Growth of thickness of ice | Illustarions

A deep rectangular pond of surface area A, containing water (density = rho ), specific heat capacity = s), is located in a region where the outside air temperature is at a steady value of -26^@C . The thickness of the frozen ice layer in this pond, at a certain instant is x. Taking the thermal conductivity of ice as K, and its specific latent heat of fusion as L, the rate of increase of the thickness of ice layer, at this instant, would be given by

A sphere of 10cm radius has a uniform thickness of ice around it. Ice is melting at rate 50 cm^3//min when thickness is 5cm then rate of change of thickness

The thickness of ice in a lake is 5cm and the atmospheric temperature is 10^(@)C Calculate the time rquired for the thickness of ice to grow to 7cm Therml conductivity for ice =4 xx 10^(-3) cal cm^(-1) s^(-1) c^(-10 density of ice =0.92 g //cm^(3) and latent heat of fusion of ice =80 cal//g .

A layer of ice 2 cm thick is formed on a pond. The temperature of air is -20^(@)C . Calculate how long it will take for the thickness of ice to increase by 1mm. Density of ice = 1g cm^(-3) . Latent heat of ice = 80 cal g^(-1) . Conductivity of ice = 0.008 cal s^(-1) cm^(-1) .^(@)C^(-1) .

Calculate the rate of increment of the thickness of the layer of ice on a lake when the thickness of is 20cm and the air temperature is -40^(@)C . Thermal conductivity of ice =1.68Ks^(-1)m^(-1)K^(-1) , density of ice 920kgm^(-3) and latent heat capacity of ice =336xx10^(3)Jkg^(-1)K^(-1) .

The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out ? (Take density of ice = 0.9 xx 10^3 kg//m^3)

Ice has formed on a shallow pond, and a steady state has been reached, with the air above the ice at -5.0^(@)C and the bottom of the pond at 40^(@)C . If the total depth of ice + water is 1.4 m , (Assume that the thermal conductivities of ice and water are 0.40 and 0.12 cal//m C^(@)s , respectively.) The thickness of ice layer is