Problem 3. Consider the elementary irreversible gas-phase catalytic reaction, A + B C + D. This reaction is to be carried out in a moving-bed reactor at constant temperature (note: moving-bed reactors are catalytic reactors in which the catalyst moves through the reactor along with the reactants; they can be modeled like a PBR). The reactor contains 5 kg of catalyst. The feed is stoichiometric in A and B. The entering concentration of A is 0.2 mol dm³. The catalyst decay law is zero order with kp = 0.2 s¹ and k = 1.0 dm/(mol kg cat - s). The volumetric flow rate is v, 1 dm³/s. Under these conditions, answer the following questions: (a) What conversion will be achieved for a catalyst feed rate of 0.5 kg/s? [Hint: the weight of catalyst W in the reactor is equal to the catalyst feed rate Us multiplied by the time t] (b) What is the maximum conversion that could be achieved (i.e., at infinite catalyst loading rate)? (c) What catalyst loading rate is necessary to achieve 40% conversion?

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:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Problem 3. Consider the elementary irreversible gas-phase catalytic reaction, A + B C + D. This
reaction is to be carried out in a moving-bed reactor at constant temperature (note: moving-bed reactors are
catalytic reactors in which the catalyst moves through the reactor along with the reactants; they can be
modeled like a PBR). The reactor contains 5 kg of catalyst. The feed is stoichiometric in A and B. The
entering concentration of A is 0.2 mol dm²³. The catalyst decay law is zero order with kp = 0.2 s²¹ and k =
1.0 dm/(mol – kg cat - s). The volumetric flow rate is v₁ = 1 dm³/s. Under these conditions, answer the
following questions:
(a) What conversion will be achieved for a catalyst feed rate of 0.5 kg/s? [Hint: the weight of catalyst
W in the reactor is equal to the catalyst feed rate Us multiplied by the time t]
(b) What is the maximum conversion that could be achieved (i.e., at infinite catalyst loading rate)?
(c) What catalyst loading rate is necessary to achieve 40% conversion?
Transcribed Image Text:Problem 3. Consider the elementary irreversible gas-phase catalytic reaction, A + B C + D. This reaction is to be carried out in a moving-bed reactor at constant temperature (note: moving-bed reactors are catalytic reactors in which the catalyst moves through the reactor along with the reactants; they can be modeled like a PBR). The reactor contains 5 kg of catalyst. The feed is stoichiometric in A and B. The entering concentration of A is 0.2 mol dm²³. The catalyst decay law is zero order with kp = 0.2 s²¹ and k = 1.0 dm/(mol – kg cat - s). The volumetric flow rate is v₁ = 1 dm³/s. Under these conditions, answer the following questions: (a) What conversion will be achieved for a catalyst feed rate of 0.5 kg/s? [Hint: the weight of catalyst W in the reactor is equal to the catalyst feed rate Us multiplied by the time t] (b) What is the maximum conversion that could be achieved (i.e., at infinite catalyst loading rate)? (c) What catalyst loading rate is necessary to achieve 40% conversion?
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