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A solution is formed by dissolving 36.5 g of urea, CO(NH2)2, in 150.0 mL of water. What is the mole fraction of water in this solution? The density of water is 1.00 g / mL.

User Muhtar
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1 Answer

3 votes

Answer:

The mol fraction of water in this solution is 0.9319

Step-by-step explanation:

Step 1: Data given

Mass of urea = 36.5 grams

Volume water = 150.0 mL

Density of water = 1.00 g/mL

Step 2: Calculate mass of water

Mass water = density * volume

Mass water = 1.00 g/mL * 150.0 mL

Mass water = 150.0 grams

Step 3: Calculate moles of water

Moles H2O = mass H2O/molar mass H2O

Moles H2O = 150.0 grams / 18.02 g/mol

Moles H2O = 8.324 moles

Step 4: Calculate moles urea

moles urea = mass urea / molar mass urea

Moles urea = 36.5 grams / 60.06 g/mol

Moles urea = 0.608 moles

Step 5: Calculate total moles

Total moles = 8.324 moles + 0.608 moles

Total moles = 8.932 moles

Step 6: Calculate mol fraction

Mol fraction of water = moles H2O / total moles

Mol fraction H2O = 8.324 moles/ 8.932 moles

Mol fraction H2O = 0.9319

The mol fraction of water in this solution is 0.9319

User SPaz
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