$0.1 \,m^{3}$ of water at $80^{\circ} C$ is mixed with $0.3 \,m^{3}$ of water at $60^{\circ} C$. The final temperature of the mixture is (in $^{\circ} C$)

Ice at $0^oC$ is added to $200\,g$ of water initially at $70^oC$ in a vacuum flask. When $50\,g$ of ice has been added and has all melted,the temperature of the flask and contents is $40^oC$. When a further $80\,g$ of ice has been added and has all melted,the temperature of the whole is $10^oC$. Calculate the specific latent heat of fusion of ice. [Take $S_w = 1\,cal/g^oC$.]

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

An unknown metal of mass $192 \, g$ heated to a temperature of $100 \, ^oC$ was immersed into a brass calorimeter of mass $128 \, g$ containing $240 \, g$ of water at a temperature of $8.4 \, ^oC$. Calculate the specific heat of the unknown metal if the water temperature stabilizes at $21.5 \, ^oC$. (Specific heat of brass is $394 \, J \, kg^{-1} \, K^{-1}$, specific heat of water is $4186 \, J \, kg^{-1} \, K^{-1}$) ......... $J \, kg^{-1} \, K^{-1}$

Steam is passed into $22 \, g$ of water at $20^{\circ}C$. The mass of water that will be present when the water acquires a temperature of $90^{\circ}C$ is ........ $g$. (Latent heat of steam is $540 \, cal/g$)

$2 \ kg$ of ice at $-20^{\circ} C$ is mixed with $5 \ kg$ of water at $20^{\circ} C$. The final mass of water formed is: (in $kg$)