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 2, Problem 12P
To determine
The specific gravity and explain how is it related to density.
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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 2 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 2 - Prob. 1PCh. 2 - You are trying to understand how a reciprocating...Ch. 2 - A can of soft drink at room temperature is put...Ch. 2 - What is the difference between intensive and...Ch. 2 - Is the weight of a system an extensive or...Ch. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10P
Ch. 2 - Prob. 11PCh. 2 - What is specific gravity? How is it related to...Ch. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Consider two closed systems A and B. System A...Ch. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - The temperature of ambient air in a certain...Ch. 2 - Prob. 22PCh. 2 - Explain why some people experience nose bleeding...Ch. 2 - A health magazine reported that physicians...Ch. 2 - Someone claims that the absolute pressure in a...Ch. 2 - Express Pascal’s law, and give a real-world...Ch. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - The pressure in a water line is 1500 kPa. What is...Ch. 2 - Prob. 31PCh. 2 - A manometer is used to measure the air pressure in...Ch. 2 - The water in a tank is pressurized by air, and the...Ch. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - The gage pressure in a liquid at a depth of 3 m is...Ch. 2 - The absolute pressure in water at a depth of 9 m...Ch. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Reconsider Prob. 2–45. Using an appropriate...Ch. 2 - Both a gage and a manometer are attached to a gas...Ch. 2 - Prob. 48PCh. 2 - A manometer containing oil (ρ = 850 kg/m3) is...Ch. 2 - A mercury manometer (ρ = 13,600 kg/m3) is...Ch. 2 - Repeat Prob. 2–50 for a differential mercury...Ch. 2 - The pressure in a natural gas pipeline is measured...Ch. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - The maximum blood pressure in the upper arm of a...Ch. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65RQCh. 2 - Prob. 66RQCh. 2 - Prob. 67RQCh. 2 - Prob. 68RQCh. 2 - Prob. 69RQCh. 2 - Joe Smith, an old-fashioned engineering student,...Ch. 2 - It is well-known that cold air feels much colder...Ch. 2 - Prob. 72RQCh. 2 - A vertical piston–cylinder device contains a gas...Ch. 2 - Prob. 74RQCh. 2 - Prob. 75RQCh. 2 - Prob. 76RQCh. 2 - Prob. 77RQCh. 2 - Determine the maximum amount of load, in kg, the...Ch. 2 - Prob. 79RQCh. 2 - Prob. 80RQCh. 2 - Prob. 81RQCh. 2 - Prob. 82RQCh. 2 - Prob. 83RQCh. 2 - Prob. 84RQCh. 2 - Prob. 85RQCh. 2 - Prob. 86RQCh. 2 - Prob. 87RQCh. 2 - Prob. 88RQ
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