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Manipal Medical Manipal Medical Solved Paper-2015

  • question_answer
    The density of water and ethanol at room temperature is 1.0 g/mL and 0.789 g/mL respectively. What volume of ethanol contains the same number of molecules as are present in 100 mL of water?

    A) 307.8 mL                 

    B) 168.7 mL

    C) 323.9 mL                 

    D) 253.3 mL

    Correct Answer: C

    Solution :

    Equal number of moles contain equal number of molecules. \[\frac{wt.\,of\,{{C}_{2}}{{H}_{5}}OH}{mol.\,wt.\,of\,{{C}_{2}}{{H}_{5}}OH}=\frac{wt.\,of\,{{H}_{2}}O}{mol.\,wt.\,of\,{{H}_{2}}O}\] \[\frac{0.789\times volume\,\,of\,{{C}_{2}}{{H}_{5}}OH}{46}=\frac{1.0\times 100}{18}\] Volume of \[{{C}_{2}}{{H}_{5}}OH=\frac{100}{8}\times \frac{46}{0.789}\]                                       \[=323.9\,\,mL\]


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