19.110SLEoz19.1-22. Diffusion and Heterogeneous Reaction on a Surface. In a tube of radius R m filledwith a liquid, dilute component A is diffusing in the nonflowing liquid phase repre-sented by16be A828XUhShe lESEdcNA=-DAB3500AАВdzwhere z is distance along the tube axis. The inside wall of the tube exerts a catalyticeffect and decomposes A so that the heterogeneous rate of decomposition on thewall in kg mol A/s is equal to kc Aw, where k is a first-order constant and Ay is thewall area in m2. Neglect any radial gradients (this means a uniform radialconcentration).Derive the differential equation for unsteady state for diffusion and reactionfor this system. [Hint: First make a mass balance for A for a Az length of tube as fol-lows: rate of input (diffusion) +rate of generation (heterogeneous) rate of outpur(diffusion)+ rate of accumulation.]sdsa'сА2kдсАA= DAns.ARaz3АВOTOt19.2-1.

Rate of input (difusion) - Rate of output (diffusion)+ Rate of generation(hetrogeneous) = Rate of…

Answered: 19.1 10 SLE oz 19.1-22. Diffusion and…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Reconsider Prob. 14–22. Using EES (or other) software, plot the diffusion coefficient as a function of the temperature in the range of 200 K to 1200 K. Problem. 14–22 The diffusion coefficient of hydrogen in steel is given as a function of temperature as DAB = 1.65 × 10-6 exp(–4630/T) (m2 /s) where T is in K. Determine the diffusion coefficients at 200 K, 500 K, 1000 K, and 1500 K.
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?
The molecular weights of two components A and B of a gas mixture are 24 and 28 respectively. The molecular weight of gas mixture is found to be 30. If the mass concentration of the mixture is 1.2 kgm3, determine i) Molar fractions, ii) mass fractions, iii) Total pressure if the temperature of the mixture is 290K.
Calculate the diffusion constant, D, for the process at a diffusion temperature of T=1150 ⁰C given that D0 = 5.5 *10-5 m2/s; Qd = 148,000 J/mol.
A sheet of steel with 3.5-mm thickness has a nitrogen atmospheres on both sides at 900°C and is permitted to achieve a steady-state diffusion condition. The diffusion flux is found to be (1.0 ×10^-7 )kg/m^2×second.Also it is known that the concentration of nitrogen in steel at the high-pressure surface is 2 kg/m^3.How far into the sheet from this high-pressure side will the concentration be 0.5 kg/m^3?Assume a linear concentration profile.
[Decarburization] An FCC iron-carbon alloy initially containing carbon with the concentration, C0, is exposed to anoxygen-rich and virtually carbon-free atmosphere. Under the given conditions, the carbon diffuses from the alloy andreacts at the surface with the oxygen in the atmosphere, meaning that the carbon concentration at the surface position is maintained essentially at 0 wt% C. The subproblems are independent.(1) Determine the diffusion coefficient at the temperature T given below. Use T = 1250 °C(2) When the value of D is given below, what position will the carbon concentration be Cx after a treatment for thetime, t? Use D = 1.93 × 10−10m2 /s; C0 = 0.35 wt%; Cx = 0.11 wt%; t = 12 hr
The diffusion coefficient of Ni in Cu at 1025 C is 10-9 cm2 s-1. How long does it take for the mean square root of the distance to be 1 cm?
Use the definition of the Sherwood number to calculate the mass transfer coefficient (in cm/s) for a scenario where the characteristic length is 0.034 m, the diffusivity is 0.00099 cm^2/s, and the Sherwood number is 3.5.
A 300 ml sample of dry oxygen at STP ( standard temperature and pressure ) is transferred to a container over water at 19 deg C and 750 mmHg. What is the new volume of the oxygen?
Design a spherical tank, with a wall thickness of 2 cm that will assure that nomore than 50 kg of hydrogen will be lost per year. The tank, which will operateat 500 °C, can be made of nickel, aluminum, copper, or iron. The diffusioncoefficient of hydrogen and the cost per kg for each available material is listedhere. (Assume that the tank capacity is 15 kg) Material D0 (cm2/s) Q (cal/mol) Cost ($/kg)Nickel 0.0055 8900 9.0Aluminium 0.16 10340 1.32Copper 0.011 9380 2.43Iron (BCC) 0.0012 3600 0.33
In an absorption tower, ammonia is absorbed from air at atmospheric pressure by aceticacid. The flowrate of 2 kg/m2s in a test corresponds to a Reynolds number of 5100 andhence a friction factor R/ρu2 of 0.020. At the temperature of absorption the viscosity ofthe gas stream is 0.018 mNs/m2, the density is 1.154 kg/m3 and the diffusion coefficientof ammonia in air is 1.96 × 10−5 m2/s. Determine the mass transfer coefficient throughthe gas film in kg/m2s (kN/m2) Explain briefly .
Testing of a stoker fired boiler revealed that, during a period when 2064 kg of 3100 kcal coal were bund, refuse accumulated in the ashpit to the extent of 225 kg, although the coal as fired contain only 10.0 % ash by analysis. Determine the grate efliciency of this stoker (No fly-ash).

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