$10 \,\,gm$ 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)

Work done in converting $1\, g$ of ice at $-10\,^oC$ into steam at $100\,^oC$ is ......... $J$

When $x\, grams$ of steam at $100\,^oC$ is mixed  with $y\,grams$ of ice at $0\,^oC$ , We obtain $(x + y)\,grams$ of water at $100\,^oC$  . What is the ratio $y/x$ ?

A $10.0 \,W$ electrical heater is used to heat a container filled with $0.5 \,kg$ of water.It is found that the temperature of the water and the container rose by $3 \,K$ in $15 \,min$. The container is then emptied, dried and filled with $2 \,kg$ of an oil. It is now observed that the same heater raises the temperature of the container-oil system by $2 \,K$ in $20 \,min$. Assuming no other heat losses in any of the processes, the specific heat capacity of the oil is ................ $ \times 10^3 \,JK ^{-1} kg ^{-1}$

An aluminium piece of mass $50 \,g$ initially at $300^{\circ} C$ is dipped quickly and taken out of $1 \,kg$ of water, initially at $30^{\circ} C$. If the temperature of the aluminium piece immediately after being taken out of the water is found to be $160^{\circ} C$, the temperature of the water ............ $^{\circ} C$ Then, specific heat capacities of aluminium and water are $900 \,Jkg ^{-1} K ^{-1}$ and $4200 \,Jkg ^{-1} K ^{-1}$, respectively.

If an electric heater is rated at $1000\, W$, then the time required to heat one litre of water from $20\,^oC$ to $60\,^oC$ is