NEET Chemistry Solutions / विलयन Question Bank Self Evaluation Test - Solutions

  • question_answer
    \[{{P}_{A}}\]and \[{{P}_{B}}\] are the vapour pressure of pure liquid components, A and B, respectively of an ideal binary solution. If \[{{X}_{A}}\]represents the mole fraction of component A, the total pressure of the solution will be. 

    A) \[{{P}_{A}}+{{X}_{A}}({{P}_{B}}-{{P}_{A}})\]       

    B) \[{{P}_{A}}+{{X}_{A}}({{P}_{A}}-{{P}_{B}})\]

    C) \[{{P}_{B}}+{{X}_{A}}({{P}_{B}}-{{P}_{A}})\]       

    D) \[{{P}_{B}}+{{X}_{A}}({{P}_{A}}-{{P}_{B}})\]

    Correct Answer: D

    Solution :

    [d] \[P={{P}_{A}}{{X}_{A}}+{{P}_{B}}{{X}_{B}}\] \[={{P}_{A}}{{X}_{A}}+{{P}_{B}}(1-{{X}_{A}})\] \[\Rightarrow {{P}_{A}}{{X}_{A}}+{{P}_{B}}-{{P}_{B}}{{X}_{A}}\] \[\Rightarrow {{P}_{B}}+{{X}_{A}}({{P}_{A}}-{{P}_{B}})\]


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