The vapour pressure of pure liquids 'P' and 'Q' are 450 and 750 mm of Hg respectively at 350 K . If total vapour pressure is 600 mm of Hg , the mole fractions of 'P' and 'Q' respectively will be _ and _ .

A 0.7 and 0.3
B 0.4 and 0.6
C 0.6 and 0.4
D 0.5 and 0.5

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Answer & Solution

Correct Answer

(D) 0.5 and 0.5

Step-by-step Solution

Detailed explanation

\( P_{total} = X_P P_P^0 + (1 - X_P) P_Q^0 \) \( 600 = X_P (450) + (1 - X_P) (750) \)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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The vapour pressure of pure liquids 'P' and 'Q' are 450 and 750 mm of Hg respectively at 350 K . If total vapour pressure is 600 mm of Hg , the mole fractions of 'P' and 'Q' respectively will be _______ and _______ .

Step-by-step Solution

The vapour pressure of pure liquids 'P' and 'Q' are 450 and 750 mm of Hg respectively at 350 K . If total vapour pressure is 600 mm of Hg , the mole fractions of 'P' and 'Q' respectively will be _ and _ .