Q. 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 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 $J \; kg^{-1} \; K^{-1}$)

Solution:

$192 \times S \times (100 - 21.5)$
$= 128 \times 394 \times (21.5 - 8.4)$
$+ 240 \times 4200 \times (21.5 - 8.4)$
$\Rightarrow \; S = 916$

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