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KVPY Sample Paper KVPY Stream-SX Model Paper-28

  • question_answer
    An unknown metal of mass 192 g heated to a temperature of\[100{}^\circ C\] was immersed into a brass calorimeter of mass 128 g containing 240 g of water at a temperature of \[8.4{}^\circ C.\] Calculate the specific heat of the unknown metal if water temperature stabilizes at \[21.5{}^\circ C.\] (Specific heat of brass is\[394\text{ }J\text{ }k{{g}^{-1}}\text{ }{{K}^{-1}}\])

    A) \[458\text{ }J\text{ }k{{g}^{-1}}{{K}^{-1}}\]

    B) \[1232\text{ }J\text{ }k{{g}^{-1}}{{K}^{-1}}\]

    C) \[916\text{ }J\text{ }k{{g}^{-1}}{{K}^{-1}}\]

    D) None of these

    Correct Answer: D

    Solution :

    Heat loss = Heat gain
    \[192\times S(100-21.5)=(128\times 0.394+240\times 4.2)\]
    \[(21.5-8.4)\]
    \[192\times 78.5\times S=1058.432\times 13.1\]
    \[S=0.91995\text{ }J/g\text{ }{{K}^{-1}}\]
    \[S=919.95\text{ }J/kg\text{ }{{K}^{-1}}\]


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