Estimate the rate at which ice would melt in a wooden box 20 mm thick and of inside measurement 200 cm x 100 cm x 100 cm assumming that external temperature is `27^(@)C` and coefficient of thermal conductivity of wood is `0.0004 cal s^(-1) cm^(-1) .^(@)C^(-1)`.

Estimate the rate at which ice would melt in a wooden box 2.5 mm thick and of inside measurement 100 cm x 60 cm x 40 cm, assumming that external temperature is 32 .^(@)C and coefficient of thermal conductivity of wood is 0.168 Wm^(-1) K^(-1) . Given L=80 cal//g .

A cubical ice box of side 50 cm has a thickness of 5.0 cm. if 5 kg of ice is put in the box, estimate the amount of ice remaining after 4 hours. The outside temperature is 40^(@)C and coefficient of thermal conductivity of the material of the box = 0.01 Js^(-1) m^(-1) .^(@)C^(-1) . Heat of fusion of ice = 335 Jg^(-1) .

A cubical ice box of side 50 cm has a thickness of 5.0 cm. if 5 kg of ice is put in the box, estimate the amount of ice remaining after 4 hours. The outside temperature is 40^(@)C and coefficient of thermal conductivity of the material of the box = 0.01 Js^(-1) m^(-1) .^(@)C^(-1) . Heat of fusion of ice = 335 Jg^(-1) .

Calculate the rate of loss of heat through a glass window of area 1000 cm^(2) and thickness 0.4 cm when temperature inside is 37^(@)C and outside is -5^@)C . Coefficient of thermal conductivity of glass is 2.2 xx 10^(-3) cal s^(-1) cm^(-1) K^(-1) .

Calculate the rate of loss of heat through a glass window of area 1000 cm2 and thickness of 4 mm, when temperature inside is 27^@ C and outside is -5^@ C . Coefficient of thermal conductivity of glass is 0.022 cal/ s cm^@ C.

Steam at 100^(@)C is passed into a copper cylinder 10 mm thick and of 200 cm^(2) area. Water at 100^(@)C collects at the rate of 150 g min^(-1) . Find the temperature of the outer surface, if the conductivity of copper is 0.8 cal s^(-1) cm^(-1) .^(@)C^(-1) and the latent heat of steam is 540 cal g^(-1) .

Calculate the rate of increment of the thickness of ice layer on a lake when thickness of ice is 10 cm and the air temperature is -5^(@) C . If thermal conductivity of ice is 0.008 cal "cm"^(-1) "s"^(-1)°"C"^(-1) , density of ice is 0.91 xx 10^(3) "kg m"^(-3) and latent heat is 79.8 cal "gm"^(-1) . How long will it take the layer to become 10.1 cm ?

The thermal conductivity of aluminium is 0.5 cal s^-1cm^-1 "@_C^-1 .Express it in S.I. system.