A thin plate of solid salt, (mathrm{NaCl}), measuring 15 by (15 mathrm{~cm}), is to be dragged through

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A thin plate of solid salt, \(\mathrm{NaCl}\), measuring 15 by \(15 \mathrm{~cm}\), is to be dragged through seawater at a velocity of \(0.6 \mathrm{~m} / \mathrm{s}\). The \(291 \mathrm{~K}\) seawater has a salt concentration of \(0.0309 \mathrm{~g} / \mathrm{cm}^{3}\) and a density of \(1.022 \mathrm{~g} / \mathrm{cm}^{3}\). Estimate the rate at which the salt goes into solution if the edge effects can be ignored. Assume the kinematic viscosity at the average liquid film conditions is \(1.02 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s}\), and the diffusivity is \(1.25 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}\). The solubility of \(\mathrm{NaCl}\) in water at \(291 \mathrm{~K}\) is \(0.35 \mathrm{~g} / \mathrm{cm}^{3}\), and the density of the saturated solution is \(1.22 \mathrm{~g} / \mathrm{cm}^{3}\) (Perry and Chilton, 1973).

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