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Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xa and xb, respectively, has vapour pressure of 22.5 Torr. The value of xa/xb in the new solution is______. (given that the vapour pressure of pure liquid A is 20 Torr at temperature T)
    Correct answer is '19'. Can you explain this answer?
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    Liquids A and B form ideal solution over the entire range of compositi...
    The total vapor pressure is,

    The new total vapor pressure is,

    As it is known that xA + xB= 1, therefore, xB = 0.05 .
    So
    , 
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    Liquids A and B form ideal solution over the entire range of compositi...
    Given


    • Liquids A and B form ideal solution over the entire range of composition.

    • At temperature T, equimolar binary solution of liquids A and B has vapor pressure 45 Torr.

    • At the same temperature, a new solution of A and B having mole fractions xa and xb, respectively, has vapor pressure of 22.5 Torr.

    • The vapor pressure of pure liquid A is 20 Torr at temperature T.



    To Find

    The value of xa/xb in the new solution.

    Solution

    According to Raoult's law, the vapor pressure of a component in a solution is proportional to its mole fraction in the solution.

    Let the mole fraction of A in the equimolar binary solution be x. Then, using Raoult's law:

    Vapor pressure of A = x * P°A

    Vapor pressure of B = (1 - x) * P°B (since it is an equimolar solution, mole fraction of B is also x)

    Given that the vapor pressure of the equimolar binary solution is 45 Torr:

    x * P°A + (1 - x) * P°B = 45

    Similarly, for the new solution:

    Vapor pressure of A = xa * P°A

    Vapor pressure of B = xb * P°B

    Given that the vapor pressure of the new solution is 22.5 Torr:

    xa * P°A + xb * P°B = 22.5

    Dividing the second equation by the first equation, we get:

    (xa * P°A + xb * P°B) / (x * P°A + (1 - x) * P°B) = 22.5 / 45

    Substituting the given values and simplifying, we get:

    xa/xb = (9/4) * (20/P°B - 1)

    Substituting P°B = 45/2 (since it is an equimolar binary solution), we get:

    xa/xb = (9/4) * (20/(45/2) - 1) = 19


    Answer

    The value of xa/xb in the new solution is 19.
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    Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xa and xb, respectively, has vapour pressure of 22.5 Torr. The value of xa/xb in the new solution is______. (given that the vapour pressure of pure liquid A is 20 Torr at temperature T)Correct answer is '19'. Can you explain this answer?
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    Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xa and xb, respectively, has vapour pressure of 22.5 Torr. The value of xa/xb in the new solution is______. (given that the vapour pressure of pure liquid A is 20 Torr at temperature T)Correct answer is '19'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xa and xb, respectively, has vapour pressure of 22.5 Torr. The value of xa/xb in the new solution is______. (given that the vapour pressure of pure liquid A is 20 Torr at temperature T)Correct answer is '19'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions xa and xb, respectively, has vapour pressure of 22.5 Torr. The value of xa/xb in the new solution is______. (given that the vapour pressure of pure liquid A is 20 Torr at temperature T)Correct answer is '19'. Can you explain this answer?.
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