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NEET Sample Paper NEET Sample Test Paper-13

  • 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) \[{{p}_{B}}+{{x}_{A}}({{p}_{B}}-{{p}_{A}})\]        

    B) \[{{p}_{A}}+{{x}_{A}}({{p}_{A}}-{{p}_{B}})\]

    C) \[{{p}_{A}}+{{x}_{A}}({{p}_{B}}-{{p}_{A}})\]        

    D) \[{{p}_{B}}+{{x}_{A}}({{p}_{A}}-{{p}_{B}})\]

    Correct Answer: D

    Solution :

    \[{{P}_{M}}=P{{'}_{A}}+P{{'}_{B}}\] \[={{P}_{A}}.{{x}_{A}}+{{P}_{B}}.{{x}_{B}}(\because \,P{{'}_{A}}={{P}_{A}}.{{x}_{A}})\] \[={{P}_{A}}.{{x}_{A}}+{{P}_{B}}(1-{{x}_{A}})(\because \,{{x}_{A}}+{{x}_{B}}=1)\] \[={{P}_{B}}+{{x}_{A}}+({{P}_{A}}-{{P}_{B}})\]


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