First slide

General discussion of solutions

Question

Mixture of volatile components A and B has total vapour pressure (in Torr) $p = 254 - 119 x_{A}$ , where $x_{A}$ is mole fraction of A in mixture. Hence $p_{A}^{\circ}$ and $p_{B}^{\circ}$ are (in Torr)

Difficult

A

$254, 119$
B

$119, 254$
C

$135, 254$
D

$119, 373$

Solution

$\begin{array}{l} P_{total} = P^{\circ} A X_{A} + {P^{\circ}}_{B} (1 - X_{A}) \\ P_{T} = {P^{\circ}}_{B} - X_{A} ({P^{\circ}}_{B} - {P^{\circ}}_{A}) \\ = 254 - X_{A} 119 \\ {P^{\circ}}_{B} = 254 \Rightarrow {P^{\circ}}_{B} - {P^{\circ}}_{A} = 119 \\ \Rightarrow 254 - 119 = {P^{\circ}}_{A} \\ ∴ {P^{\circ}}_{A} = 135 \end{array}$

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