Let's assume we have 1 mole of the total solution.
Mole fraction of glucose is 0.0244 . This means there are 0.0244 moles of glucose in the solution.
The mass of glucose is calculated by multiplying the number of moles by the molar mass of glucose (
180.16g∕mol ):
0.0244×180.16=4.3959gThe mole fraction of water is 0.9756 . This means there are 0.9756 moles of water in the solution.
The mass of water is found by multiplying the number of moles by the molar mass of water (
18.01g∕mol ):
0.9756×18.01=17.570gThe total mass of the solution is just the mass of glucose plus the mass of water:
4.3959+17.570=21.9659gTo find the weight percent
(w∕w) of glucose, divide the mass of glucose by the total mass and multiply by 100 :
‌×100=20%