Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
15th Edition
ISBN: 9781285968360
Author: DAHM
Publisher: Cengage
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Chapter 6.6, Problem 9P
Interpretation Introduction
Interpretation:
Prove that equation 6.124 is valid.
Concept introduction:
Equate the two mixed partial derivatives as shown in equation 6.124.
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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?
4) A fixed bed adsorption unit contains rigid (incompressible) silica particles with a diameter of
120 um and porosity of 0.3. The resin bed is 200 cm long and has a diameter of 15 cm. A protein
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1.2 CP.
a) What is the pressure drop for this system (in bar)?
b) What would be the pressure drop if the particle diameter were decreased to 30 μm?
You are part of a team constructing a pipeline to transfer shale gas produced at the oceanfloor to the coastline. The temperature of the pipeline is nearly constant at 2 oC. The pipelineis made of smooth stainless steel and is 0.3 m in diameter and 100 m long. The averagevelocity of shale gas is 10 m/s and the inlet temperature is 20 oC ** Useful shale gas properties at 20 oC (Table A-12 for propane gas):(use these values for calculations and validate them later)• Density (ρ) = 18.13 kg/m3• Cp = 1974 J/kg-K• Viscosity (μ) = 8.54*10-6 kg/m-s• Pr = 0.918• k = 0.01836 W/m-Ka) Is the flow laminar or turbulent? Is the flow hydrodynamically and thermally fully developed?(circle your answer below and provide justification. • Laminar vs. Turbulent• Hydrodynamically developing vs. developed• Thermally developing vs. fully developedJustification:
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Chapter 6 Solutions
Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
Ch. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 6ECh. 6.6 - Prob. 7PCh. 6.6 - Prob. 8PCh. 6.6 - Prob. 9PCh. 6.6 - Prob. 10PCh. 6.6 - Prob. 11P
Ch. 6.6 - Prob. 12PCh. 6.6 - Prob. 13PCh. 6.6 - Prob. 14PCh. 6.6 - Prob. 15PCh. 6.6 - Prob. 16PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Prob. 20PCh. 6.6 - Prob. 21PCh. 6.6 - Prob. 22PCh. 6.6 - Prob. 23PCh. 6.6 - Prob. 24PCh. 6.6 - Prob. 25PCh. 6.6 - Prob. 26PCh. 6.6 - Prob. 27PCh. 6.6 - Prob. 28PCh. 6.6 - Prob. 29P
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