CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    Molar heat capacity of aluminium is\[25\text{ }J{{K}^{-1}}\] \[mo{{l}^{-1}}\]. The heat necessary to raise the temperature of 54 g of aluminium (atomic mass\[27\text{ }g\text{ }mo{{l}^{-1}}.\] from\[30{}^\circ C\]to\[50{}^\circ C\]is

    A)  1.5 kJ                   

    B)  0.5 kJ

    C)  1.0 kJ   

    D)         2.5 kJ

    E)  2.0 kJ

    Correct Answer: C

    Solution :

    The heat required to raise the temperature of 54 g of aluminium from\[30{}^\circ \]to\[50{}^\circ C\] \[q=nC({{T}_{2}}-{{T}_{1}})\] where n = moles of substance C = molar heat capacity \[=\frac{Mass\text{ }of\text{ }aluminium\text{ }(g)}{Molar\text{ }mass\text{ }of\text{ }aluminium}\times C\times \Delta T\] \[=\frac{54}{27}\times 25\times 20\,J\]       \[(\Delta T=50-30=20{}^\circ C)\] \[=1000\text{ }J=1.0\text{ }kJ\]


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