Heat and Thermal ExpansionHard

Question

A thermally insulated vessel contains some water at 0oC. The vessel connected to a vacuum pump out water vapor. This results in some water getting frozen . It is given latent heat if vaporization of water at 0oC = 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

A.86.2%
B.33.6%
C.21 %
D.24.36%

Solution

Let x = percentage of water solidified then heat lost = heat gained
⇒ x × 3.36 × 105 = (100 - x) × 21 × 105
⇒ x = = 86.2%

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