Abstract
The q/T paradox is that a liter of icewater at ~0°C contains much more energy than a cup (∼240 cm3) of coffee at 95°C. In this demonstration, heat is removed from 10 cm3 of water at ∼95°C and 42 cm3 of water at ∼0°C by adding each to a measured sample of liquid nitrogen. The heat removed from the water boils the N2(l), and the quantity of liquid nitrogen that is evaporated by boiling is determined. The quantity of heat that was absorbed is calculated from the heat of vaporization of liquid nitrogen and found to be about 10,000 J in the case of the hot water and 25,000 J in the case of the icewater. Calculations of the energy content of water, taking into account the variability of the heat capacity, are provided.
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