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For a binary ideal liquid solution, the total vapour pressure of the solution is given as

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$p_{t} = p_{A}^{o} + (p_{A}^{o} - p_{B}^{o}) X_{B}$

$p_{t} = {p_{B}}^{o} + ({p_{B}}^{o} - {p_{A}}^{o}) X_{A}$

$p_{t} = {p_{B}}^{o} + ({p_{A}}^{o} - {p_{B}}^{o}) X_{A}$

$p_{t} = {p_{B}}^{o} + ({p_{B}}^{o} - {p_{A}}^{o}) X_{B}$

answer is C.

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Detailed Solution

$\begin{array}{l} p_{t} = p_{A}^{o} . x_{A} + p_{B}^{o} . x_{B} \\ p_{t} = p_{B}^{o} + x_{A} (p_{A}^{o} - p_{B}^{o}) (x_{B} = 1 - x_{A}) \end{array}$

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