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Question

At 35°C, the vapour pressure of CS2 is 512 mm Hg and that of acetone CH3COCH3 is 344 mm Hg. A solution of CS2 and acetone, in which the mole fraction of CS2 is 0.25 has a total vapour pressure of 600 mmHg. Which the following statement about the solution of acetone and CS2 is true?

Options

A.A mixture of 100 ml of acetone and 100 ml of CS2 has a total volume of 200 ml.
B.When acetone and CS2 are mixed at 35°C, heat is released.
C.When acetone and CS2 are mixed at 35°C, heat is absorbed.
D.Raoult’s law is obeyed by both CS2 and acetone for the solution in which the mole fraction of CS2 is 0.25.

Solution

For ideal behaviour,

Ptotal = 0.25 × 512 + 0.725 × 344 = 386 mm Hg < 600 mm Hg

Hence, the solution shows positive deviation ⇒ ΔHmix = positive

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