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Anomalous Expansion of Water

For a binary ...

Question

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

$P_{t o t a l} = P_{A}^{\circ} + (P_{A}^{\circ} - P_{B}^{\circ}) X_{B}$

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$P_{t o t a l} = P_{B}^{\circ} + (P_{A}^{\circ} - P_{B}^{\circ}) X_{A}$

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$P_{t o t a l} = P_{B}^{\circ} + (P_{B}^{\circ} - P_{A}^{\circ}) X_{A}$

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$P_{t o t a l} = P_{B}^{\circ} + (P_{B}^{\circ} - P_{A}^{\circ}) X_{B}$

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Solution

The correct option is B
$P_{t o t a l} = P_{B}^{\circ} + (P_{A}^{\circ} - P_{B}^{\circ}) X_{A}$

$P_{t o t a l} = P_{A} + P_{B}$

$= X_{A} P_{A}^{\circ} + X_{B} P_{B}^{\circ}$

$= X_{A} P_{A}^{\circ} + (1 - X_{A}) P_{B}^{\circ}$

$= X_{A} P_{A}^{\circ} + P_{B}^{\circ} - X_{A} P_{B}^{\circ}$

$= P_{B}^{\circ} + (P_{A}^{\circ} - P_{B}^{\circ}) X_{A}$

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Similar questions

Q. For which of the following binary solution

P_{T o t a l} = P_{A}^{o} \times X_{A} + P_{B}^{o} \times X_{B}

is followed?

Q. An ideal binary solution is prepared by two liquids A and B, with p

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

The correct option is B Ptotal=P∘B+(P∘A−P∘B)XA Ptotal=PA+PB =XAP∘A+XBP∘B =XAP∘A+(1−XA)P∘B =XAP∘A+P∘B−XAP∘B =P∘B+(P∘A−P∘B)XA