EBK INTRODUCTION TO CHEMICAL ENGINEERIN
EBK INTRODUCTION TO CHEMICAL ENGINEERIN
8th Edition
ISBN: 9781259878091
Author: SMITH
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 2, Problem 2.11P
Interpretation Introduction

Interpretation:

Whether the energy as work be transferred to the fluid along with the change in internal energy of the fluid when the pressure is increased from P1to P2should be identified.

Concept introduction:

Incompressible fluid implies that the density doesn’t change.

Density is defined as the ratio of mass to the volume.

The mathematical expression is given by:

  Density=MassVolume

Change in internal energy is equal to the addition of heat transfer and work flow.

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7) You are tasked with separating two proteins by ion exchange chromatography on a 30 cm long column with an inner diameter of 2 cm. The resin has a diameter of 100 μm and a void fraction of 0.3, and your mobile phase flows through the column at a rate of Q = 5 cm³/min. The Van Deemter coefficients A, B, and C have been determined to be 0.0228 cm, 0.0036 cm²/min, and 0.00053 min, respectively, for both proteins. Protein A elutes from the column with an average retention time of 27 min and standard deviation of 0.8 min. Protein B elutes from the column. with an average retention time of 33.8 min and standard deviation of 1.0. a) How many theoretical plates does the column contain? b) What flow rate (Q) will give you the maximum resolution? c) What is the minimum height of a theoretical plate for the system?
1 5) You are asked to design a moving bed adsorption process using two columns (see the figure below). Your feed contains 100 mg/L protein and flows through both columns at 4 m³/h. Fresh resin enters the bottom of both columns (resin does not flow from the bottom column to the top column). The maximum resin flow rate that your pumps can comfortably handle is 120 kg resin/h. Experimental data suggest that the adsorption equilibrium can be modeled as qi=4ci where qi is in g protein/kg resin and c; is in g protein/L broth. (Pay attention with units!) a) What is the lowest concentration of proteins that you could get in the effluent from column 1 (indicated by the *) in mg/L? (Hint: set up a mass balance) 0.25 , * 1 2 b) What should be the flow rate of resin (in kg/h) into the second column (B2) if your overall process needs to remove 99% of the protein?
6) Instead of moving bed adsorption, you decide to try fixed bed adsorption with a different resin for removal of your protein. Your column is 25 cm long with an inner diameter of 5 cm. The resin packed in the column has a density of 1.5 g/cm³ and a void fraction of 0.25. Equilibrium data suggests that the protein binding to the column follows a Langmuir isotherm with an Stot = 6.25 g protein/kg resin and Keq = 2.58 L broth/g protein. The feed contains 100 mg/L protein and flows through the column at 500 mL/h. The calculated binding capacity of the column under these conditions is 945 mg protein. a) After 17.7 h, you detect an unacceptable level of protein in the column effluent. What is the length of unused bed? b) After deciding that this process will work well for separation, you need to scale up to a 1 m long column with the same diameter. If all else but length of the column is held constant, how long will you be able to run the column before breakthrough?
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