The equation of the curve obtained by connecting all those points where the vapors of above mixture (all mixtures of different composition are taken) just start forming will be

P = P_{C}^{o} + (P_{B}^{o} - P_{C}^{o}) X_{B}^{l}

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P = P_{B}^{o} + (P_{B}^{o} - P_{C}^{o}) X_{B}^{l}

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P = \frac{P_{B}^{o} P_{C}^{o}}{X_{B}^{o} (P_{C}^{o} - P_{B}^{o}) + P_{B}^{o}}

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P = \frac{P_{B}^{o} P_{C}^{o}}{X_{B}^{l} (P_{C}^{o} - P_{B}^{o}) + P_{B}^{o}}

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Solution

The correct option is C $P = P_{C}^{o} + (P_{B}^{o} - P_{C}^{o}) X_{B}^{l}$
The equation of the curve obtained by connecting all those points where the vapors of above mixture (all mixtures of different composition are taken) just start forming will be

$P = P_{C}^{o} X_{C}^{l} + P_{B}^{o} - X_{B}^{l}$
$= P_{C}^{o} (1 - X_{B}^{l}) + P_{B}^{o} - X_{B}^{l}$
$= P_{C}^{o} + (P_{B}^{o} - P_{C}^{o}) X_{B}^{l}$
Because $X_{C}^{l} = 1 - X_{B}^{l}$

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