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Standard XII

Chemistry

Ideal Solutions

Two liquids X...

Question

Two liquids X and Y form an ideal solution. At 300 K, vapour pressure of the solution containing 1 mol of X and 3 mol of Y is 550 mm of Hg. At the same temp, if 1 mole of Y is further added to this solution, vapour prossure of the solution increases by 10 mm Hg. Vapour pressure of X and Y in their pure state will be, respectively:

300 and 400

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400 and 600

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500 and 600

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200 and 300

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Solution

The correct option is B 400 and 600
$P_{t o t a l} = [P_{A}^{\circ} x_{A} + P_{B}^{\circ} x_{B}] 550 = P_{A}^{\circ} \times \frac{1}{4} + P_{B}^{\circ} \times \frac{3}{4} P_{A}^{\circ} + 3 P_{B}^{\circ} = 550 \times 4$
In second case
$P_{t o t a l} = P_{A}^{\circ} \times \frac{1}{5} + P_{B}^{\circ} \times \frac{4}{5} P_{A}^{\circ} + 4 P_{B}^{\circ} = 560 \times 5$
Subtract (i) from (ii)
$P_{B}^{\circ} = 600; P_{A}^{\circ} = 400$

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Similar questions

Q. Two liquids X and Y forms an ideal solution. At 300 K, the vapour pressure of the solution containing 1 mole of X and 3 moles of Y is 550 mm Hg. At the same temperature if 1 mole of Y is further added to this solution, the vapour pressure of the solution increases by 10 mm Hg.
The vapour pressure (in mm Hg) of X and Y in their pure states will be respectively:

Two liquids X and Y form an ideal solution.At 300 K,vapour pressure of the solution containing 1 mol of X and 3 mol of Y is 550 mm Hg.At the same temperature, if 1 mol of Y is further added to this solution,vapour pressure of the solution increases by 10mm Hg.So, vapour pressure (in mm Hg) of X and Y in their pure states will be, respectively,

Q. Two liquids

X

and

Y

form an ideal solution. At

300 K

, vapour pressure of the solution containing

1 m o l

X

and

3 m o l

Y

550 m m H g

. At the same temperature, if

1 m o l

Y

is further added to this solution, vapour pressure of the solution increases by

10 m m H g

. Vapour pressure (in

m m H g

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X

and

Y

in their pure states will be ______ respectively.

Q. Two liquids X and Y form an ideal solution. At

300

K, vapour pressure of the solution containing

1

mol of X and

3

mol of Y is

550

mm Hg. At the same temperature, if

1

mol of Y is further added to this solution, vapour pressure of the solution increases by

10

mmHg. Vapour pressure (in mm Hg) of X and Y in their pure states will be ________ respectively.

Two liquids $X$ and $Y$ form an ideal solution at 300 K, vapour pressure of the solution containing 1 mole of $X$ and 3 mole of $Y$ is 550 mm Hg. At the same temperature, 1 mole of $Y$ is further added to this solution and the vapour pressure of the solution increases by 10 mm Hg. Vapour pressure (in mm Hg) of $X$ and $Y$ in their pure states will be, respectively:

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The correct option is B 400 and 600Ptotal=[P∘AxA+P∘BxB]550=P∘A×14+P∘B×34P∘A+3P∘B=550×4 In second case Ptotal=P∘A×15+P∘B×45P∘A+4P∘B=560×5 Subtract (i) from (ii) P∘B=600;P∘A=400