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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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    Solution:

    Given:

    Vapour pressure of equimolar binary solution of A and B = 45 Torr

    Vapour pressure of new solution of A and B with mole fractions xA and xB = 22.5 Torr

    Vapour pressure of pure liquid A at temperature T = 20 Torr

    To find:

    Mole fraction of A in the new solution, i.e. xA/xB

    Using Raoult's law,

    Ptotal = PA° xA + PB° xB

    Where Ptotal is the total vapour pressure of the solution, PA° and PB° are the vapour pressures of pure A and B respectively and xA and xB are the mole fractions of A and B in the solution.

    At equimolar composition, xA = xB = 0.5

    Therefore,

    45 = PA° (0.5) + PB° (0.5) --- (1)

    At mole fractions xA and xB, vapour pressure is 22.5 Torr.

    Therefore,

    22.5 = PA° xA + PB° xB --- (2)

    We are given PA° = 20 Torr.

    Substituting in equations (1) and (2),

    45 = 20 (0.5) + PB° (0.5)

    PB° = 50 Torr

    And,

    22.5 = 20 xA + 50 xB

    Dividing by 2.5 and substituting PB° = 50 Torr,

    9 = 4 xA + 10 xB

    Solving equations (1) and (3) simultaneously,

    xA/xB = 19

    Therefore, the mole fraction of A in the new solution is 19 times that of B.
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    Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolarbinary 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/xBin 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, equimolarbinary 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/xBin 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, equimolarbinary 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/xBin 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, equimolarbinary 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/xBin 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?.
    Solutions for Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolarbinary 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/xBin 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? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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