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
Question 13
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=Mm
Where:
m = mass of glucose = 6.50 g
M = molar mass of glucose = 180.18 g/mol
Thus:
n=180.186.50≈0.0361 moles
Step 2
Determine moles of carbon dioxide produced
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Answer
From the fermentation reaction:
C6H12O6→2C2H5OH+2CO2
Each mole of glucose produces 2 moles of carbon dioxide. Therefore, the moles of carbon dioxide produced is:
2×0.0361≈0.0722 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×M
Where:
n = moles of carbon dioxide = 0.0722 moles
M = molar mass of CO₂ = 44.01 g/mol
Thus:
m=0.0722×44.01≈3.18 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).