Calculate the difference in temperature between two sides of an iron plate 20 m m thick, when heat is conducted at the rate of `6xx10^(5)` cal/min/`m^(2)`. K for metal is 0.2 cal`s^(-1)cm^(-1).^(@)C^(-1)`

Water is boiled in a rectangular steel tank of thickness 2 cm by a constant temperature furnace. Due to vaporisation, water level falls at a steady rate of 1 cm in 9 minutes. Calculate the temperature of the furnace. Given K for steel 0.2 cal s^(-1) m^(-1) .^(@)C^(-1)

A flat bottomed metal tank of water is dragged along a horizontal floor at the rate of 20 ms^(-1) . The tank is of mass 20kg and contains 1000 kg of water and all the heat produced in the dragging is conducted to the water through the bottom plate of the tank. If the bottom plate has an effective area of conduction 1 m^2 and a thickness 5 cm and the temperature of the water in the tank remains constant at 50^(@)C , calculate the temperature of the bottom surface of the tank, given the coefficient of friction between the tank and the floor is 0.343 and K for the material of the tank is 25 cal m^(-1) s^(-1) K^(-1).

A rectangular steel tank of thickness 3 cm contains water. The water in the tank is boiled by a furnace. The level of water falls at a constant rate of 1.5 cm in 15 minutes. What will be the temperature of furnace if K for steel is 0.2 cal s^(-1) m^(-1) ""^@C^(-1) ?

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) .

1.56 × 10^5 J of heat is conducted through is 2 m^2 wall of 12 cm thick in one hour. Temperature difference between the two sides of the wall is 20 ^@C. The thermal conductivity of the material of the wall is (in Wm ^(-1) K^(-1) )

A layer of ice 0.15 m thick has formed on the surface of a deep pond. If the temperature of upper surface of ice is constant and equql to that of air which is -12^(@)C , determine the time it will take to increase of ice layer by 0.2 mm. take latent heat of ice =80 cal g^(-1) , density of ice =0.91 g cm^(-3) and thermal conductivity of ice =0.5 cal s^(-1)m^(-1)K^(-1) .

A bar of copper of length 75 cm and a bar of steel of length 125 cm are joined together end to end . Both are of circular cross - section with diameter 2 cm . The free ends of the copper and steel bars are maintained at 100^(@)C and 0^(@)C respectively . The surface of the bars are thermally insulted . What is the temperature of the copper - steel junction ? What is the heat transmitted per unit time across the junction ? Thermal conductivty of copper 9.2 xx 10^(-2) k cal m^(-1) ""^(@)C^(-1)s^(-1) and that of steel is 1.1 xx 10^(-2)k cal m^(-1)s^(-1) (@)C^(-1) .