What is the mole fraction of acetone,(CH₃)₂CO,in a solution containing 500 g of acetone in 800 g of benzene,C₆H₆? A) 0.841 B) 0.457 C) 0.314 D) 0.227

Question

Quizplus · Accepted Answer

First, let's find the moles of acetone and benzene in the solution using their respective molar masses:
moles of acetone = 500 g / 58.08 g/mol = 8.603 mol
moles of benzene = 800 g / 78.11 g/mol = 10.235 mol

The total moles of solute + solvent in the solution is:
total moles = moles of acetone + moles of benzene = 8.603 + 10.235 = 18.838 mol

The mole fraction of acetone is the moles of acetone divided by the total moles:
mole fraction of acetone = moles of acetone / total moles = 8.603 / 18.838 = 0.4569

Rounded to three significant figures, the mole fraction of acetone is 0.457. Therefore, the correct answer is choice B.

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What Is the Mole Fraction of Acetone,(CH₃)₂CO,in a Solution Containing