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In a fermentation experiment 6.50 g of glucose was completely converted to ethanol and carbon dioxide - HSC - SSCE Chemistry - Question 13 - 2009 - Paper 1

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In a fermentation experiment 6.50 g of glucose was completely converted to ethanol and carbon dioxide. What is the mass of carbon dioxide produced?

Worked Solution & Example Answer:In a fermentation experiment 6.50 g of glucose was completely converted to ethanol and carbon dioxide - HSC - SSCE Chemistry - Question 13 - 2009 - Paper 1

Step 1

Calculate the moles of glucose

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Answer

To find the number of moles of glucose (C₆H₁₂O₆), use the formula:

n=mMn = \frac{m}{M}

Where:

  • m = mass of glucose = 6.50 g
  • M = molar mass of glucose = 180.18 g/mol

Thus:

n=6.50180.180.0361 molesn = \frac{6.50}{180.18} \approx 0.0361 \text{ moles}

Step 2

Determine moles of carbon dioxide produced

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Answer

From the fermentation reaction:

C6H12O62C2H5OH+2CO2\text{C}_6\text{H}_{12}\text{O}_6 \rightarrow 2 \text{C}_2\text{H}_5\text{OH} + 2 \text{CO}_2

Each mole of glucose produces 2 moles of carbon dioxide. Therefore, the moles of carbon dioxide produced is:

2×0.03610.0722 moles2 \times 0.0361 \approx 0.0722 \text{ moles}

Step 3

Calculate the mass of carbon dioxide

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Answer

To find the mass of carbon dioxide (CO₂), we use the formula:

m=n×Mm = n \times M

Where:

  • n = moles of carbon dioxide = 0.0722 moles
  • M = molar mass of CO₂ = 44.01 g/mol

Thus:

m=0.0722×44.013.18 gm = 0.0722 \times 44.01 \approx 3.18 \text{ g}

Step 4

Final answer

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Answer

The mass of carbon dioxide produced is approximately 3.18 g, which corresponds to option (B).

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