A metal ball of mass 0.1 kg is heated upto 500°C and dropped into a vessel of heat capacity 800 JK^-1 and containing 0.5 kg water. The initial…

A metal ball of mass $\displaystyle 0.1$ kg is heated upto $\displaystyle 500$°C and dropped into a vessel of heat capacity $\displaystyle 800 \mathrm{JK}^{-1}$ and containing $\displaystyle 0.5$ kg water. The initial temperature of water and vessel is $\displaystyle 30^{\circ} \mathrm{C}$. What is the approximate percentage increment in the temperature of the water ? [ Specific Heat Capacities of water and metal are, respectively, $\displaystyle 4200 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}$ and $\displaystyle 400 \mathrm{Jkg}^{-1} \mathrm{~K}^{-1}$ ]