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Ice at -20°C is filled upto height h=10 cm in a uniform cylindrical vessel. Water at temperature x°C is filled in another identical vessel upto 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 ∆h= 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 rediation, calculate initial temperature x of water.

Ice at -20°C is filled upto height h=10 cm in a uniform cylindrical vessel. Water at temperature x°C is filled in another identical vessel upto 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 ∆h= 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 rediation, calculate initial temperature x of water.

Grade:12th pass

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