residence time

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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An aqueous solution containing 0.012 mol phenol/L is to be treated at 20 °C with activated carbon to reduce the concentration of phenol to 0.00006 mol/L. Laboratory experiments with adsorbent particles 1.2 mm in diameter in a well-agitated vessel have confirmed that the rate of adsorption is controlled by external mass transfer with kL = kc = 4.8 x 10-5 m/s. Particle surface area is 5 m2/kg of particles.  Using 10 g of adsorbent per liter of solution, and the Freundlich isotherm determined in (1), calculate the residence time needed to reduce the phenol content to the desired value if the agitated vessel is operated in continuous mode.

BASIS (use table for the QUESTION)
 
  1. The adsorption equilibrium isotherm for aqueous phenol solution and activated carbon can be determined from the following data:

q, kmol/kg   0.0022  0.0033  0.0036   0.0038   0.0040

c, kmol/m3 0.0010   0.0050    0.0080   0.0100   0.0120

Fit the data to the Linear, Freundlich and the Langmuir Isotherms.  Which provides a better fit to the data? Write the complete form of the isotherm. 

 
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