SATHEE: Solutions Question 385

Solutions Question 385

Question: A mixture of A and B, which are two miscible liquids, is distilled under equilibrium conditions at atmospheric pressure. The mole fraction of A in solution is 0.3 and in vapour phase is 0.6. If the solution behaves ideally the ratio of $P,_{A}^{o}$ to $P,_{B}^{o}$ is

Options:

A) 4.0

B) 2.5

C) 3.5

D) 1.5

Show Answer

Answer:

Correct Answer: C

Solution:

In solution $X_{A} = 0.3$
$∴$ $X_{B} = 0.7$ In vapours $Y_{A} = 0.6 ∴ Y_{B} = 0.4$ Using Dalton’s law $Y_{A} = \frac{p_{A}}{p_{T}}$ i.e., $Y_{A} = \frac{p_{A}^{o} \times X_{A}}{P_{A}^{o} X_{A} + p_{B}^{o} X_{B}}$

$∴$ $Y_{B} = \frac{p_{B}^{o} X_{B}}{p_{A}^{o} X_{A} + p_{B}^{o} X_{B}}$

$∴$ $\frac{Y_{A}}{Y_{B}} = \frac{p_{B}^{o} X_{B}}{p_{B}^{o} X_{B}}$

$∴$ $\frac{p_{}^{o} A}{p_{}^{o} B} = \frac{Y_{A}}{Y_{B}} \times \frac{X_{B}}{X_{A}} = \frac{0.6}{0.4} \times \frac{0.7}{0.3} = 3.5$

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Solutions Question 385

Question: A mixture of A and B, which are two miscible liquids, is distilled under equilibrium conditions at atmospheric pressure. The mole fraction of A in solution is 0.3 and in vapour phase is 0.6. If the solution behaves ideally the ratio of P,Ao to P,Bo is

Options:

Answer:

Solution:

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Question: A mixture of A and B, which are two miscible liquids, is distilled under equilibrium conditions at atmospheric pressure. The mole fraction of A in solution is 0.3 and in vapour phase is 0.6. If the solution behaves ideally the ratio of $P,_{A}^{o}$ to $P,_{B}^{o}$ is