It is desired to dehumidify (1.2 mathrm{~m}^{3} / mathrm{s}) of air, available at (311 mathrm{~K}) with a

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It is desired to dehumidify \(1.2 \mathrm{~m}^{3} / \mathrm{s}\) of air, available at \(311 \mathrm{~K}\) with a wet-bulb temperature of \(303 \mathrm{~K}\), to a wet-bulb temperature of \(288 \mathrm{~K}\) in a countercurrent tower using water chilled to \(283 \mathrm{~K}\). The packing will be \(25-\mathrm{mm}\) ceramic Raschig rings, and the tower will be designed for a maximum gas-pressure drop of \(300 \mathrm{~Pa} / \mathrm{m}\). A liquid rate of 1.5 times the minimum will be used. Assuming a well-irrigated packing, estimate the cross-sectional area and height of the packed portion of the tower. The heat-transfer coefficient for the liquid phase can be estimated by the following correlation for Raschig rings and Berl saddles (Treybal, 1980)

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where \(d_{s}\) is the diameter of a sphere of the same surface area of a single packing particle ( \(35.6 \mathrm{~mm}\) for \(25-\mathrm{mm}\) Raschig rings) and \(k\) is the thermal conductivity of the liquid.

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