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 7, Problem 45P
(a)
To determine
The electric power drawn by the heat pump.
(b)
To determine
The rate of heat absorption from the outdoor air.
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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 7 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 7 - Prob. 1PCh. 7 - Describe an imaginary process that satisfies the...Ch. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - What are the characteristics of all heat engines?
Ch. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
Ch. 7 - Does a heat engine that has a thermal efficiency...Ch. 7 - Prob. 12PCh. 7 - Are the efficiencies of all the work-producing...Ch. 7 - Consider a pan of water being heated (a) by...Ch. 7 - A steam power plant receives heat from a furnace...Ch. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - The thermal efficiency of a general heat engine is...Ch. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - In 2001, the United States produced 51 percent of...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - What is the Clausius expression of the second law...Ch. 7 - Show that the Kelvin–Planck and the Clausius...Ch. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - A residential heat pump has a coefficient of...Ch. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - A household refrigerator that has a power input of...Ch. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - A household refrigerator runs one-fourth of the...Ch. 7 - A heat pump used to heat a house runs about...Ch. 7 - Prob. 51PCh. 7 - Consider a building whose annual air-conditioning...Ch. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Why does a nonquasi-equilibrium compression...Ch. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Is there any way to increase the efficiency of a...Ch. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Prob. 71PCh. 7 - Prob. 72PCh. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - An inventor claims to have devised a cyclical...Ch. 7 - A heat engine receives heat from a heat source at...Ch. 7 - In tropical climates, the water near the surface...Ch. 7 - A well-established way of power generation...Ch. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 83PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 87PCh. 7 - Prob. 88PCh. 7 - Prob. 89PCh. 7 - Prob. 90PCh. 7 - Prob. 91PCh. 7 - Prob. 92PCh. 7 - Prob. 93PCh. 7 - Prob. 94PCh. 7 - Prob. 95PCh. 7 - Prob. 96PCh. 7 - Prob. 97PCh. 7 - Prob. 98PCh. 7 - Prob. 99PCh. 7 - Prob. 100PCh. 7 - Prob. 101PCh. 7 - Prob. 102PCh. 7 - Prob. 103PCh. 7 - Prob. 104PCh. 7 - Prob. 105PCh. 7 - Prob. 106RQCh. 7 - Prob. 107RQCh. 7 - Prob. 108RQCh. 7 - Prob. 109RQCh. 7 - Prob. 110RQCh. 7 - Prob. 111RQCh. 7 - Prob. 112RQCh. 7 - Prob. 114RQCh. 7 - Prob. 115RQCh. 7 - Prob. 117RQCh. 7 - Prob. 118RQCh. 7 - Prob. 119RQCh. 7 - Prob. 120RQCh. 7 - Prob. 121RQCh. 7 - Prob. 122RQCh. 7 - Prob. 123RQCh. 7 - Prob. 124RQCh. 7 - Prob. 125RQCh. 7 - Prob. 127RQCh. 7 - The drinking water needs of a production facility...Ch. 7 - Prob. 129RQCh. 7 - Prob. 131RQCh. 7 - Prob. 132RQCh. 7 - Prob. 133RQCh. 7 - Prob. 134RQCh. 7 - Prob. 136RQCh. 7 - Prob. 137RQ
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