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Question 3
Methyl benzoate is commonly added to perfumes as it has a pleasant smell. A student carries out a reaction to produce methyl benzoate using the following apparatus. ... show full transcript
Step 1
Step 2
Answer
The small test tube filled with cold water acts as a condenser to prevent the escape of volatile or gaseous reactants, ensuring that they remain in the reaction mixture.
Step 4
Answer
To determine the limiting reactant, we first calculate the number of moles of each reactant:
For benzoic acid:
5.0 ext{ g} imes rac{1 ext{ mole}}{122 ext{ g}} = 0.041 ext{ moles}
For methanol:
2.5 ext{ g} imes rac{1 ext{ mole}}{32 ext{ g}} = 0.078 ext{ moles}
From the balanced equation, 1 mole of benzoic acid reacts with 1 mole of methanol. Thus: 1 mole of benzoic acid requires 1 mole of methanol, so: 0.041 moles of benzoic acid would require 0.041 moles of methanol. Since we have 0.078 moles of methanol available, benzoic acid is the limiting reactant.
Step 5
Answer
First, we need to determine how much benzoic acid is required to produce 100 g of methyl benzoate.
From the reaction, the molar mass of methyl benzoate (C₈H₈O₂) is 136 g, and the molar mass of benzoic acid (C₇H₆O₂) is 122 g.
Using the ratio:
5 g of benzoic acid produces 3.1 g of methyl benzoate.
Thus, to produce 100 g of methyl benzoate:
ext{Required benzoic acid} = rac{100 ext{ g methyl benzoate} imes 5 ext{ g benzoic acid}}{3.1 ext{ g methyl benzoate}} = 161.3 ext{ g (rounded to 3 significant figures)}.
Next, calculate the cost of 161.3 g of benzoic acid:
Total cost: ext{Cost} = 161.3 ext{ g} imes 0.0796 ext{ pounds/g} = 12.81 ext{ pounds}.
Rounding to the nearest penny gives £12.81.
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