First slide

General discussion of solutions

Question

Liquids A and B form ideal solution for all compositions of A and B at 25°C. Two such solutions with 0.25 and 0.50 mole fractions of A have the total vapor pressures of 0.3 and 0.4 bar, respectively. What is the vapor pressure of pure liquid B in bar?

Moderate

Solution

$\begin{array}{l} P_{T} = P_{A}^{0} X_{A} + P_{B}^{0} X_{B} \\ 0.3 = P_{A}^{0} \times 0.25 + P_{B}^{\infty} \times 0.75 . . . (1) \\ 0.4 = P_{A}^{\infty} \times 0.5 + P_{B}^{\circ} \times 0.5 \\ 0.8 = P_{A}^{o} + P_{B}^{o} . . . . (2) \\ {on solving eq}^{n} (i) \& (ii) \\ P_{A}^{0} = 0.6, P_{B}^{c} = 0.2 \end{array}$

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