Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14, Problem 14.2P
Consider an ideal gas mixture of n species.
(a) Derive an equation for determining the mass fraction of species i from knowledge of the mole traction and the molecular weight of each of the n species. Derive an equation for determining the mole fraction of species i from knowledge of the mass fraction and the molecular weight of each of the ii species.
(b) In a mixture containing equal mole fractions of O2, N, and CO2, what is the mass fraction of each species? In a mixture containing equal mass fractions of O, N, and CO. what is the mole fraction of each species?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The viscosity values for the H2 and Freon-12 gas mixtures at 25 ° C and 1 atm pressure and the mole fractions of the mixture are given in the table below. For H2 and Freon-12, calculate the viscosity values of the mixture for 3 different compositions using pure viscosity values.
H2 Mol Frac.
0,00
0,25
0,50
0,75
1,00
Viscosity (µ) x 106
(poise)
124,0
128,1
131,9
135,1
88,4
Thermo-fluid
Mechanics
I want a quick solution
I want tge solution pls
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The figure below shows five different steady-state concentration profiles from five separate tests, which had the same gas across identical membranes at the same temperature. Rank the diffusion flux of the five concentration profiles from lowest to highest. Using bullet points explain your answer. C(x)' (a) (b) (c) (d) (e) Membrane Thicknessarrow_forwardA gas mixture has the following composition on a mole basis: 60 percent N₂ and 40 percent CO2. Determine the gravimetric analysis of the mixture, its molar mass, and the gas constant. The universal gas constant is Ru= 8.314 kJ/kmol-K. Use the table containing the molar mass, gas constant, and critical-point properties. The mass fraction of N₂ is 48.8 %. The mass fraction of CO2 is 51.2 %. The molar mass of the mixture is The gas constant of the mixture is 197 kg/kmol. 197 kJ/kg-K.arrow_forwardFind the diffusitivity of air in methane and the molecular diffusion of methane, if the tank filled with a mixture of methane and air at 102 kPa and 25 ⁰C is connected to another large tank filled with a different composition of methane and air also at 102 kPa and 25 ⁰C. The connection between the tanks is a tube with an inner diameter of 50 mm and length of 150 mm. The concentration of methane in one tank is 90% by mole and in the other, 5% by mole.arrow_forward
- Thermal fluid mechanics Detailed solution With an understanding of the laws of the subjectarrow_forwardInsulation degrades (experiences an increase in thermal conductivity) if it is subjected to water vapor condensation. The problem may occur in home insulation during cold periods, when vapor in a humidified room diffuses through the drywall (plaster board) and condenses in the adjoining insulation. Estimate the mass diffusion rate for a 3 m × 4 m wall, under conditions for which the vapor pressure is 0.035 bar in the room air and 0.0 bar in the insulation. The drywall is 15 mm thick, and the solubility of water vapor in the wall material is approximately 5 × 10−3 kmol/m3 ⋅ bar. The binary diffusion coefficient for water vapor in the drywall is approximately 10−9 m2/s.arrow_forwardDetermine the mole fractions of a gas mixture that consists of 75% CH4 and 25% CO₂ by mass. Also determine the gas constant of the mixture.arrow_forward
- The composition of a mixture of gases 60% carbon dioxide, 20%oxygen and 20% Helium by volume. What is the apparent molecular weight of this mixture?arrow_forwardConsider 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_forwardWet air containing 4.0 mole% water vapor is passed through a column of calcium chloridepellets. The pellets adsorb 97.0% of the water and none of the other constituents of the air.The column packing was initially dry and had a mass of 3.40 kg. Following 5.0 hours ofoperation, the pellets are reweighed and found to have a mass of 3.54 kg. Calculate the molarflow rate (mol/h) of the feed gas and the mole fraction of water vapor in the product gas. Themole fraction of water in the product gas is monitored and found to have the value calculatedin part (a) for the first 10 hours of operation, but then it begins to increase.What is the most likely cause of the increase?If the process continues to run, what will the mole fraction of water in the product gaseventually be?arrow_forward
- Gaseous 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_forwardOxygen gas is maintained at a pressure of 4 bar and 1 bar on opposite sides of a membrane. The plastic membrane is 0.4 mm thick. What is the mass flow rate of oxygen in unit area through the membrane? Diffusivity of oxygen through the plastic membrane D = 2x10-8 m2/s Solubility of oxygen in the membrane material S = 10-6 kg/m3.Paarrow_forwardThe wear resistance of a steel shaft is to be improved by hardening its surface by increasing the nitrogen content within an outer surface layer as a result of nitrogen diffusion into the steel; the nitrogen is to be supplied from an external nitrogen-rich gas at an elevated and constant temperature. The initial nitrogen content of the steel is 0.0020wt%, whereas the surface concentration is to be maintained at 0.50wt%. For this application, a nitrogen content of 0.10wt% at a position 0.40 mm below the surface is desired. I. Will this process be a steady state or non-steady state process? Why? II. Would you expect nitrogen to diffuse by a vacancy mechanism or an interstitial mechanism? Why?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Properties of Fluids: The Basics; Author: Swanson Flo;https://www.youtube.com/watch?v=TgD3nEO1iCA;License: Standard YouTube License, CC-BY
Fluid Mechanics-Lecture-1_Introduction & Basic Concepts; Author: OOkul - UPSC & SSC Exams;https://www.youtube.com/watch?v=6bZodDnmE0o;License: Standard Youtube License