CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

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

    A)  0.5 L                     

    B)         1.0 L                     

    C)  2.0 L                     

    D)         3.0 L

    E)  4.0 L

    Correct Answer: E

    Solution :

    Mass of adulterated milk \[{{M}_{A}}=1032\times 10\times {{10}^{-3}}\] \[=10.32\text{ }kg\] Mass of pure mil \[{{M}_{p}}=1080\text{ }{{V}_{p}}\] \[\therefore \] Mass of water \[{{\rho }_{w}}\,{{V}_{w}}={{M}_{A}}-{{M}_{p}}\] \[\Rightarrow \] \[{{10}^{3}}(10\times {{10}^{-3}}-{{V}_{p}})=10.32-1080\,{{V}_{p}}\] \[\Rightarrow \]               \[10-{{10}^{3}}{{V}_{p}}=10.32-1080\,{{V}_{p}}\] \[\Rightarrow \]               \[80{{V}_{p}}=0.32\] \[\therefore \]  \[{{V}_{p}}=\frac{0.32}{80}{{m}^{3}}\]                 \[=\frac{0.32}{80}\times 1000\,L\]                 \[=4\,L\]


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