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Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    The molar heat capacity  of water at constant pressure, is \[75J\,\,{{K}^{-1}}\text{ }mo{{l}^{-1}}\]. When \[1.0\text{ }kJ\]of heat is supplied to \[100\text{ }g\]of water which is free to expand, the increase in temperature of water is

    A)  \[1.2K\]                              

    B)  \[2.4\text{ }K\]

    C)  \[4.8\text{ }K\]               

    D)  \[6.6\text{ }K\]

    Correct Answer: B

    Solution :

    Given, \[C=75\,J{{K}^{-1}}\,mo{{l}^{-1}}\] \[q=1.0kJ\] or \[1000J\] \[C=\frac{q}{m({{T}_{2}}-{{T}_{1}})}\]                 \[\Rightarrow \]               \[75=\frac{1000}{5.55\times \Delta T}\left\{ m=\frac{100}{18}=5.55 \right\}\]                 \[\therefore \]  \[\Delta T=2.4K\]


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