Nomenclature C = concentration t = contact time E: = equilibrium distribution coefficient T = temperature A = extracted species B = stored species R , = uranium extraction rate constant Subscripts i = initial f = final t = at a given time Literature Cited Bock, Brown, K. B. Ind. Eng. Chem. Process Des. Dev. 1972, 11, 122. Hurst, F. S.; Crouse, D. J. Ind. Eng. Chem. Process Des. Dev. 1974, 13, 286. Kitagawa, T.; Nishikawa, Y.; Frankenfeid, J. W.; Li, N. N. Environ. Sci. Technol. 1977, 71, 602. Long, R . S.; Ellis, D. A.; Balles, R . H. Proc. Int. Cong. Peaceful Uses A t .Energy 1955, 8, 77. Murthy, T. K. S.; Pai, V. M.; Wagle, R. A. "Proceedings, Symposium on Re-Algorithms for rapid solution of implicit variables in the Smoker design equations are presented. The accuracy of these solutions in the context of distillation rating and operating problems is evaluated for distillation systems where more rigorous physical property assumptions are known to apply. Alternative methods of initiilly fitting the Smoker equations to rigorous tray-by-tray material and energy balance calculations as well as methods extending the procedure to handle multicomponent systems are discussed. These methods are well suited for many optimization, reliability, and control studies as well as for the fast real-time calculations such as interactive computations or on-line control.