Fundamentals Of Thermal-fluid Sciences In Si Units
5th Edition
ISBN: 9789814720953
Author: Yunus Cengel, Robert Turner, John Cimbala
Publisher: McGraw-Hill Education
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Chapter 4, Problem 58P
To determine
The initial pressure in the tank.
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2. Consider a polymeric membrane within a 6 cm diameter stirred ultrafiltration cell. The membrane is
30 μm thick. The membrane has pores equivalent in size to a spherical molecule with a molecular weight
of 100,000, a porosity of 80%, and a tortuosity of 2.5. On the feed side of the membrane, we have a
solution containing a protein at a concentration of 8 g L-1 with these properties: a = 3 nm and DAB = 6.0 ×
10-7 cm² s¹. The solution viscosity is 1 cP. The hydrodynamic pressure on the protein side of the
membrane is 20 pounds per square inch (psi) higher than on the filtrate side of the membrane. Assume
that the hydrodynamic pressure difference is much larger than the osmotic pressure difference
(advection >> diffusion). Determine the convective flow rate of the solution across the membrane.
1. Calculate the filtration flow rate (cm³ s¹) of a pure fluid across a 100 cm² membrane. Assume the
viscosity (µ) of the fluid is 1.8 cP. The porosity of the membrane is 40% and the thickness of the
membrane is 500 μm. The pores run straight through the membrane and these pores have a radius of
0.225 μm. The pressure drop applied across the membrane is 75 psi. (Note: 1 cP = 0.001 N s m²² = 0.001
Pa s.)
3. Tong and Anderson (1996) obtained for BSA the following data in a polyacrylamide gel for the
partition coefficient (K) as a function of the gel volume fraction (4). The BSA they used had a molecular
weight of 67,000, a molecular radius of 3.6 nm, and a diffusivity of 6 × 10-7 cm2 s-1. Compare the
Ogston equation
K=exp
+
to their data and obtain an estimate for the radius of the cylindrical fibers (af) that comprise the gel.
Hint: You will need to plot Ink as a function of gel volume fraction as part of your analysis. Please include
your MATLAB, or other, code with your solution.
Gel Volume Fraction (4)
KBSA
0.00
1.0
0.025
0.35
0.05
0.09
0.06
0.05
0.075
0.017
0.085
0.02
0.105
0.03
Chapter 4 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 4 - Prob. 1PCh. 4 - What is the difference between saturated vapor and...Ch. 4 - Is there any difference between the intensive...Ch. 4 - Why are the temperature and pressure dependent...Ch. 4 - Is it true that water boils at higher temperature...Ch. 4 - What is the difference between the critical point...Ch. 4 - Prob. 7PCh. 4 - A househusband is cooking beef stew for his family...Ch. 4 - Prob. 9PCh. 4 - It is well known that warm air in a cooler...
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Does hfg change with pressure? How?
Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Which process requires more energy: completely...Ch. 4 - In the absence of compressed liquid tables, how is...Ch. 4 - In 1775, Dr. William Cullen made ice in Scotland...Ch. 4 - Complete this table for H2O:
Ch. 4 - Prob. 21PCh. 4 - Complete this table for H2O:
Ch. 4 - Prob. 24PCh. 4 - Prob. 26PCh. 4 - Complete this table for refrigerant-134a:
Ch. 4 - A 1.8-m3 rigid tank contains steam at 220°C....Ch. 4 - Prob. 29PCh. 4 - R-134a, whose specific volume is 0.6243 ft3/lbm,...Ch. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Refrigerant-134a at 200 kPa and 25°C flows through...Ch. 4 - The average atmospheric pressure in Denver...Ch. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - One pound-mass of water fills a 2.4264-ft3...Ch. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Water initially at 200 kPa and 300°C is contained...Ch. 4 - Saturated steam coming off the turbine of a steam...Ch. 4 - Water in a 5-cm-deep pan is observed to boil at...Ch. 4 - A cooking pan whose inner diameter is 20 cm is...Ch. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - A piston–cylinder device contains 0.005 m3 of...Ch. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - A rigid vessel contains 8 kg of refrigerant-134a...Ch. 4 - Prob. 63PCh. 4 - A piston–cylinder device initially contains 50 L...Ch. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - The air in an automobile tire with a volume of...Ch. 4 - The air in an automobile tire with a volume of...Ch. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - What is the principle of corresponding states?
Ch. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - What is the percentage of error involved in...Ch. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93RQCh. 4 - Prob. 94RQCh. 4 - A tank contains argon at 600°C and 200 kPa gage....Ch. 4 - Prob. 96RQCh. 4 - Prob. 97RQCh. 4 - Prob. 98RQCh. 4 - Prob. 99RQCh. 4 - Prob. 100RQCh. 4 - Prob. 101RQCh. 4 - Prob. 102RQCh. 4 - A 4-L rigid tank contains 2 kg of saturated...Ch. 4 - The gage pressure of an automobile tire is...Ch. 4 - Prob. 105RQCh. 4 - Prob. 106RQCh. 4 - Prob. 107RQCh. 4 - Prob. 108RQCh. 4 - Prob. 109RQCh. 4 - Prob. 110RQCh. 4 - Prob. 111RQCh. 4 - Prob. 112RQ
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