Question

A cup of warm water (0.5 kg at 25*C) is poured into a large vat of...

A cup of warm water (0.5 kg at 25*C) is poured into a large vat of liquid nitrogen at 77K. The mixture is thermally insulated from the surrounding room. The following table of data may be relevant for this problem (all atmospheric pressure):

Nitrogen Water

Freezing Point(K)

Boiling Point (K)

63

77

273

373
Specific Heat Capacity (J/kg.K) 1040

4186(water)

2108(ice)

Latent Heat of Fusion(KJ/kg)

Latent Heat of Vaporization (kJ/kg)

25.7

200

333

2260

(A) What will the final temperature of the mixture be when it comes to equilibrium?

(B) How much nitrogen will have vaporized when the mixture comes to equilibrium?

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