Sherwood’s Plot: Fundamental or Empirical?

Document Type: Research Note

Author

Department of Chemical Engineering and LEPABE – Laboratory for Process Engineering, Environment, Biotechnology and Energy, University of Porto, Rua Dr. Roberto Frias, 4200-264 Porto, PORTUGAL

Abstract

There are several examples of heuristic rules first proposed from empirical observation, which eventually earned physicochemical validity after the fundamental derivation of a posteriori. This may be the case of Sherwood’s plot – for which a sound rationalization from first principles, entailing enthalpy and mass balances, is provided here; it applies to (fine) chemicals undergoing concentration followed by purification at large, where such costs override the whole processing.

Keywords

Main Subjects


[1] Sherwood T.K., “Mass Transfer between Phases, Phi Lambda Upsilon, Philadelphia PA, USA (1959).

[2] Philips W.G.B., Edwards D.P., Metal Prices as a Function of ore Grade, Resour. Policy 2: 167-178 (1976).

[3] Chapman P.F., Roberts F., “Metal Resources and Energy”, Butterworth, London, UK (1983).

[4] King C. J., “Separation and Purification: Critical Needs and Opportunities”, National Academy Press, Washington DC, USA (1987).

[5] House K.Z., Baclig A.C., Ranjan M., van Nierop E.A., Wilcox J., Herzog, H., Economic and Energetic Analyses of Capturing CO2 from Ambient Air, Proc. Nat. Acad. Sci. 108: 20428-20433 (2011).

[6] Allen D.T., Behmanesh N., “The Greening of Industrial Ecosystems”, National Academy Press, Washington DC, USA (1994).

[7] Johnson J., Harper E.M., Lifset R., Graedel T.E., Dining at the Periodic Table: Metals Concentrations as they Relate to Recycling, Environ. Sci. Technol., 41: 1759-1765 (2007).

[8] Holland H. D., “Living Dangerously: the Earth, its Resources and the Environment”, Princeton University Press, Princeton NJ, USA (1995).

[9] Ayres R. U., “Information, Entropy and Progress”, AIP Press, Baltimore MD, USA (1994).

[10] Dahmus J.B., Gutowski T.G., What Gets Recycled: an Information Theory-Based Model for Product Recycling, Environ. Sci. Technol., 41: 7543-7550 (2007).

[11] Grubler A., “Technology and Global Change”, Cambridge University Press, Cambridge MA, USA (1998).