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UCI Boiling Temperatures Thermal Conductivity Heat Flow & Final Temperature Worksheet

Question Description

Problem #1

Water drops into a container filled with liquid Nitrogen at its boiling temperature (77K)

at a rate 1.0 gram/second. How much liquid Nitrogen will become vapor every second?

The latent heat of vaporization of Nitrogen: 5.56 kJ/mol, the latent heat of fusion of water:

79 cal/g. 1.0 cal =4.2 J.

Problem #2

A cylindrical container (exterior dimension: diameter 60.0-cm, height 40.0-cm) has 50% of its volume

filled with 35.0 0C water (density 1000 g/cm3). The container is made of insulation material with a

thermal conductivity k=0.850 w/m 0C and thickness 2.0 cm.

(a) What is the initial rate of heat flow to the surrounding air (50.0 0F)?

(b) How long does it take for the mixture in the container to drop 5.0 0C?

(c) After 5.0-kg of -5.0 0C ice (density 0.920 g/cm3) is added to the water, what

would be the final temperature of the mixture?

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