Water at 0 ∘ C , contained in a closed vessel, is abruptly opened in an evacuated chamber. If the latent heats of fusion and vaporization at 0 ∘ C are in the ratio λ : 1 , the fraction of water evapor

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Water at 0 ∘ C , contained in a closed vessel, is abruptly opened in an evacuated chamber. If the latent heats of fusion and vaporization at 0 ∘ C are in the ratio λ : 1 , the fraction of water evaporated will be:

TestHub · Accepted Answer

Let x be the fraction of water that vaporizes. Then ( 1 − x ) freezes. The heat to vaporize comes from the freezing part: x L v a p ​ = ( 1 − x ) L f u s i o n ​ 1 − x x ​ = L v a p ​ L f u s i o n ​ ​ = 1 λ ​ x = λ − λ x x = 1 + λ λ ​

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