For an ideal binary liquid solution with $p_{A} > p_{B}$ , which of the following is true?

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$\begin{aligned} {(x_{A})}_{liquid} = {(x_{B})}_{vapour} \end{aligned}$

$\begin{array}{r} {(x_{A})}_{liquid} > {(x_{B})}_{vapour} \end{array}$

$\begin{array}{r} {(x_{A})}_{liquid} < {(x_{B})}_{vapour} \end{array}$

${(x_{A})}_{liquid} and {(x_{B})}_{vapour}$ do not bear any relationship with each other

answer is B.

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Detailed Solution

We have,

$P_{A} = y_{A} * P_{total}$

and

$P_{A} = P_{A}^{0} * x_{A}$

that means $y_{A}$ is directly propertional to $X_{A}$

so, if $p_{A} > p_{B}$ then $x_{A} > x_{B}$ .

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