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 molar mass of glucose (C₆H₁₂O₆)
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Answer
To begin, we find the molar mass of glucose. The atomic masses are approximately:
Carbon (C): 12.01 g/mol
Hydrogen (H): 1.008 g/mol
Oxygen (O): 16.00 g/mol
The molar mass of glucose is calculated as follows:
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Answer
Using the formula:
ext{moles} = rac{ ext{mass}}{ ext{molar mass}}
Substituting the values, we get:
ext{moles of glucose}
ightarrow 0.0361 ext{ mol}$$
Step 3
Determine the moles of carbon dioxide produced
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Answer
From the fermentation balanced equation:
ightarrow 2 ext{C₂H₅OH} + 2 ext{CO₂}$$
This shows that 1 mole of glucose produces 2 moles of carbon dioxide. Thus, the moles of carbon dioxide produced is:
$$ ext{moles of CO₂} = 0.0361 ext{ mol} imes 2 = 0.0722 ext{ mol}$$
Step 4
Calculate the mass of carbon dioxide produced
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Answer
Finally, using the molar mass of carbon dioxide (CO₂), which is approximately 44.01 g/mol:
