Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 14, Problem 14.15P
A thin plastic membrane is used to separate helium from a gas stream. Under steady-state conditions the concentration of helium in the membrane is known to be 0.02 and
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A thin plastic membrane is used to separate helium from a current.gaseous. Under steady-state conditions, a concentration of helium in the membrane is known to be 0.02 and 0.005 kmol/m³ on the inner and outer surfaces, respectively.
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6. A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6 10-11 m2/s, and the diffusion flux is found to be 1.2 10-7 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3. How far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3? Assume a linear concentration profile.
Chapter 14 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 14 - Assuming air to be composed exclusively O2 and N2...Ch. 14 - Consider an ideal gas mixture of n species. (a)...Ch. 14 - A mixture of CO2 and N2 is in a container at 25C ,...Ch. 14 - A He-Xe mixture containing 0.75 mole fraction of...Ch. 14 - Estimate values of the mass diffusivity for binary...Ch. 14 - Consider air in a closed, cylindrical container...Ch. 14 - An old-fashioned glass apothecary jar contains a...Ch. 14 - Consider the evaporation of liquid A into a column...Ch. 14 - An open pan of diameter 0.2 m and height 80mm...Ch. 14 - A spherical droplet of liquid A and radius...
Ch. 14 - The presence of a small amount of air may cause a...Ch. 14 - A laboratory apparatus to measure the diffusion...Ch. 14 - A thin plastic membrane is used to separate helium...Ch. 14 - Prob. 14.16PCh. 14 - Consider the radial diffusion of a gaseous species...Ch. 14 - Prob. 14.18PCh. 14 - Prob. 14.19PCh. 14 - Prob. 14.20PCh. 14 - Hydrogen at a pressure of 2 atm flows within a...Ch. 14 - Prob. 14.22PCh. 14 - Insulation degrades (experiences an increase in...Ch. 14 - Prob. 14.24PCh. 14 - Helium gas at 25°C and 4 bars is stored in a...Ch. 14 - Prob. 14.26PCh. 14 - An experiment is designed to measure the partition...Ch. 14 - Ultra-pure hydrogen is required in applications...Ch. 14 - Nitric oxide (NO) emissions from automobile...Ch. 14 - Pulverized coal pellets, which may be approximated...Ch. 14 - To enhance the effective surface, and hence the...Ch. 14 - A platinum catalytic reactor in an automobile is...Ch. 14 - A novel process has been proposed to create a...Ch. 14 - Consider a spherical organism of radius r0 within...Ch. 14 - Prob. 14.35PCh. 14 - Consider combustion of hydrogen gas in a mixture...Ch. 14 - Prob. 14.37PCh. 14 - As an employee of the Los Angeles Air Quality...Ch. 14 - Prob. 14.39PCh. 14 - A large sheet of material 4() mm thick contains...Ch. 14 - Prob. 14.41PCh. 14 - Prob. 14.43PCh. 14 - Prob. 14.44PCh. 14 - Prob. 14.46PCh. 14 - If an amount of energy Q0(J/m2) is released...Ch. 14 - The presence of CO2 in solution is essential to...Ch. 14 - Consider a DVD similar to that of Problem 5.99. To...Ch. 14 - Prob. 14.50PCh. 14 - Prob. 14.51PCh. 14 - Prob. 14.52PCh. 14 - Prob. 14.55PCh. 14 - A person applies an insect repellent onto an...
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- If the average velocity of molecules in a gas is 104 cm/s and the mean free path is 10-5 cm then the diffusion coefficient is: O a. 5x10-2 cm2/s O b. 5X10-5 cm2/S O c. 5x10-3 cm²/s O d. 5X10-4 cm²/sarrow_forwardHandwritten handwrittenHandwritten handwrittenarrow_forwardA practical example of steady-state diffusion is the purification of hydrogen gas where one side of a thin sheet of palladium is exposed to impure gas containing hydrogen, nitrogen, oxygen, and water vapor. Hydrogen selectively diffuses through the sheet and exits the other side as purified hydrogen, while the other gaseous species do not penetrate the sheet noticeably. Compute the amount of hydrogen (in kilograms per hour) that passes through a 6-millimeter thick sheet of palladium with surface area equal to 0.25 m^2 at 600 degrees C. The diffusivity (or diffusion coefficient) of hydrogen in palladium is 1.7 *10^-8 m^2/s. The concentration on the high-pressure side is 2.0 kg of hydrogen per cubic meter of palladium, and is 0.4 (same units) on the low-pressure side.arrow_forward
- Q3. Air is contained in a tyre tube of: 40 Surface area = 0.5 m2 Wall thickness = 10 mm %3D The pressure of air drops from ( 2.2 bar) to ( 2.18 bar ) in a period of ( 6 days ). The solubility of air in the rubber is ( 0.072 m³ ) of air per m³ of rubber at pressure ( 1.0 bar ). Determine the diffusivity of air in rubber at an operating temperature of ( 300 K ), if the volume of air in a tube is (0.028 m³ ). %3D Take: Gas constant of air = 287 J/ kg.K. ne 8.5r" m21sen 8.55xarrow_forwardThermal fluid mechanics Detailed solution With an understanding of the laws of the subjectarrow_forwardI need it fast handwritten onlyarrow_forward
- Solve with me time 40 minutesarrow_forwardA l-mm sheet of FCC iron is used to contain nitrogen in a heat exchanger at 1200°C. The concentration of N at one surface is 0.04 atomic percent and the concentration at the second surface is 0.005 atomic percent. Determine the flux of nitrogen through the foil in N atoms/cm2's. Hint: The diffusion coefficient D is related to temperature by an Arrhenius-type еquation D = Doexp(-) RT For the diffusion couple N in FCC iron, the activation energy Q is 8.269 kJ/mol and Do is 0.34 mm²/s. R is the gas constant 8.314 J/mol·K.arrow_forwardThe diffusion coefficients for carbon in nickel are given at two temperatures: T(°C) D (m²/s) (a) Determine the value of Do. i (b) Determine the value of Qd. i i kJ/mol (c) What is the magnitude of D? at 810°C. 600 700 ! m²/s (Use scientific notation.) 5.5 x 10-14 3.9 × 10-13 m²/s (Use scientific notation.)arrow_forward
- Consider steady 2D diffusion through a funnel. The funnel radius varies linearly with the distance along the funnel axis according to the following formula: rx=r0*(1+x/L). r0 = 1mm, L=1cm.arrow_forwardThe surface of a solid sphere is covered by a monolayer of receptors for a ligand. When the ligands diffuse to the surface of the sphere, they are captured instantaneously by the receptors. The ligand diffusion coefficient is 4.8*10-9m2/s. Assume the bulk concentration far away from the sphere is constant of 1.2nM and the sphere radius is 2.8 μm. (a) Find the ligand concentration C at the location of r=2.7 μm at steady state, where r is the distance to the surface of the sphere. Please enter the numerical value with a unit of nM.arrow_forwardGive me right solution according to the question... Careful with given unitsarrow_forward
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