What is the mole fraction of ethyl, C2H5OH in an aqueous solution that is 50% et

Question

What is the mole fraction of ethyl, C2H5OH in an aqueous solution that is 50% ethyl alcohol by mass?
Please show step by step instructions. I've been trying to understand where I go wrong in trying to solve the problem. What is the mole fraction of ethyl, C2H5OH in an aqueous solution that is 50% ethyl alcohol by mass?
Please show step by step instructions. I've been trying to understand where I go wrong in trying to solve the problem.
Please show step by step instructions. I've been trying to understand where I go wrong in trying to solve the problem.

Explanation / Answer

Let the mass of the solution be 100g .

So the mass of ethyl alcohol in the solution will be 50 g.

and the water will be 50 g

Number of moles of ethyl alcohol = 50 / 46.07 = 1.085

Number of moles of water = 50 / 18.016 = 2.775

Mole fraction of ethyl alcohol = moles of alcohol / total no. of moles

= 1.085 / ( 1.085 + 2.775)

= 0.281

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