High School

Calculate the mole fraction of acetone and cyclohexane in the vapor above the solution. The partial pressure of acetone is 229.5 torr and the partial pressure of cyclohexane is 97.6 torr.

Answer :

Final answer:

The mole fractions of acetone and cyclohexane in the vapor are calculated by dividing their partial pressures by the total pressure. Acetone has a mole fraction of approximately 0.701, while cyclohexane has a mole fraction of approximately 0.299.

Explanation:

The subject of this question is the calculation of mole fraction of acetone and cyclohexane in the vapor above the solution using their partial pressures. The total pressure of the system is the sum of the partial pressures of acetone and cyclohexane, which is 229.5 torr + 97.6 torr = 327.1 torr.

To find the mole fraction of acetone (Yacetone), divide the partial pressure of acetone by the total pressure:

  • Yacetone = Pacetone / Ptotal = 229.5 torr / 327.1 torr ≈ 0.701

To find the mole fraction of cyclohexane (Ycyclohexane), divide the partial pressure of cyclohexane by the total pressure:

  • Ycyclohexane = Pcyclohexane / Ptotal = 97.6 torr / 327.1 torr ≈ 0.299

These mole fractions represent the composition of the vapor phase above the solution.

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