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1 mole of liquid A and 9 moles of liquid...

1 mole of liquid A and 9 moles of liquid B are mixed to form a solution. If `"P"_("B")^(@)=400"mm"` of Hg and `"P"_("A")^(@)=20 "mm"` of Hg at a temperature 'T' and normal boiling point of liquid B is 300K then answer the questions that follow.
Given data: `"K"_("b")=2.7"K kg mol"^(-1),` Molar mass of B=100
It is observed that pressure of vapour above the solution at 'T' Kelvin is 350 mm Hg. The true statement is :

A

The liquids form ideal solution.

B

The solute- solvent interactions are weaker than solvent- solvent or solute- solute interactions.

C

The volume of final solution will be lower than sum of individual volumes

D

The enthalpy change due to mixing will be zero.

Text Solution

Verified by Experts

The correct Answer is:
C
P=350 mm of Hg
`"P"_("T")="P"_("A")^(@)"x"_("A")+"P"_("B")^(@)"x"_("B")`
`20xx1/10+400xx9/10=362`
`"P"lt"P"_("T")`
-ve deviation
`Delta"V"_("mix")lt0`
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Knowledge Check

  • 1 mole of liquid A and 9 moles of liquid B are mixed to form a solution. If "P"_("B")^(@)=400"mm" of Hg and "P"_("A")^(@)=20 "mm" of Hg at a temperature 'T' and normal boiling point of liquid B is 300K then answer the questions that follow. Given data: "K"_("b")=2.7"K kg mol"^(-1), Molar mass of B=100 If 'A' is assumed to be perfectly non volatile then what will be normal boiling point of the solution.

    A
    300
    B
    300.3
    C
    303
    D
    300.003

  • 1 mole of liquid A and 9 moles of liquid B are mixed to form a solution. If "P"_("B")^(@)=400"mm" of Hg and "P"_("A")^(@)=20 "mm" of Hg at a temperature 'T' and normal boiling point of liquid B is 300K then answer the questions that follow. Given data: "K"_("b")=2.7"K kg mol"^(-1), Molar mass of B=100 If 'A' is perfectly non volatile and it dimerises to and extent of 60% then what will be the vapour pressure of the solution.

    A
    `360mm Hg`
    B
    `3600/9.7" mm Hg"`
    C
    `4000/9.7"mm Hg"`
    D
    `36mm Hg`

  • Pressure over ideal binary liquid mixture containing 10 moles each of liquid A and B is gradually decreased isothermally. If "P"_("A")^(@)=200"mm Hg " "and"" P"_("B")^(@)=100"mm Hg, " find the pressure at which half of the liquid is converted into vapour.

    A
    `150` mm Hg
    B
    166.5 mmHg
    C
    133 mmHg
    D
    141.4 mmHg

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