Ice of mass $600 \mathrm{g}$ and at a temperature of $-10°\mathrm{C}$ is placed in a copper vessel heated to $350°\mathrm{C}$. The resultant mixture is $550 \mathrm{g}$ of ice and water. Find the mass of the vessel. The specific heat capacity of copper $\left(c\right)==100 \mathrm{cal}/\mathrm{kg}-\mathrm{K}$.

When a small ice crystal is placed in overcooled water it begins to freeze instantaneously.

What amount of ice is formed from $1 \mathrm{kg}$ of water overcooled to $-8°\mathrm{C}?$ $L$ of water $=336\times {10}^3 \mathrm{J} {\mathrm{kg}}^{-1}$ and $s$ of water $=4200 \mathrm{J}/\mathrm{kg}/\mathrm{K}$

When a small ice crystal is placed in overcooled water it begins to freeze instantaneously.

What should be the temperature of the overcooled water in order that all of it be converted into ice at $0{}^{\circ }\mathrm{C}?$

$L$ of water $=336\times {10}^3 \mathrm{J} {\mathrm{kg}}^{-1}$ and $s$ of water $=4200 \mathrm{J}/\mathrm{kg}/\mathrm{K}$

An electric heater whose power is $54 \mathrm{W}$ is immersed in $650 {\mathrm{cm}}^3$ water in a calorimeter. In $3 \min$ the water is heated by $3.4°\mathrm{C}$. What part of the energy of the heater passes out of the calorimeter in the form of radiant energy?

An ice cube whose mass is $50 \mathrm{g}$ is taken from a refrigerator where its temperature was $-10°\mathrm{C}$. If no heat is gained or lost from outside, how much water will freeze onto the cube if it is dropped into a beaker containing water at $0{}^{\circ }\mathrm{C}?$ Latent heat of fusion $=80 \mathrm{kcal}/\mathrm{kg}$, specific heat capacity of ice $=500 \mathrm{cal}/\mathrm{kg}/\mathrm{K}$

Victoria Falls in Africa is $122 \mathrm{m}$ in height. Calculate the rise in temperature of the water if all the potential energy lost in the fall is converted into heat.

Equal masses of three liquids $A, B$ and $C$ are taken. Their initial temperatures are $10°\mathrm{C},25°\mathrm{C}$ and $40°\mathrm{C}$, respectively. When $A$ and $B$ are mixed the temperature of the mixture is $19°\mathrm{C}$. When $B$ and $C$ are mixed, the temperature of the mixture is $35°\mathrm{C}$. Find the temperature if all three are mixed.

A cylindrical metal rod of length $L_0$ is shaped into a ring with a small gap as shown. On heating the system