calculate the mole fraction ethanol of solution prepare by dissolving 46 g of ethanol in 90g of water.
Answers
Hi,
Here is your answer
Given:
Mass of ethanol(C₂H₅OH)=46g
Mass of water(H₂O)=90g
To Find:
Mole fraction of ethanol in the solution
Solution:
Molar mass of C₂H₅OH=24+5+16+1=46
Number of moles of C₂H₅OH=Given mass/Molar mass
Number of moles of C₂H₅OH=46/46=1
Molar mass of H₂O=2+16=18
Number of moles of H₂O=90/18=5
Mole fraction of C₂H₅OH=Number of moles of C₂H₅OH/Number of moles of solution
Substituting the datas we get
Mole fraction of C₂H₅OH=1/5+1=1/6=0.16
Notes:
1. Number of moles of a substance=Given mass/Molar mass of the substance
2. Mole fraction of a substance=Number of moles of substance/Number of moles of solution.
Hope this helps you.
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Explanation:
Ethanol 46 g/mol
Water 18 g/mol
Calculate moles of ethanol: 14.6 grams x 1 mol / 46 grams = 0.317 moles
Calculate moles of water: 53.6 grams x 1 mol / 18 grams = 2.98 moles
Mole fraction = moles of component / total moles in solution
= 0.317 / (0.317 + 2.98) = 0.0963
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One more answer.
Given- Weight of ethanol - 46 gram
Weight of water - 90 gram
Molecular weight of ethanol - 46 gram
Find- Mole fraction of ethanol in solution.
Solution- Mole fraction is calculated by the help of formula -
Number of moles of component/ total number of moles in solution.
Number of moles are calculated by the formula - weight / molecular weight.
Number of moles of ethanol - 46/46
Number of moles of ethanol - 1
Molecular weight of water - 18 gram
Number of moles of water - 90/18
Number of moles of water - 5
Mole fraction of ethanol - 1 / (5 + 1)
Mole fraction of ethanol - 1/6
Mole fraction of ethanol - 0.16
Hence, mole fraction of ethanol is 0.16.