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 5, Problem 8P
To determine
The total work produced by the expansion.
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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 5 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 5 - Prob. 1PCh. 5 - Nitrogen at an initial state of 300 K, 150 kPa,...Ch. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - A piston–cylinder device with a set of stops...Ch. 5 - A piston–cylinder device initially contains 0.07...Ch. 5 - A mass of 5 kg of saturated water vapor at 300 kPa...Ch. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - A mass of 1.5 kg of air at 120 kPa and 24°C is...
Ch. 5 - Prob. 11PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - During an expansion process, the pressure of a gas...Ch. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - 0.75-kg water that is initially at 0.5 MPa and 30...Ch. 5 - Prob. 22PCh. 5 - A piston–cylinder device contains 50 kg of water...Ch. 5 - Reconsider Prob. 5–23. Using an appropriate...Ch. 5 - Prob. 25PCh. 5 - A closed system undergoes a process in which there...Ch. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - A fixed mass of saturated water vapor at 400 kPa...Ch. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 36PCh. 5 - A 40-L electrical radiator containing heating oil...Ch. 5 - Prob. 38PCh. 5 - Saturated R-134a vapor at 100°F is condensed at...Ch. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Is it possible to compress an ideal gas...Ch. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - A rigid tank contains 10 lbm of air at 30 psia and...Ch. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Air is contained in a variable-load...Ch. 5 - A mass of 15 kg of air in a piston–cylinder device...Ch. 5 - Prob. 70PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Air is contained in a cylinder device fitted with...Ch. 5 - Air is contained in a piston–cylinder device at...Ch. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Repeat Prob. 5–86 for aluminum balls.
5-86. In a...Ch. 5 - Prob. 88RQCh. 5 - Prob. 89RQCh. 5 - Air in the amount of 2 lbm is contained in a...Ch. 5 - Air is expanded in a polytropic process with n =...Ch. 5 - Nitrogen at 100 kPa and 25°C in a rigid vessel is...Ch. 5 - A well-insulated rigid vessel contains 3 kg of...Ch. 5 - In order to cool 1 ton of water at 20°C in an...Ch. 5 - Prob. 95RQCh. 5 - Prob. 96RQCh. 5 - Saturated water vapor at 200°C is condensed to a...Ch. 5 - A piston–cylinder device contains 0.8 kg of an...Ch. 5 - A piston–cylinder device contains helium gas...Ch. 5 - Prob. 100RQCh. 5 - Prob. 101RQCh. 5 - Prob. 102RQCh. 5 - Prob. 103RQCh. 5 - Prob. 104RQCh. 5 - Prob. 105RQCh. 5 - Prob. 106RQCh. 5 - A 68-kg man whose average body temperature is 39°C...Ch. 5 - An insulated rigid tank initially contains 1.4-kg...Ch. 5 - Prob. 109RQCh. 5 - Prob. 111RQCh. 5 - Prob. 112RQCh. 5 - Prob. 114RQCh. 5 - Prob. 115RQCh. 5 - An insulated piston–cylinder device initially...Ch. 5 - Prob. 118RQCh. 5 - Prob. 119RQCh. 5 - Prob. 120RQ
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