A metal cylinder of $20 \mathrm{g}$ is heated to a steady temperature of ${100}^{°}\mathrm{C}$ and then dropped into a calorimeter of mass $50 \mathrm{g}$ containing $70 \mathrm{g}$ of water of ${20}^{°}\mathrm{C}$. After stirring, the highest steady temperature of the mixture is observed to be ${23}^{°}\mathrm{C}$. Write the value of specific heat capacity of the metal of the cylinder to the nearest integer(in $\mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$).

(specific heat capacity of water $=4200 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$, specific heat capacity of calorimeter (copper) $=400 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$).

A cube of ice of mass $100 \mathrm{g}$ is dropped into $800 \mathrm{g}$ of water at $30 °\mathrm{C}$. Calculate the final temperature(in $°\mathrm{C}$) of the mixture. Round off answer to two decimal places.

Specific latent heat of fusion of ice$=80 \mathrm{cal} {\mathrm{g}}^{-1}$, specific heat capacity of water$=1 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$.

Note: Write only numeric value.

Steam at ${100}^{°}\mathrm{C}$ is passed over a $1.5 \mathrm{kg}$ block of ice at $0^{°}\mathrm{C}$. After sometime, $1.18 \mathrm{kg}$ of ice is left and $360 \mathrm{g}$ of water at $0^{°}\mathrm{C}$ is formed. Calculate the specific latent heat of vaporisation of water in calorie per gram. (Specific latent heat of fusion of ice $=80 \mathrm{cal} {\mathrm{g}}^{-1}$, specific heat capacity of water $=1 \mathrm{cal} {\mathrm{g}}^{-1}{ }^{°}{\mathrm{C}}^{-1}$).

A substance is in the form of a solid at $0^{°}\mathrm{C}$. The amount of heat added to this substance and the temperature of the substance is plotted in the following graph:

If the specific heat capacity of the solid substance is $500 \mathrm{J} {\mathrm{kg}}^{-1}{ }^{°}{\mathrm{C}}^{-1}$. Find the mass (in $\mathrm{g}$) of the substance from the graph.