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CMC Medical CMC-Medical VELLORE Solved Paper-2013

  • question_answer
    \[x\]grams of water is mixed in 69 g ethanol. Mole fraction of ethanol in the resultant solution is 0.6. What is the value of\[x\]in grams?

    A)  54                         

    B)  36     

    C)  18                         

    D)  9

    Correct Answer: C

    Solution :

                    \[{{w}_{A}}=xg,\] \[{{m}_{A}}=18,\] \[{{x}_{A}}=1-0.6=0.4\] \[{{w}_{B}}=69g,\]\[{{m}_{B}}=46,\]\[{{x}_{B}}=0.6,\]\[{{x}_{A}}=\frac{{{n}_{A}}}{{{n}_{A}}+{{n}_{B}}}\] \[0.4=\frac{{{w}_{A}}/{{m}_{A}}}{{{w}_{A}}/{{m}_{A}}+{{w}_{_{2}}}/{{m}_{B}}}=\frac{x/18}{\frac{x}{18}+\frac{69}{45}}\] \[x=18\]


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