Question

An unknown metal of mass 192 g heated to a temperature of ${100}^{o}c$ was immersed into a brass calorimeter of mass 128g containing 240 g of water a temperature of ${8.4}^{o}C$ calculate the specific heat of the unknown metal if water temperature stabilizes at ${21.5}^{o}c$ (specific heat of brass is $394jK{g}^{-1}{k}^{-1}$

• A. 1232 J $k{g}^{-1}{K}^{-1}$
• B. 458 J $k{g}^{-1}{K}^{-1}$
• C. 654 J $k{g}^{-1}{K}^{-1}$
• D. 916 J $k{g}^{-1}{K}^{-1}$

Answer 1

Answer: (D)

916 J $k{g}^{-1}{K}^{-1}$

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