Question

Metal nails weighing $100g$ are heated to ${100}^{o}C$ and dropped into a copper calorimeter of mass $100g$ containing $40g$ of water at $1^{o}C$. If the resulting temperature is ${10}^{o}C$, the specific heat of metal is (Sp. heat of copper is $0.1cal{g}^{-1}{}^o{C}^{-1}$):

• A. $0.01cal{g}^{-1}{}^o{C}^{-1}$
• B. $0.05cal{g}^{-1}{}^o{C}^{-1}$
• C. $0.03cal{g}^{-1}{}^o{C}^{-1}$
• D. $0.5cal{g}^{-1}{}^o{C}^{-1}$

Answer 1

The correct option is B $0.05cal{g}^{-1}{}^o{C}^{-1}$

By heat balance, heat lost is equal to heat gained.

$m_1{s}_1\Delta T_1=m_2{s}_2\Delta T_2$

$100\times (100-10)\times C=100\times 0.1\times (10-1)+40\times 1\times (10-1)$

So, $C=0.05cal{g}^{-1}{}^o{C}^{-1}$