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Answer :
Final answer:
The mole fraction of acetone in water is 0.236.
Explanation:
To calculate the mole fraction of acetone in water, we need to first calculate the number of moles of acetone and water in the solution. We can then use the mole fraction formula:
Mole Fraction = Number of Moles of Acetone / Total Number of Moles
Given that the molar mass of acetone (C₃H₆O) is 58.08 g/mol, we can calculate the number of moles of acetone:
- Convert 2.00 g of acetone to moles: 2.00 g / 58.08 g/mol = 0.0344 mol acetone
- Convert 2.00 mL of water to grams using the density of water (1 g/mL): 2.00 mL * 1 g/mL = 2.00 g water
- Convert the grams of water to moles using the molar mass of water (18.02 g/mol): 2.00 g / 18.02 g/mol = 0.111 mol water
Now we can calculate the mole fraction:
Mole Fraction of Acetone = 0.0344 mol acetone / (0.0344 mol acetone + 0.111 mol water) = 0.236
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