Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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- 211arrow_forwardA continuous distillation column is operating at steady state to purify alcohol from a mixture of water and alcohol. Addition of salt breaks the azeotrope and allows for more pure alcohol. Liquid containing, by mass, 55% isopropanol, 8% salt and the rest water, is fed to the column. The vapor product stream (distillate) at the top of the column flows at the same mass flow rate as the bottom liquid stream (bottoms). The vapor product stream contains 80% isopropanol and no salt.a. Define azeotrope and explain why adding salt allows removal of more water from alcohol.b. Draw and label a flowchart. Do degree of freedom analysis to see if all unknowns can be solved.c. Calculate the mass fraction of salt in the bottoms.d. Calculate the fraction of isopropanol from the feed that is in the bottoms (kg IPA in bottoms/kg IPA in feed).arrow_forward28.21 A 1 x 10-2 m spherical pellet is sprayed with a very thin coat of paint. The paint contains a volatile solvent. To dry the pellet, a 300 K and 1.013 × 105 Pa air stream flows around it with a bulk velocity of 1 m/s. The estimated loading of the solvent in the wet paint is 0.12 g solvent/cm³. Physical properties are vapor pressure of the solvent = 1.27 x 104 Pa mass diffusivity of solvent in air = 9.62 x 10-6 m²/s kinematic viscosity of air density of air = 1.569 x 10-5 m²/s = 1.177 kg/m³ thermal conductivity of air thermal diffusivity of air heat capacity of air = 2.624 x 10-2 J/m.s. K = 2.216 x 10-5 m²/s = 1.006 J/g. K = 78 g/g mole molecular weight of the solvent Use the McAdam's¹¹ equation Nu = 0.37(Redp) 0.6 (Pr) 1/3, where Redp dp vx V to evaluate (a) the heat-transfer coefficient, h; (b) the mass-transfer coefficient, ke; (c) the molar flux of the solvent into the air stream.arrow_forward
- One integrated circuit design calls for the diffusion of arsenic into silicon wafers; the background concentration of As in Si is 2.5 × 1020 atoms/m³. The predeposition heat treatment is to be conducted at 1000°C for 45 minutes, with a constant surface concentration of 8 x 1026 As atoms/m³. At a drive-in temperature of 1100°C, determine the diffusion time required for a junction depth of 1.2 μm. For this system, values of Qd and Do are 4.10 eV and 2.29 × 10-³ m²/s, respectively. hoursarrow_forwardA cylindrical tube connects two large gas tanks (Tank-1 and 2). Both tanks contain mixture of carbon dioxide (CO₂) and sulphur dioxide (SO₂). The partial pressure of carbon dioxide in Tank-1 is 80 kPa and in Tank-2 is 20kPa. Both tanks and connecting tube are at 100 kPa and 263 K. The tube is 100 mm long. The diffusion coefficient of carbon dioxide is 0.064 cm²/s at 100 kPa and 263 K, and molar mass of carbon dioxide is 44 kg/kmol. Calculate the steady-state flux of carbon dioxide through the tube, assuming ideal gas is applied. 11.755 x 10-3 mol/m².s O 7.755 x 10-3 mol/m².s 4.755 x 10-3 mol/m².s 1.755 x 10-3 mol/m².sarrow_forwardPlease help, complete solution need.arrow_forward
- Q2:. (a) For a free electron with a velocity of lo7 cm/s, what is its de Broglie wavelength. (b) In GaAs, the effective mass of electrons in the conduction band is 0.063 mo. If they have the same velocity, find the corresponding de Broglie wavelength.arrow_forwardA cylindrical tube connects two large gas tanks (Tank-1 and 2). Both tanks contain mixture of carbon dioxide (CO₂) and sulphur dioxide (SO₂). The partial pressure of carbon dioxide in Tank-1 is 80 kPa and in Tank-2 is 20kPa. Both tanks and connecting tube are at 100 kPa and 263 K. The tube is 100 mm long. The diffusion coefficient of carbon dioxide is 0.064 cm²/s at 100 kPa and 263 K, and molar mass of carbon dioxide is 44 kg/kmol. Find the rate of flow of carbon dioxide in question 11 if the cross-sectional area of the tube is 4 mm². 47.02 x 10-⁹ mol/s 31.02 x 10-⁹ mol/s 19.02 x 10-⁹ mol/s 7.02 x 10-⁹ mol/sarrow_forwardProblem #1: Diffusion-convection problems wherein the species diffusivity is concentration-dependent often provide a differential equation of the following general form: where Cis the dimensionless concentration and z is the dimensionless distance. Assume vL/D, is a constant. Assume that C= 1 at z = 0, and C=0 when z is very large. Solve the above differential equation and provide an exact analytical equation for C=ft:). Problem #2: In a diffusion-reaction system, reactant 'A' diffuses through a porous catalyst pellet and reacts in a 1* order reaction to produce 'B'. Efficacy of the catalyst in converting 'A' to 'B' is a function of 'x' such that the mass balance equation describing the system at steady-state is: d?c Dari -kīC = 0 Cis the concentration of 'A' that varies in the x-direction, k is the 1t order reaction rate constant, and D is the diffusion coefficient of 'A'. L is the thickness of the catalyst layer, and can be treated as a constant. First, non-dimensionalize the…arrow_forward
- A spherical mothball initially with radius, Ro, is shrinking in volume due to the sublimation of naphthalene through the air in a large room. At room temperature (T) and pressure (PT), the naphthalene (with molecular weight as MWa) in the mothball exerts a vapor pressure (VPa). It is of interest to investigate the rate at which the mothball is shrinking due to the diffusion of naphthalene in an air-rich environment. A. Illustrate the physical model/s that can describe the diffusion of naphthalene through the air-rich environment (room). Indicate the control volume/s (differential volume/s) as an expression of the transfer area and distance. Specify the components needed in establishing the shell balance. Indicate the boundary conditions and illustrate the direction of transfer in each physical model. Note: Express the radial distance from the mothball surface as r, while the shrinking radius of the mothball is expressed as R. Use and define subscripts, as necessary. B. For each…arrow_forwardA steel sheet is exposed to a nitrogen rich atmosphere at 900°C and achieves steady-state diffusion. The diffusion coefficient for nitrogen at this temperature is 1.85 x 10-10 m2 kg and the diffusion flux is 1.0 x 10-7 If the initial concentration of sec m².sec kg nitrogen in the steel at the high-pressure surface is 2 at what distance into the sheet m39 will the concentration of nitrogen be 0.5 *9? m3 4 360 words D Focus 255% e Type here to search IA 5:02 PM W 2/24/2022 10 165HZ V WQHD |. ROG ZEPHYRUS 100% DCI-P3 PANTONE Validated F5 F9 F10 ESC AURA DELETE %24 & %3D P www ENT G Karrow_forwardFor each unknown liquid, predict, based upon structure, if the molecule is polar or nonpolar. Explain your answer. Research and list in a table format include the boiling points (1 atm) and heat of vaporization (at 25oC) for each substance. Unknown Liquids: Toluene, n-Butanol, Hexane, ethylene glycol, acetone, hydrogen oxidearrow_forward
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