A solution of sucrose in water is labelled by 20 (w/w) that would be the moles fraction of each component in the solution
Answers
Answer:
0.987
Explanation:
Mole fraction of a particular component of the solution is the ratio of number of moles of that component present in the solution to the total number of moles of all the components of the solution.
A solution of sucrose in water is labelled as 20% w/w.
It means that 100 g of solution contains 20 g of sucrose and 100−20=80 grams of water. The molar masses of sucrose and water are 342 g/mol and 18 g/mol respectively.
The number of moles of sucrose =
342g/mol
20g
=0.0585mol
The number of moles of water =
18g/mol
80g
=4.444mol
The mole fraction of sucrose =
0.0585+4.444
0.0585
=0.01299≃0.013
The mole fraction of water =1−0.013=0.987
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