Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    What is the entropy change (in \[J{{K}^{-1}}\,\,mo{{l}^{-1}}\]) when one mole of ice is converted into water at \[{{0}^{o}}C\]? (The enthalpy change for the conversion of ice to liquid water is \[6.0\text{ }kJ\text{ }mo{{l}^{-1}}\]at\[{{0}^{o}}C\]).

    A)  \[20.13\]            

    B)  \[2.013\]

    C)  \[2.198\]            

    D)  \[21.98\]

    Correct Answer: D

    Solution :

    \[\Delta {{S}_{fus}}=\frac{\Delta {{H}_{fus}}}{{{T}_{m}}}\] \[=\frac{6.0}{273}kJ\,{{K}^{-1}}\,mo{{l}^{-1}}\] \[\therefore \]  \[\Delta {{S}_{fus}}=0.021978kJ\,{{K}^{-1}}\,mo{{l}^{-1}}\] \[1kJ\,=1000J\] \[\therefore \]  \[\Delta {{S}_{fus}}=0.021978\times 1000\,\,J{{K}^{-1}}\,mo{{l}^{-1}}\]                 \[=21.978\,\,J{{K}^{-1}}\,mo{{l}^{-1}}\]


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