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Question 5
5. (a) (i) The mixture of ethanol and yeast is made by fermentation followed by distillation. In fermentation, enzymes in yeast convert glucose, C6H12O6, into eth... show full transcript
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Answer
To find the volume of carbon dioxide produced from the fermentation of the glucose, we first calculate the number of moles of glucose in 5.79 g:
Number of moles of glucose = ( \frac{5.79 \text{ g}}{180 \text{ g/mol}} = 0.0322 \text{ mol} )
From the balanced equation, each mole of glucose produces 2 moles of carbon dioxide. Thus, the moles of carbon dioxide produced from 0.0322 mol of glucose is:
( 0.0322 \text{ mol} \times 2 = 0.0644 \text{ mol} )
Now, converting moles to volume using the molar volume of gas at standard conditions (24 liters per mole):
( Volume = 0.0644 \text{ mol} \times 24 \text{ L/mol} = 1.5456 \text{ L} )
Since this reaction occurs for 16 liters of glucose solution, we scale it appropriately: ( Volume = 1.5456 \text{ L} \times \frac{16}{50} = 0.49408 \text{ L} )
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Answer
The formula for atom economy is given by: [ ext{Atom Economy} = \frac{\text{Molar mass of desired product}}{\text{Total molar mass of reactants}} \times 100 ]
In this case, the desired product is ethanol (C2H5OH) with a molar mass of 46 g. The total molar mass of the reactants (C6H12O6) is 180 g. Thus, substituting these values into the formula: [ ext{Atom Economy} = \frac{46}{180} \times 100 = 25.6% ]
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Answer
First, find the change in specific gravity. If we say the specific gravity before fermentation was 1.000 and after it was 0.7362, then: [ \text{Change in specific gravity} = 1.000 - 0.7362 = 0.2638 ]
Now using the formula: [ % \text{ alcohol by volume} = \left( \frac{0.2638}{0.7362} \right) \times 100 = 35.8\% ]
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Answer
A chemical test to distinguish between methanol and propan-2-one is to use acidified dichromate. When methanol (which is a primary alcohol) is mixed with acidified dichromate, it will change from orange to green as it is oxidized to formaldehyde. In contrast, propan-2-one (a ketone) will not show any significant colour change. Another test involves hot copper (II) oxide, where methanol will produce a brown solid (copper) while propan-2-one will not.
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To find the total dose of quinine for a 70 kg adult in a day, we calculate the amount needed: [ 10.0 , \text{mg/kg} \times 70 , \text{kg} = 700 , \text{mg} ] Since the treatment is every 8 hours, the total daily requirement can be calculated as: [ \text{Daily dose} = \frac{700 , \text{mg}}{3} = 233.33 , \text{mg} ]
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