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 8, Problem 25P
To determine
The plot for entropy changes of the source and of the working fluid against the source temperature for the heat transfer amounts of
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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 8 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 8 - Prob. 1PCh. 8 - Does the cyclic integral of heat have to be zero...Ch. 8 - Prob. 3PCh. 8 - To determine the entropy change for an...Ch. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - A piston-cylinder device contains helium gas....
Ch. 8 - Prob. 11PCh. 8 - A piston–cylinder device contains superheated...Ch. 8 - The entropy of steam will (increase, decrease,...Ch. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - What three different mechanisms can cause the...Ch. 8 - A completely reversible heat engine operates with...Ch. 8 - Air is compressed by a 15-kW compressor from P1 to...Ch. 8 - Heat in the amount of 100 kJ is transferred...Ch. 8 - In Prob. 8–21, assume that the heat is transferred...Ch. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Is a process that is internally reversible and...Ch. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - An insulated piston–cylinder device contains 5 L...Ch. 8 - Prob. 34PCh. 8 - Water vapor enters a turbine at 6 MPa and 400°C,...Ch. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 40PCh. 8 - A rigid tank contains 5 kg of saturated vapor...Ch. 8 - Prob. 42PCh. 8 - Determine the heat transfer, in kJ/kg, for the...Ch. 8 - Calculate the heat transfer, in Btu/lbm, for the...Ch. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - 2-kg of saturated water vapor at 600 kPa are...Ch. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - A piston–cylinder device contains 5 kg of steam at...Ch. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - An ideal gas undergoes a process between two...Ch. 8 - Prob. 70PCh. 8 - Prob. 71PCh. 8 - Which of the two gases—helium or...Ch. 8 - Air is expanded from 2000 kPa and 500°C to 100 kPa...Ch. 8 - What is the difference between the entropies of...Ch. 8 - Prob. 75PCh. 8 - Prob. 76PCh. 8 - Prob. 77PCh. 8 - Prob. 78PCh. 8 - Air is compressed steadily by a 5-kW compressor...Ch. 8 - Prob. 81PCh. 8 - A mass of 25 lbm of helium undergoes a process...Ch. 8 - Prob. 84PCh. 8 - Prob. 85PCh. 8 - Air at 3.5 MPa and 500°C is expanded in an...Ch. 8 - Prob. 87PCh. 8 - Prob. 88PCh. 8 - Prob. 89PCh. 8 - Prob. 90PCh. 8 - Prob. 91PCh. 8 - Prob. 92PCh. 8 - Prob. 93PCh. 8 - Prob. 94PCh. 8 - Prob. 95PCh. 8 - Prob. 96PCh. 8 - Prob. 97PCh. 8 - Prob. 98PCh. 8 - Prob. 99PCh. 8 - Prob. 100PCh. 8 - Prob. 101PCh. 8 - Prob. 102PCh. 8 - Prob. 103PCh. 8 - Prob. 104PCh. 8 - Prob. 105PCh. 8 - Prob. 106PCh. 8 - Prob. 107PCh. 8 - Prob. 109PCh. 8 - Prob. 110PCh. 8 - Prob. 111PCh. 8 - Steam at 100 psia and 650°F is expanded...Ch. 8 - Prob. 113PCh. 8 - Prob. 114PCh. 8 - Prob. 115PCh. 8 - Prob. 116PCh. 8 - Carbon dioxide enters an adiabatic compressor at...Ch. 8 - Prob. 119PCh. 8 - Prob. 120PCh. 8 - Prob. 122PCh. 8 - Prob. 123PCh. 8 - Prob. 124PCh. 8 - The exhaust nozzle of a jet engine expands air at...Ch. 8 - An adiabatic diffuser at the inlet of a jet engine...Ch. 8 - Hot combustion gases enter the nozzle of a...Ch. 8 - Refrigerant-134a is expanded adiabatically from...Ch. 8 - Prob. 130PCh. 8 - Prob. 131PCh. 8 - Prob. 132PCh. 8 - Prob. 133PCh. 8 - Prob. 134PCh. 8 - Prob. 135PCh. 8 - Prob. 136PCh. 8 - Prob. 137PCh. 8 - Prob. 138PCh. 8 - Prob. 139PCh. 8 - Prob. 140PCh. 8 - Prob. 141PCh. 8 - Prob. 142PCh. 8 - Prob. 143PCh. 8 - Prob. 144PCh. 8 - Prob. 145PCh. 8 - Prob. 146PCh. 8 - Prob. 147PCh. 8 - Prob. 148PCh. 8 - Prob. 149PCh. 8 - Prob. 150PCh. 8 - Prob. 151PCh. 8 - Prob. 152PCh. 8 - Prob. 153PCh. 8 - Prob. 154PCh. 8 - Prob. 155RQCh. 8 - Prob. 156RQCh. 8 - Prob. 157RQCh. 8 - Prob. 158RQCh. 8 - Prob. 159RQCh. 8 - Prob. 160RQCh. 8 - Prob. 161RQCh. 8 - Prob. 162RQCh. 8 - Prob. 163RQCh. 8 - Prob. 164RQCh. 8 - Prob. 165RQCh. 8 - Prob. 166RQCh. 8 - Prob. 167RQCh. 8 - Prob. 168RQCh. 8 - Prob. 169RQCh. 8 - Prob. 170RQCh. 8 - Prob. 171RQCh. 8 - Prob. 172RQCh. 8 - Prob. 173RQCh. 8 - Determine the work input and entropy generation...Ch. 8 - Prob. 175RQCh. 8 - Prob. 176RQCh. 8 - Prob. 177RQCh. 8 - Prob. 178RQCh. 8 - Prob. 180RQCh. 8 - Prob. 181RQCh. 8 - Prob. 182RQCh. 8 - A 1200-W electric resistance heating element whose...Ch. 8 - Prob. 184RQCh. 8 - Prob. 185RQCh. 8 - Prob. 186RQCh. 8 - Prob. 187RQCh. 8 - Prob. 188RQCh. 8 - Prob. 189RQCh. 8 - Prob. 190RQCh. 8 - Consider a 50-L evacuated rigid bottle that is...
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