Question 13

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Carbon monoxide can be oxidised to carbon dioxide. $$2CO(g) + O_2(g) \rightarrow 2CO_2(g)$$ 3 mol of CO and 2 mol of O_2 are mixed. When the reaction is complete t... show full transcript

Worked Solution & Example Answer:Carbon monoxide can be oxidised to carbon dioxide - VCE - SSCE Chemistry - Question 13 - 2006 - Paper 1

Step 1

Calculate the amount of CO and O₂ available

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Answer

We have 3 moles of CO and 2 moles of O₂. According to the balanced equation, 2 moles of CO react with 1 mole of O₂. Therefore, to react completely with 2 moles of O₂, we need:

2 O2×2 mol CO1 mol O2=4 mol CO2 \text{ O}_2 \times \frac{2 \text{ mol CO}}{1 \text{ mol O}_2} = 4 \text{ mol CO}

Since we only have 3 moles of CO, we will run out of CO before O₂.

Step 2

Determine moles of CO₂ produced

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Answer

From the balanced equation, for every 2 moles of CO consumed, 2 moles of CO₂ are produced. Therefore, from 3 moles of CO:

3 mol CO×2 mol CO22 mol CO=3 mol CO23 \text{ mol CO} \times \frac{2 \text{ mol CO}_2}{2 \text{ mol CO}} = 3 \text{ mol CO}_2

So, 3 moles of CO₂ will be produced.

Step 3

Calculate remaining moles of O₂

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Answer

For 2 moles of O₂, we could ideally react with 4 moles of CO. Since we only used 3 moles of CO, the amount of O₂ reacted is:

3 mol CO×1 mol O22 mol CO=1.5 mol O23 \text{ mol CO} \times \frac{1 \text{ mol O}_2}{2 \text{ mol CO}} = 1.5 \text{ mol O}_2

Thus, the unreacted O₂ is:

2 mol O21.5 mol O2=0.5 mol O22 \text{ mol O}_2 - 1.5 \text{ mol O}_2 = 0.5 \text{ mol O}_2

Step 4

Review options

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Answer

Based on the calculations, we have:

  • 3 moles of CO₂ produced
  • 0.5 moles of O₂ unreacted

Thus, the correct answer is C. 1 mol of CO unreacted (as CO has not unreacted but is also not completely used).

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