Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    At \[{{27}^{o}}C\]latent heat of fusion of a compound is  \[2930\text{ }J/mol,\] then entropy change is

    A)  \[9.77J/mol-K\]

    B)  \[10.77\text{ }J/mol-K\]

    C)  \[9.07\text{ }J/mol-K\]

    D)  \[0.977\text{ }J/mol-K\]

    Correct Answer: A

    Solution :

    \[\Delta {{S}_{fus}}=\frac{\Delta {{H}_{fus}}}{{{T}_{m}}}\] where, \[\Delta {{S}_{fus}}\]  = entropy change of fusion \[\Delta {{H}_{fus}}\]=  enthalpy change of fusion Since, the heat absorbed is equal to the latent heat of fusion. \[{{T}_{m}}\]= melting temperature in degree kelvin                 \[=\frac{2930J/mol}{300K}\] \[\therefore \]\[\Delta {{S}_{fus}}=9.766\,J\,mo{{l}^{-1}}\,{{K}^{-1}}\]


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