Answered step by step
Verified Expert Solution
Question
1 Approved Answer
please solve this problem in detail and explain how did you do it a m 1. The Figure presented below shows a steady state process
please solve this problem in detail and explain how did you do it
a m 1. The Figure presented below shows a steady state process in which a gel matrix (film) of thickness is attached to a catalytic surface. At the top edge of the film, a liquid is flowing that contains component A at a bulk concentration of Cand convective mass transfer coefficient k Component 4 is only sparingly soluble in the gel, which we will call component B. At the bottom surface, the catalyst enables the reaction A+C with reaction rate -r"=k"C, where is the concentration of A at the catalyst surface and k is the reaction constant. The diffusivity of A in the gel matrix is Das, and the partition coefficient for A between the top liquid and the gel matrix, from thermodynamics, is K. In other words, when this particular gel is in equilibrium with the particular liquid flowing above it, their concentrations will be related to one another as: = KChael We want to analyze the problem to find the rate of production of C. Moving fluid with Comandk Gel Matrix Catalytic Surface a. State your assumptions for solving this problem. b. Write the simplified governing differential equation that describes the concentration profile of A in the gel matrix, and specify the relevant Boundary Conditions c. Find the concentration profile of A in the gel matrix (how concentration of A varies with position within the film). d. If the surface area of the gel in contact with the top fluid (or with the catalyst) is A., find the rate of production of C in this system. e. Based on the expression you derived in part e, how will the concentration profile change if the reaction is extremely fast? f. You probably recall that when a surface reaction is extremely fast, we can write another (arguably simpler) BC at the catalytic surface. Show that you would get the same result as parte if you solved the fast-reaction version of the problem with this simpler BC (you should go back to the step where you write and apply the BCs, and solve the problem again with that step being different). g. What lessons did you learn from this problem, in the context of BCS? a m 1. The Figure presented below shows a steady state process in which a gel matrix (film) of thickness is attached to a catalytic surface. At the top edge of the film, a liquid is flowing that contains component A at a bulk concentration of Cand convective mass transfer coefficient k Component 4 is only sparingly soluble in the gel, which we will call component B. At the bottom surface, the catalyst enables the reaction A+C with reaction rate -r"=k"C, where is the concentration of A at the catalyst surface and k is the reaction constant. The diffusivity of A in the gel matrix is Das, and the partition coefficient for A between the top liquid and the gel matrix, from thermodynamics, is K. In other words, when this particular gel is in equilibrium with the particular liquid flowing above it, their concentrations will be related to one another as: = KChael We want to analyze the problem to find the rate of production of C. Moving fluid with Comandk Gel Matrix Catalytic Surface a. State your assumptions for solving this problem. b. Write the simplified governing differential equation that describes the concentration profile of A in the gel matrix, and specify the relevant Boundary Conditions c. Find the concentration profile of A in the gel matrix (how concentration of A varies with position within the film). d. If the surface area of the gel in contact with the top fluid (or with the catalyst) is A., find the rate of production of C in this system. e. Based on the expression you derived in part e, how will the concentration profile change if the reaction is extremely fast? f. You probably recall that when a surface reaction is extremely fast, we can write another (arguably simpler) BC at the catalytic surface. Show that you would get the same result as parte if you solved the fast-reaction version of the problem with this simpler BC (you should go back to the step where you write and apply the BCs, and solve the problem again with that step being different). g. What lessons did you learn from this problem, in the context of BCS Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started