The molar volume of liquid benzene (density=0.877gml−1) increases by a factor of 2750 as it vaporizes at 20∘C and that of liquid toluene (density=0.867gml−1)increases by a factor of 7720 at 20∘C. A solution of benzene and toluene has a vapour pressure of 46.0 torr. Find the mole fraction of benzene in the vapour above the solution:
0.38
0.53
0.47
0.62
A
0.53
B
0.62
C
0.38
D
0.47
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Solution
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Let the mole fraction of benzene be x. Let the total number of moles of the solution be 1. Hence, the number of moles of benzene are x.
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Q1
The molar volume of liquid benzene (density=0.877gml−1) increases by a factor of 2750 as it vaporizes at 20∘C and that of liquid toluene (density=0.867gml−1)increases by a factor of 7720 at 20∘C. A solution of benzene and toluene has a vapour pressure of 46.0 torr. Find the mole fraction of benzene in the vapour above the solution:
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Q2
The molar volume of liquid benzene (density=0.877gmL−1) increase by a factor of 2750 as it vaporizes at 20∘C and that of liquid toluene (density=0.867gmL−1) increases by a factor of 7720 at 20∘C solution has vapour pressure of 46.0torr. Find the mole fraction of benzene in the vapour above the solution.
(write the value to the nearest integer)
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Q3
A cylinder contains 0.9 moles of benzene vapour and 0.1 moles of toluene vapour at 50oC . The pure vapour pressure of benzene liquid and the pure vapour pressure of toluene liquid at 50oC are 600 torr and 200 torr respectively.
What is the mole fraction of liquid benzene in the solution?
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Q4
The molar volume of liquid benzene (density=0.877gmL−1) increases by a factor of 2750 as it vaporises at 20∘C while in equilibrium with liquid benzene. At 27∘C when a non-volatile solute (that does not dissociate) is dissolved in 54.6cm3 of the benzene vapour pressure of this solution, is found to be 98.88mmHg.
Calculate the freezing point of the solution. Given: Enthalpy of vaporisation of benzene (l)=394.57J/g Molal depression constant for benzene=5.12Kkg.mol−1 Freezing point of benzene=278.5K.
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Q5
At 880C, benzene has a vapour pressure of 900 torr and toluene has a vapour pressure of 360 torr. What is the mole fraction of benzene in the mixture with toluene that will boil at 880C at 1 atm pressure, benzene -toluene from an ideal solution?