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A thermally insulated vessel contains 15...

A thermally insulated vessel contains `150g` of water at `0^(@)C`. Then the air from the vessel is pumped out adiabatically. A fraction of water turms into ice and the rest evaporates at `0^(@)C` itself. The mass of evaporated water will be closest to :
(Latent heat of vaporization of water `=2.10xx10^(6)jkg^(-1)` and Latent heat of Fusion of water `=3.36xx10^(5)jkg^(-1)`)

A

20 g

B

150 g

C

130 g

D

35 g

Text Solution

Verified by Experts

The correct Answer is:
A
Let us assume x grams of water vaporizer
`implies` amount of water frozen `=(150-x)`
Heat gained by vaporized water = Heat lost by frozen water
`implies"x"xxL_V=(150-x)xxL_f`
`"x"xx21xx10^5=(150-x)xx3.36xx10^(5)`
`implies21x=504-3.36ximpliesx=(504)/(24.36)=20.7~~20g`
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