Water at `10^(@)`C is present in a thermally insulated container. Calculate the ratio of mass of ice formed and initial mass of water, if a small crystal of ice is thrown into it.

Some pure ice is put in brine taken in a perfect insulated container at 0^(@)C . The mass of ice

A vessel contains 10^(–1) kg of ice at 0^(@)C . Now steam is passed into the vessel to melt ice. Neglecting the thermal capacity of the vessel, find the mass of water in the vessel when all ice melts into water.

On a winter day when the atmospheric temperature drops to -10^(@)C , ice forms on the surface of a lake. (a) Calculate the rate of increases of thickness of the ice when 10cm of ice is already formed. (b) Calculate the total time taken in forming 10cm of ice. Assume that the temperature of the entire water reaches 0^(@)C before the ice starts forming. Density of water =1000kgm^(-3) , latent heat of fusion of ice =3.36xx10^(5)Jkg^(-1) and thermal conductivity of ice =1.7Wm^(-1)C^(-1) . Neglect the expansion of water on freezing.

On a winter day when the atmospheric temperature drops to -10^(@)C , ice forms on the surface of a lajke. (a) Calculate the rate of increases of thickness of the ice when 10cm of ice is already formed. (b) Calculate the total time taken in forming 10cm of ice. Assume that the temperature of the entire water reaches 0^(@)C before the ice starts forming. Density of water =1000kgm^(-3) , latent heat of fusion of ice =3.36xx10^(5)Jkg^(-1) and thermal conductivity of ice =1.7Wm^(-1) ^(@)C^(-1) . Neglect the expension of water on freezing.

(a) Two 40g ice cubes are droped into 200g of water in a thermally insulated container. If the water is initially at 25^(@)C , and the ice comes directly from a freezer at - 15^(@)C , what is the final temperature at thermal equilibrium? (b) What is the final temperature if only one ice cube is used ?

For same mass of water and ice, why ice floats over water?

A 0.60 kg sample of water and a sample of ice are placed in two compartmetnts A and B separated by a conducting wall, in a thermally insulated container. The rate of heat transfer from the water to the ice through the conducting wall is constant P, until thermal equilibrium is reached. The temperature T of the liquid water and the ice are given in graph as functions of time t. Temperature of the compartments remain homogeneous during whole heat transfer process. Given specific heat of ice =2100 J//kg-K , specific heat of water =4200 J//kg-K , and latent heat of fusion of ice =3.3xx10^5 J//kg . Initial mass of the ice in the container equal to