An icebox made of 1.5cm thick stuyrofoam has dimensions `60cmxx60cmxx30cm.It contains ice at which the ice is melting. Latent heat of fusion of ice`=3.36xx10^(5)J kg^(-1)` . and thermal conductivity of styrofoam `=0.04Wm^(-1)`^(@)C^(-1)` .

An icebox made of 1.5cm thick styrofoam has dimensions 60cmxx60cmxx30cm .It contains ice at 0^(@)C and is kept in a room at 40^(@)C . Find the rate at which the ice is melting. Latent heat of fusion of ice =3.36xx10^(5)J kg^(-1) . and thermal conductivity of styrofoam =0.04Wm^(-1)C^(-1) .

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 slab of stone of area 0.34 m ^(2) and thickness 10 cm is exposed on the lower face to steam at 100^(@)C .A block of ice at 0^(@)C rests on the upper face of the slab. In one hour, 3.6 kg of ice is melted. Assume that the heat loss from the sides is negligible. The latent heat of fusion of ice is 3.4 xx 10^(4) J kg^(-1) . What is the thermal conductivity of the stone in units of Js^(-1) m^(-1) ""^(@)C^(-1) ?

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.

Find the result of mixing 1kg of ice at 0^(@)C with 1.5kg of water at 45^(@)C . (Specific latent heat of fusioin of ice =336xx10^(3)Jkg^(-1) )

Calculate the heat required to convert 3 kg of ice at -12^(@)C kept in a calorimeter to steam at 100^(@)C at atmospheric pressure. Given, specific heat capacity of ice = 2100 J kg^(-1) K^(-1) specific heat capicity of water = 4186 J kg^(-1)K^(-1) Latent heat of fusion of ice = 3.35 xx 10^(5) J kg^(-1) and latent heat of steam = 2.256 xx 10^(6) J kg^(-1) .