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$P_{A} and P_{B}$ are the vapour pressure of pure liquid components,
A and B, respectively of an ideal binary solution. If X A represents
the mole fraction of component A, the total pressure of the solution
will be

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$P_{B} + X_{A} (P_{B} - P_{A})$

$P_{B} + X_{A} (P_{A} - P_{B})$

$P_{A} + X_{A} (P_{A} - P_{B})$

$P_{A} + X_{A} (P_{B} - P_{A})$

answer is D.

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Detailed Solution

$\begin{array}{l} P = P_{A} X_{A} + P_{B} X_{B} \\ = P_{A} X_{A} + P_{B} (1 - X_{A}) \\ \Rightarrow P_{A} X_{A} + P_{B} - P_{B} X_{A} \Rightarrow P_{B} + X_{A} (P_{A} - P_{B}) \end{array}$

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