A cold beverage can be kept cold even on a warm day if it is slipped into a poro

Question

A cold beverage can be kept cold even on a warm day if it is slipped into a porous ceramic container that has been soaked in water. Assume that energy lost to evaporation matches the net energy gained via the radiation exchange through the top and side surfaces. The container and beverage have temperature T = 14.0 ?C, the environment has temperature Tenv = 34.0 ?C, and the container is a cylinder with radius r = 2.55 cm and height 12.8 cm. Approximate the emissivity as ? = 0.942, and neglect other energy exchanges. At what rate dm/dt (in mg/s) is the container losing water mass?

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