Bioethanol, C2H5OH, is produced by the fermentation of glucose, C6H12O6, according to the following equation - VCE - SSCE Chemistry - Question 10 - 2018 - Paper 1
Question 10
Bioethanol, C2H5OH, is produced by the fermentation of glucose, C6H12O6, according to the following equation.
C6H12O6(aq) → 2C2H5OH(aq) + 2CO2(g)
The mass of C2H5O... show full transcript
Worked Solution & Example Answer:Bioethanol, C2H5OH, is produced by the fermentation of glucose, C6H12O6, according to the following equation - VCE - SSCE Chemistry - Question 10 - 2018 - Paper 1
Step 1
Step 1: Determine the molar mass of CO2
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Answer
The molar mass of CO2 is calculated as follows:
Carbon (C): 12.01 g/mol
Oxygen (O): 16.00 g/mol
Thus, the molar mass of CO2 = 12.01 + 2(16.00) = 44.01 g/mol.
Step 2
Step 2: Calculate moles of CO2 produced
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Answer
Using the mass of CO2 produced:
Number of moles of CO2 = ( \frac{\text{mass}}{\text{molar mass}} = \frac{5.68 \text{ g}}{44.01 \text{ g/mol}} \approx 0.129 \text{ mol} )
Step 3
Step 3: Use stoichiometry to find moles of C2H5OH produced
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Answer
According to the reaction, 2 moles of C2H5OH are produced for every 2 moles of CO2:
So, moles of C2H5OH = moles of CO2 = 0.129 mol.
Step 4
Step 4: Calculate the mass of C2H5OH produced
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Answer
The molar mass of C2H5OH is:
Carbon (C): 2 × 12.01 = 24.02 g/mol
Hydrogen (H): 6 × 1.008 = 6.048 g/mol
Oxygen (O): 1 × 16.00 = 16.00 g/mol
Thus, molar mass of C2H5OH = 24.02 + 6.048 + 16.00 = 46.068 g/mol.
Now,
Mass of C2H5OH = moles × molar mass = 0.129 mol × 46.068 g/mol ≈ 5.94 g.