Question

An aluminium piece of mass 50g initially at ${300}^{\circ }C$ is dipped quickly and taken out of 1kg of water, initially at ${30}^{\circ }C$. If the temperature of the aluminium piece be $160\circ C$, what is the temperature of the water then (Specific heat capacities of aluminium and water are 900 $JK{g}^{-1}{K}^{-1}$ and 4200 $Jk{g}^{-1}{k}^{-1}$, respectively)

• A. ${165}^{\circ }C$
• B. ${45}^{\circ }C$
• C. ${31.5}^{\circ }C$
• D. ${28.5}^{\circ }C$

Answer 1

The correct option is C

${31.5}^{\circ }C$

Heat lost = heat gas

0.05 $\times$ 900 $\times$ (300 - 160) = 1 $\times$ 4200 $\times$ (T - 30)

T = ${31.5}^{\circ }$