Imagine, there is a cylindrical shaped (r = 2.2 cm height 10 cm) container made

Question

Imagine, there is a cylindrical shaped (r = 2.2 cm height 10 cm) container made of a special ceramic. This container can absorb water. A cold bottle of a soft drink can be sustained its coldness even during a hot day if it is put on this special container. Assume that energy escaped due to evaporation equals the net energy transfers from outside via the radiation exchange through the top and side surface. The cold drink and container have temperature of T = 15degree C, the outside has temperature of Tenv = 38 degree C. Neglect other energy exchanges. With the emissivity of e = 1, how quickly is water vaporized from the surface of the container? (Hint: find the losing water mass per second) Show all your works:

Explanation / Answer

The correct answers are :

17] => c) -2

18] => e) 4/13

19] => e) y - 2ln|y| - 1/y + c

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