Porous cylindrical pellets are used in packed beds for catalytic reaction of the type A Products....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Porous cylindrical pellets are used in packed beds for catalytic reaction of the type A Products. Intraparticle diffusion controls the reaction rate owing to the tortuous passage of reactant through the uniform porous structure of the pellet. Performing a steady material balance for the diffusion-reaction of species A it is obtained (for a first order kinetics) dC = 0 r dr dr where DA is pore diffusivity of species A, CA is molar composition, ks is surface reaction constant, and as represent internal area per unit volume of pellet (constant). a. If the bulk gas composition is a constant, CAO, and the gas velocity is so slow that a finite film resistance exists at the particle boundary (where r = R), then introduce the variables transformation 1 d DA b. Apply the boundary condition 1. 2. and show and show the material balance equation becomes d²y dx² dC₁ dr y = C₁ CAD 20 dy + X- dx The concentration at r= x= 0 is finite. -DA = K (CAR-C40) kça, V DA x=r. -x²y=0 kças DA = C₁0 Dksas 1, RD kc + lo ksas D₁ Porous cylindrical pellets are used in packed beds for catalytic reaction of the type A Products. Intraparticle diffusion controls the reaction rate owing to the tortuous passage of reactant through the uniform porous structure of the pellet. Performing a steady material balance for the diffusion-reaction of species A it is obtained (for a first order kinetics) dC = 0 r dr dr where DA is pore diffusivity of species A, CA is molar composition, ks is surface reaction constant, and as represent internal area per unit volume of pellet (constant). a. If the bulk gas composition is a constant, CAO, and the gas velocity is so slow that a finite film resistance exists at the particle boundary (where r = R), then introduce the variables transformation 1 d DA b. Apply the boundary condition 1. 2. and show and show the material balance equation becomes d²y dx² dC₁ dr y = C₁ CAD 20 dy + X- dx The concentration at r= x= 0 is finite. -DA = K (CAR-C40) kça, V DA x=r. -x²y=0 kças DA = C₁0 Dksas 1, RD kc + lo ksas D₁
Expert Answer:
Answer rating: 100% (QA)
Solution a Given CA CAO y dy X So we have dx dr 1 dx r dr r 1 CAO 1 ... View the full answer
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
A second-order reaction of the type A + 2 B --7 P was carried out in a solution that was initially 0.075 mol dm3 in A and 0.030 mol dm3 in B. After 1.0 h the concentration of A had fallen to 0.045...
-
The following diagram represents an equilibrium mixture produced for a reaction of the type A + X AX. If the volume is 1 L, is K greater or smaller than 1?
-
The article Electrical ImpedanceVariation withWater Saturation in Rock (Q. Su, Q. Feng, and Z. Shang, Geophysics, 2000:6875) reports measurements of permeabilities (in 103m2), porosities (in...
-
Prepare a statement of profit or loss and other comprehensive income( year ending 31 march 2023) , and a statement of financial position as at 31 march 2023 for the Batliss Plc Bayliss Plc is a...
-
Refer to the situation described in Problem 19-2. Assume Pastner prepares its financial statements using International Financial Reporting Standards. Required: How might your responses to requirement...
-
Condensed profit and cash flow information follow for a recent year for three coffee companies, Tim Hortons Inc., The Second Cup Ltd., and Starbucks Corporation: Instructions (a) Compare the...
-
The following selected accounts and balances appear on the adjusted trial balance for Ray Service, Inc., on December 31, 2010: 1. What is the net income or net loss? 2. What is the change in Retained...
-
Phelps Company distributed the following dividends to its stockholders: (a) 450,000 shares of Bedrock Corporation stock, carrying value of investment, $975,000; fair market value, $1,350,000. (b)...
-
Yourdad would like to finance you tocomplete college. He agrees to lend you $12,000 on your 21st birthday when you join collegeand agrees to increase the amount lent each year by $2,000 for the next...
-
Calculate the weights of VBTLX and VFIAX that achieve a portfolio allocation that represents an "optimal risky portfolio" on the efficient frontier, as of the end of December 2015. Given these...
-
Integrate using C as the constant of integration (9x + x2 3*) dx
-
You Paid $1,119 for a corporate bond that has a 17.58 percent coupon rate. What is the Bond's current yield?
-
Behavioural finance posits that investors possess behavioural biases. Describe any three (3) of behavioural biases that you think are important to an investor to be alerted in order to make sound...
-
As innovation in the marketing communications industry continues to accelerate, it is crucial professionals know what is on trend to stay ahead of the competition. Refer to one of strategy in this...
-
Lara Williams is interested in purchasing the ordinary shares of Nillahcoote Ltd which is currently priced at $38.45. The company is now on a fast growth phase and experts its dividends to grow at a...
-
Suppose I buy a bond with a face value of $1000, thirty years to maturity, 8% coupon rate (annual coupons) at par.I hold the bond for one year and sell it immediately after the first coupon is paid...
-
Suppose two bonds have the same price and duration. If YTM changes, the price of the higher convexity bond will be _ _ _ _ _ _ _ _ the price of the lower convexity bond.
-
Chris Zulliger was a chef at the Plaza Restaurant in the Snowbird Ski Resort in Utah. The restaurant is located at the base of a mountain. As a chef for the Plaza, Zulliger was instructed by his...
-
Calculate the separation between the two lowest levels for an 02 molecule in a one-dimensional container of length 5.0 cm. At what value of n does the energy of the molecule reach -tkT at 300 K, and...
-
If you have access to mathematical software that can perform matrix diagonalization, use it to solve Problems 11.15 and 11.16, disregarding the expressions for the energies and coefficients given...
-
The following data have been obtained for the liquid-vapour equilibrium compositions of mixtures of nitrogen and oxygen at 100 kPa. T/K 77.3 78 80 82 84 86 88 90.2 X (O2) 0 10 34 54 70 82 92 100...
-
True or False. The Euler-Bernoulli beam theory is more accurate than the Timoshenko theory.
-
Find the free-vibration solution of a cord fixed at both ends when its initial conditions are given by \[w(x, 0)=0, \quad \frac{\partial w}{\partial t}(x, 0)=\frac{2 a x}{l} \quad \text { for } \quad...
-
What is the main difference in the nature of the frequency equations of a discrete system and a continuous system?
Study smarter with the SolutionInn App