A hollow tube 20 cm long is initially filled with air conditioning 4% of ethly alcohol...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A hollow tube 20 cm long is initially filled with air conditioning 4% of ethly alcohol vapors. At the bottom of the tube is a pool of alcohol which evaporates into the stagnant gas above. (Heat transfer from the surroundings to maintain a constant temperature of 25C, at which temperature the vapor pressure is 0.1 atm.) At the upper end of the tube, the alcohol vapors dissipates to the outside air, so the concentration is nearly zero. Considering only the effects of molecular diffusion, determine the concentration of alcohol as a function of time and the distance x measured from the top of the tube. Concentration of ethly alcohol, c, satisfies 2 for 0 < x < 20 and t > 0, ax at with c(x, 0) = 4 and c(0, t) = 0 and c(20, t) = 10 D Here D = 0.15- ( m) i is the diffusion coefficent of ethly alcohol into air at 25C, and the vapor pressure is such that the concentration of ethly alcohol at x = 20 cm is 10%. (a) Find an analytical solution for the concentrationdistribution c(x, t) using Laplace Transform, or Fourier Transform or Normal Mode Analysis. (b) Subdivide the length of the tube into 200 intervals. For At = 0.01 and 0.04 seconds find the solution using a finite difference method. Employ both explicit and implicit methods for both time steps. Plot c (3, t), c(10, t) and c(16, t) predicted by the explicit and implicit finite difference methods for both time steps and compare these profiles against the results obtained from the analytical solutions. (c) Plot concentration profiles: c(x,5), c(x,25), c(x,150) and c(x,750) obtained either from Analtyical method or Numerical Method. A hollow tube 20 cm long is initially filled with air conditioning 4% of ethly alcohol vapors. At the bottom of the tube is a pool of alcohol which evaporates into the stagnant gas above. (Heat transfer from the surroundings to maintain a constant temperature of 25C, at which temperature the vapor pressure is 0.1 atm.) At the upper end of the tube, the alcohol vapors dissipates to the outside air, so the concentration is nearly zero. Considering only the effects of molecular diffusion, determine the concentration of alcohol as a function of time and the distance x measured from the top of the tube. Concentration of ethly alcohol, c, satisfies 2 for 0 < x < 20 and t > 0, ax at with c(x, 0) = 4 and c(0, t) = 0 and c(20, t) = 10 D Here D = 0.15- ( m) i is the diffusion coefficent of ethly alcohol into air at 25C, and the vapor pressure is such that the concentration of ethly alcohol at x = 20 cm is 10%. (a) Find an analytical solution for the concentrationdistribution c(x, t) using Laplace Transform, or Fourier Transform or Normal Mode Analysis. (b) Subdivide the length of the tube into 200 intervals. For At = 0.01 and 0.04 seconds find the solution using a finite difference method. Employ both explicit and implicit methods for both time steps. Plot c (3, t), c(10, t) and c(16, t) predicted by the explicit and implicit finite difference methods for both time steps and compare these profiles against the results obtained from the analytical solutions. (c) Plot concentration profiles: c(x,5), c(x,25), c(x,150) and c(x,750) obtained either from Analtyical method or Numerical Method.
Expert Answer:
Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
Students also viewed these mechanical engineering questions
-
A 1.5-m-diameter, 4-m-long cylindrical propane tank is initially filled with liquid propane, whose density is 581 kg/m 3 . The tank is exposed to the ambient air at 25°C in calm weather. The...
-
a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...
-
Two popular methods of financial statement analysis are horizontal analysis and vertical analysis. Explain the difference between these two methods. Discuss.
-
Auerbach Inc. issued 4% bonds on October 1, 2016. The bonds have a maturity date of September 30, 2026 and a face value of $300 million. The bonds pay interest each March 31 and September 30,...
-
How do express warranties differ from implied warranties? Discuss.
-
Regional Support for Same Sex Marriage The website http://www.pewresearch.org/ fact-tank/2014/10/15/gay - marriage - arrives - in -the - south-where-the-public-is-less-enthused shows the changing...
-
Prince Corp. and Sprite Corp. reported the following balance sheets at January 1, 2017: On January 2, 2017, Prince issued $36,000 of stock and used the proceeds to purchase 90% of Sprite's common...
-
Retained earnings, July 31, 2020 $ 36,300 Cost of goods sold $ 137,400 Accounts receivable 28,300 Cash 26,000 Net revenues Total current liabilities All other expenses Other current assets Other...
-
Give introduction on firewalls and identify two specific products from different vendors. Based on two products, please research the differences and similarities between the two products. You should...
-
One of the most important contributions of criminology to the study of fraud is: 1. The M.I.C.E. concept 2. The fraud triangle 3. The relationship of punishment to remediation 4. None of the above
-
What was the name of Enrons fair value accounting model?
-
Can the graphic highlight both the employee lacking the approval and the number of hours for each incident?
-
What transferable skills can individuals trained in either game design or user experience (UX) design bring to the practice?
-
Which of the following best describes skimming? 1. Skimming involves the theft of cash after the cash is recorded in the companys accounting system. 2. Skimming involves the theft of cash prior to...
-
A block on a frictionless surface starts at a height of 2 meters above the floor and slides down a ramp 6 meters long. What is the velocity of the block when it is 1.5 meters above floor level? a)...
-
The first law of thermodynamics is sometimes whimsically stated as, You cant get something for nothing, and the second law as, You cant even break even. Explain how these statements could be...
-
Using EES (or other) software, repeat Prob. 15-119 for (a) 50, (b) 100, and (c) 200 percent excess air. Prob. 15-119 Using EES (or other) software, determine the rate of heat transfer for the fuels...
-
Steam at 6 MPa and 500C enters a two-stage adiabatic turbine at a rate of 15 kg/s. 10 percent of the steam is extracted at the end of the first stage at a pressure of 1.2 MPa for other use. The...
-
It is argued that hydraulic turbines cannot have an efficiency of 100 percent even in the absence of irreversible losses due to limitation by the second law of thermodynamics. Do you agree? Explain.
-
What are the types of interpersonal communication?
-
How does one choose between communication methods and handle barriers to effective communication?
-
What are the various forms of virtual communication used in modern organizations?
Study smarter with the SolutionInn App