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Ps6_09 - cooling off an 0.5 liter cup of hot water...

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2009 Chemistry 118a Problem set #6 Due Friday, October 23 Chapter 13: #4, 8, 10, 12, 20, 22, 26, 28, 29 Bored? Try the challenge problem. It’s not for everyone! The Nobel Prize in physics a few years ago went to two University of Colorado physicists (Carl Weiman and Eric Cornell), who succeeded in cooling a gas down to about 10 -8 K. Laser cooling got them most of the way, but the trick that carried the final two orders of magnitude was simply to let it partially evaporate! To see how “evaporative cooling” works, consider
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Unformatted text preview: cooling off an 0.5 liter cup of hot water, initially at 100 o C, to room temperature (say 20 o C). In an ideal case where all of the cooling takes place by evaporation of the liquid (rather than contact with air, for example), estimate how much volume will be lost in the cooling process. Assume that the heat capacity of water is constant at 1 cal/g-K, that the enthalpy of evaporation at 1 atm. pressure is constant at 10 kcal/mol, and that the density of water is also constant at 1 g/cm 3 ....
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