Question

A solution is prepared by mixing 50 g sugar in 100 g water. Calculate mole fraction of sugar

Answer 1

Hi,

Here is your answer

Given:

Mass of sugar(C₁₂H₂₂O₁₁)=50g

Mass of water(H₂O)=100g

To Find:

Mole fraction of sugar in the solution

Solution:

Molar mass of C₁₂H₂₂O₁₁=12×12+22+16×11=342

Number of moles of sugar=Given mass/Molar mass

Number of moles of sugar=50/342=0.15moles

Molar mass of H₂O=2+16=18

Number of moles of water=100/18=5.55moles

Mole fraction of sugar=Number of moles of sugar/Number of moles of solution.

Mole fraction of sugar=0.15/0.15+5.55

Mole fraction of sugar=0.026

Notes:

1.Number of moles of a substance=Given mass/Molar mass of the substance

2.Mole fraction of a substance=Number of moles of substance/Number of moles in the solution.

Hope this helps you.