Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 14, Problem 14.19P
To determine
Initial rate of mass loss of hydrogen by diffusion through the tank wall and initial rate of pressure drop within the tank.
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A tanker ship is transporting 0.798 kg/m3 of a rare gas in its tank. After the fill-up, the 1.94 m long pipe used to fill the tank was left open for 10.4 hours. In that time, 11.7 x10-4 kg of the gas diffuses out of the tank, almost nothing compared to the original quantity of gas in the tank. If the concentration of that gas in our atmosphere is typically zero, and the diffusion constant of that gas is 2.13 x10-5 m2/s, what is the cross-sectional area of the pipe?
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.
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/s
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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- Determine the binary diffusion coefficient of H₂ in air at 200 K and 1 atm in m²/s. (A) 4.83x10-5 B) 2.35x10-5 2.43x10-5 (D) 1.13x10-5arrow_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_forwardState and explain Fick's Law of mass transfer by molecular diffusion. Show that Fick's law of diffusion is analogous to Fourier's law of heat conduction and Newton's law of viscosity.arrow_forward
- I need it fast handwritten onlyarrow_forwardCarbon is being diffused into chromium at 1400 K (1127°C). The diffusion coefficient at this temperature for the system is 6.25 x 10-11 m/s. Based on this information, calculate the diffusion coefficient of carbon in chromium at a temperature 1300 K (827°C). The activation energy for the diffusion of carbon in chromium is 111,000 J/mol.arrow_forwardBriefly discuss the role and purpose of heat and mass transfer in engineering and provide any two examples of heat and mass transfer applications,arrow_forward
- Consider a sheet of Iron which is maintained in an atmosphere filled with nitrogen and is permitted to achieve and steady state diffuseion. The thickness of the sheet is 6.5mm. The diffusion coefficient of nitrogen in iron is 1.9 × 10-11 m2/s at 6750C. If the concentration on the high-pressure side of the plate is 3kg/m3 and the diffusion flux is 1.7 × 10-8 kg/m2 s . Determine the concentration on the low-pressure side of the plate if the depth of concentration of low-pressure side is 0.001 m. A) 3.2 kg/m3 B) -3 kg/m3 C) 2.1 kg/m3 D) 0.001 kg/m3arrow_forwardGaseous hydrogen at a constant pressure is to flow within the inside of a thin-walled cylindrical tube of nickel. Consider the steady-state diffusion of hydrogen through the walls of this cylindrical nickel tube. One design calls for a diffusion flux of 5 x 10-8 mol/m2.s, a tube radius of 0.125 m, and inside and outside pressures of 0.5065 MPa (5 atm) and 0.0203 MPa (0.2 atm), respectively; the maximum allowable temperature is 450°C. In case the wall thickness is 2 mm and the yield strength is greater than twice the circumferential stress, what would be the temperature to give this diffusion flux and yet ensure that the tube walls will not experience any permanent deformation? i °Carrow_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_forward
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