Show through a graph how the density of a piece of ice (-10°C) changes when it is gradually heated upto 100°C.
Explanation:
1 kg of ice at 0oC is heated at a constant rate and its temperature is recorded after every 30 s till steam is formed at 100oC. Draw a temperature-time graph to represent the change of phases.
Ice at −20∘C is filled upto height h=10 cm in a uniform cylindrical vessel. Water at temperature θ∘C is filled in another identical vessel up to the same height h=10 cm. Now, water from second vessel is poured into first vessel and it is found that level of upper surface falls through Δh=0.5 cm when thermal equilibrium is reached. Neglecting thermal capacity of vessels, change in density of water due to change in temperature and loss of heat due to radiation, calculate initial temperature θ of water in oC.Given,
Density of water, ρw=1gcm−3
Density of ice, ρi=0.9gcm−3
Specific heat of water, sw=1cal/g∘C
Specific heat of ice, si=0.5cal/g∘C
Specific latent heat of ice, L=80cal/g