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A stirred-tank blending system initially is full of water and is being fed pure water at a constant flow rate, q. At a particular time, an operator adds caustic solution at the volumetric but concentration cj. If the liquid volume V is constant, the dynamic model for this flowrate process is: dc V + gc = qc{ dt with c(t = 0) = 0. a. What is the concentration response of the reactor effluent stream, c(t)? b. Sketch it as a function of time. Use the following data: V= 2 m³, q = 0.4 m³/min, c; = 50 kg/m³

A stirred-tank blending system initially is full of water and is being fed pure water at a constant flow rate, q. At a particular time, an operator adds caustic solution at the volumetric but concentration cj. If the liquid volume V is constant, the dynamic model for this flowrate process is: dc V + gc = qc{ dt with c(t = 0) = 0. a. What is the concentration response of the reactor effluent stream, c(t)? b. Sketch it as a function of time. Use the following data: V= 2 m³, q = 0.4 m³/min, c; = 50 kg/m³

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A stirred-tank blending system initially is full of water and is being fed pure water at a constant flow rate, q. At a particular time, an operator adds caustic solution at the volumetric but concentration cj. If the liquid volume V is constant, the dynamic model for this flowrate process is: dc V + gc = qc{ dt with c(t = 0) = 0. a. What is the concentration response of the reactor effluent stream, c(t)? b. Sketch it as a function of time. Use the following data: V= 2 m³, q = 0.4 m³/min, c; = 50 kg/m³
Transcribed Image Text:A stirred-tank blending system initially is full of water and is being fed pure water at a constant flow rate, q. At a particular time, an operator adds caustic solution at the volumetric but concentration cj. If the liquid volume V is constant, the dynamic model for this flowrate process is: dc V + gc = qc{ dt with c(t = 0) = 0. a. What is the concentration response of the reactor effluent stream, c(t)? b. Sketch it as a function of time. Use the following data: V= 2 m³, q = 0.4 m³/min, c; = 50 kg/m³
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