What is the mole fraction of ethanol in a solution made by dissolving 29.2 g of ethanol, C2H5OH, in 53.6 g of water?

Mole fraction ethanol = 0.175

Explanation:

Mole fraction ethanol = Moles of ethanol / Total moles

Total moles = moles of ethanol + moles of water.

Moles of ethanol → 29.2 g . 1 mol / 46 g = 0.635 moles

Moles of water → 53.6 g . 1 mol / 18 g = 2.98 moles

Total moles → 0.635 mol + 2.98 mol = 3.615 moles

Mole fraction ethanol = 0.635 / 3.615 = 0.175

Remember: Mole fraction has no units