A metal bal of mass $0.1\, kg$ is heated upto $500\,{}^oC$ and dropped into a vessel of heat capacity $800\, JK^{-1}$ and containing $0.5\, kg$ water. The initial temperature of water and vessel is $30\,{}^oC$. ........ $\%$ is the approximate percentage increment in the temperature of the water. [Specific heat Capacities of water and metal are, respectively $4200\, Jkg^{-1}K^{-1}$ and $400\, Jkg^{-1}K^{-1}$]

$0.1\,m^3$ of water at $80\,^oC$ is mixed with $0.3\,m^3$ of water at $60\,^oC$. The final temperature of the mixture is ........ $^oC$

Compared to a burn due to water at $100°C$, a burn due to steam at $100°C$ is

$10 \,\,gm$ of ice at $0^o C$ is kept in a calorimeter of water equivalent $10 \,\,gm$. ....... $cal$ heat should be supplied to the apparatus to evaporate the water thus formed? (Neglect loss of heat)

A $2\,kg$ copper block is heated to $500^o\,C$ and then it is placed on a large block of ice  at $0^o\,C$. If the specific heat capacity of copper is $400\, J/kg/ ^o\,C$ and latent heat of  fusion of water is $3.5 \times 10^5\, J/kg$, the amount of ice, that can melt is :-

$1\ gm$ of ice at $0^o C$ is mixed with $1gm$ of water at $100^o C$ the resulting temperature will be .......... $^oC$