CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    45 g of ethylene glycol is mixed with 600 g of water. What is the freezing point of the solution?                 \[({{k}_{f}}=1.86\text{ }K\text{ }kg\text{ }mo{{l}^{-1}})\]

    A)  \[-270.90\text{ }K\]     

    B)         \[270.90\text{ }K\]

    C)  \[273\text{ }K\]              

    D)         \[274.15\text{ }K\]

    E)  \[-\text{ }274.15\text{ }K\]

    Correct Answer: B

    Solution :

    \[\Delta {{T}_{f}}=\frac{{{k}_{f}}\times {{w}_{B}}\times 1000}{{{w}_{A}}\times {{w}_{B}}}\] \[{{w}_{A}}=600g,{{w}_{B}}=45g,{{k}_{f}}=1.86K\,kg\,mo{{l}^{-1}}\] \[{{M}_{B}}=62g\,mo{{l}^{-1}}\] \[\therefore \]\[\Delta {{T}_{f}}=\frac{1.86\times 45\times 1000}{600\times 62}=2.25\,K\] Hence, freezing point of aqueous solution \[=273.15-2.25\] \[=270.90\text{ }K\]


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