Punjab Medical Punjab - MET Solved Paper-2010

  • question_answer
    An adulterated sample of milk has a density of\[1032kg{{m}^{-3}}\], while pure milk has a density of\[1080kg{{m}^{-3}}\]. Then the volume of pure milk in a sample of \[10L\] of adulterated milk is

    A) \[0.5L\]                                

    B) \[1.0L\]

    C) \[2.0L\]                                

    D) \[4.0L\]

    Correct Answer: D

    Solution :

    Mass of adulterated milk \[{{M}_{A}}=1032\times 10\times {{10}^{-3}}=10.32kg\] Mass of pure milk\[{{M}_{p}}=1080\,\,{{V}_{P}}\] \[\therefore \]Mass of water\[{{\rho }_{w}}{{V}_{w}}={{M}_{A}}-{{M}_{p}}\] \[\Rightarrow \]\[{{10}^{3}}(10\times {{10}^{-3}}-{{V}_{p}})=10.32-1080\,\,{{V}_{p}}\] \[\Rightarrow \]               \[10-{{10}^{3}}{{V}_{p}}=10.32-1080\,\,{{V}_{p}}\] \[\therefore \]  \[{{V}_{p}}=\frac{0.32}{80}{{m}^{3}}=\frac{0.32}{80}\times 1000L\]


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