For the extraction in Example 13-7, suppose we decide to have \(\mathrm{H}_{\text {tank }}=\) \(2 \mathrm{~d}_{\text {tank }}\) and want a 1.5 minute residence time. Find the tank dimensions.

Example 13-7

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Design a baffled mixing vessel and a horizontal settler for extraction of benzoic acid from water (diluent) into toluene (solvent). The mixing tank (Figure 13-31) should have H/dtank = 1.0, and there should be a 1-in. (0.0254 m) head space (vapor space at top). The flow rate of the aqueous feed is 0.006 m/s, and the volumetric solvent-to-feed ratio = 0.2. A six-blade flat turbine impeller with impeller diameter d; = 0.25 dank and impeller width w =d/5 is operated at 1000 rpm. Simple settling experiments show that this is a type I (rapid settling) system. A. For a mixture residence time of 1.0 minutes, find the mixer dimensions and estimate the volume fraction of the dispersed phase and power P required. B. Set L/dsettler = 4, and use Stokes law to size the horizontal settler. Data at 20C (Treybal, 1980): Water Solution Toluene Solution Density p 998 kg/m 865 kg/m Viscosity 0.95 x 10-3 kg/(ms) Diffusivity D 22 x 10-9 m/s Molecular wt 18.02 0.59 x 10-3 kg/(ms) 1.5 x 10-9 m/s 92.14 Feed and solvent in hheadspace liq-t Propeller or turbine Motor d Baffles H Vig liq-tank Emulsion out