If the mole fraction of ethanol in a solution of ethanol in water is 0.050 , then find the molarity of the given solution.

Step-by-step solution

Moles of ethanol =0.050 Moles of water =1-0.050=0.95 ~mol . Mass of ethanol =0.05 46=2.3 ~g . Mass of H ₂ O =0.95 18=17.1 ~g Mass of solution =2.3+17.1 ~g =19.4 ~g Assuming, density of water =1 ~g / mL Volume of solution = Mass of solution Density =19.4 / 1=19.4 ~mL =0.0194 ~L Molarity of solution = Number of moles of ethanol Volume of solution (L) = 0.050 0.0194 =2.57 2.8 M