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Which of the following statements about the composition of the vapour over an ideal 1 : 1 molar mixture of benzene and toluene is correct? Assume that the temperature is constant at 25 o C . (Given vapour pressure data at 25 o C , benzene = 12.8 kPa, toluene = 3.85 kPa)

Options

  1. AThe vapour will contain a higher percentage of benzene.
  2. BThe vapour will contain a higher percentage of toluene.
  3. CThe vapour will contain equal amounts of benzene and toluene.
  4. DNot enough information is given to make a prediction.

Correct answer

A. The vapour will contain a higher percentage of benzene.

Step-by-step solution

A - benzene, B - Toluene P T = P A o   X A + P B o   X B = 12.8 × 0.5 + 3.85 × 0.5 = 6.2 + 1.925 = 8.125 Also, mole fraction of benzene in vapour form Y A = P A o   X A P T = 6.2 8.121 = 0.75 And mole fraction of Toluene in vapour form Y B = 1 - 0.75 = 0.25

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