BCECE Medical BCECE Medical Solved Papers-2015

  • question_answer
    Argon crystallises in fee arrangement and the density of solid and liquid Ar is \[1.59\,\,g/c{{m}^{3}}\] and \[1.42\,\,g/c{{m}^{3}}\], respectively. The percentage of empty space in liquid Ar is

    A)  34.84%

    B)  43.8% 

    C)  23.4% 

    D)  21.6%

    Correct Answer: A

    Solution :

    Let the volume of solid Ar = 100 mL Mass of solid \[Ar=V\times \rho =100\times 1.59\,g/c{{m}^{3}}=159\,g\] Volume of liquid Ar \[=\frac{Mass}{\rho }=\frac{159\,\,g}{1.4\,g\,c{{m}^{-3}}}=113.57\,ml\] \[\because \] Ar crystallises in fee type lattice, the packing fraction = 0.74 Actual volume occupied by Ar                 = Packing fraction \[\times \] Volume of solid Ar                 \[=0.74\times 100=74\,mL\] \[\therefore \,%\] empty space in liquid\[Ar=\frac{(113.57-74)\times 100}{113.57}\] \[=34.84\,%\]


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