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13. The solution is prepared by mixing 25.0 grams of ethanol and 25.0 grams of water.
Determine the mole fractions of each component?
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13. The solution is prepared by mixing 25.0 grams of ethanol and 25.0 ...
Step 1: Calculate Moles of Each Component
To find the mole fractions, we first need to calculate the number of moles of ethanol and water.
- Molar Mass of Ethanol (C2H5OH): Approximately 46.07 g/mol
- Molar Mass of Water (H2O): Approximately 18.02 g/mol
- Moles of Ethanol:
- 25.0 g / 46.07 g/mol ≈ 0.543 moles
- Moles of Water:
- 25.0 g / 18.02 g/mol ≈ 1.387 moles
Step 2: Calculate Total Moles
- Total Moles:
- Moles of Ethanol + Moles of Water
- 0.543 moles + 1.387 moles ≈ 1.930 moles
Step 3: Calculate Mole Fractions
Mole fraction is calculated using the formula:
- Mole Fraction (X) = Moles of Component / Total Moles
- Mole Fraction of Ethanol (X_ethanol):
- 0.543 moles / 1.930 moles ≈ 0.281
- Mole Fraction of Water (X_water):
- 1.387 moles / 1.930 moles ≈ 0.719
Summary of Mole Fractions
- Mole Fraction of Ethanol:
- Approximately 0.281
- Mole Fraction of Water:
- Approximately 0.719
This calculation indicates that in the mixture, about 28.1% of the moles are ethanol, while 71.9% are water.
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13. The solution is prepared by mixing 25.0 grams of ethanol and 25.0 grams of water. Determine the mole fractions of each component?
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