A thermally insulated vessel contains some water at 0°C. The vessel is connected to a vacuum pump to pump out water vapour. This results in some water getting frozen. It is given latent heat of vaporization of water at 0°C = 21 ×10⁵ J/kg and latent heat of freezing of water = 3.36 ×10⁵ J/kg. The maximum percentage amount of water that will be solidified in this manner will be:-
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Question

A thermally insulated vessel contains some water at 0°C. The vessel is connected to a vacuum pump to pump out water vapour. This results in some water getting frozen. It is given latent heat of vaporization of water at 0°C = 21 ×10⁵ J/kg and latent heat of freezing of water = 3.36 ×10⁵ J/kg. The maximum percentage amount of water that will be solidified in this manner will be:-

Options

G1 Physics · Accepted Answer

Apply energy conservation. Sensible heat is Q=mcΔT and phase-change heat is Q=mL. Heat lost by hotter parts equals heat gained by colder parts. Evaluating the given data/statements gives A: 86.2%. Therefore the correct answer is A.