A solution has 46% w/w ethyle alcohol find the mole fraction of C2H5OH and water
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Answer:
0.25
Explanation:
If a solution has 46% W/W ethyl alcohol in water, what is the mile fraction of ethyl alcohol (C2H5OH)?
46 g of ethyl alcohol is present in 100 g of solution.
Step 1: Find molar masses of solute and solvent.
Molar mass of C₂H₅OH = 2C + 6H + 1O = 2x12 + 6x1 + 1x16 = 46 g
Molar mass of H₂O = 2H + 1O = 2x1 + 1x16 = 18 g
Step 2: Find number of moles.
Moles of substance = Given mass / Molar mass
Moles of C₂H₅OH = 46 g / 46 g = 1 mole
Moles of H₂O = 54 g / 18 g = 3 moles
Step 3: Divide number of moles of solute by total number of moles in solution.
Mole fraction of C₂H₅OH = 1 / (3+1) = 1 / 4 = 0.25
The mole fraction of 46% w/w ethyl alcohol in water solution is 0.25.
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