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A cube of iron (density = 8000 kg/m3, specific heat capacity = 470 J/kg-K) is heated to a high temperature and is placed on a large block of ice at 00C. The cube melts the ice below it, displaces the water and sinks. In the final equilibrium position, its upper surface just goes inside the ice. Calculate the initial temp of the cube. Neglect any loss of heat outside the ice and the cube. The density of ice = 900 kg/m3 and the latent heat of fusion of ice = 3.36 * 10 5 J/Kg.
Indian style of cooling drinking water is to keep it in a pitcher having porous walls. Water comes to the outer surface very slowly and evaporates. MOst of the energy needed for evaporation is taken from the water itself and the water is cooled down. ASsume that a pitcher contains 10 kg of water and 0.2 g water comes out per second. Assuming no backward reaction heat transfer from the atmosphere to the water, calculate the time in which the temperature decreases by 50C. Specific heat capacity of water = 4200 J/Kg-0C and latent heat of vapourisation of water = 2.27 * 106 J/kg.
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