1.(a) Find the transfer functions HylQ and Hy/Q for the three-tank system shown in Fig. P6-4where Hz, Hy, and Q are deviation variables. Tank 1 and tank 2 are interacting.(b) For a unit-step change in q (that is, Q = 1/s), determine Hg(0) and Ha(), and sketchH3(1) versus t.R =2Rg =2Tank 1Tank 2Az=0.5Ry=4Tank 32.In the two-tank mixing process shown in Fig. P6-6, x varies from 0 lb salun' to 1 Ib saltunaccording to a step function. At what time does the salt concentration in tank 2 reach0.6 lb salufn? The holdup volume of each tank is 6 f°.3 f/minTank 1Tank 2FIGURE P6-6

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Answered: 1. (a) Find the transfer functions HyQ…

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

Section: Chapter Questions

Problem 1.1P

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Please do a,b,c
Draw (a) and (b) dynamic response.
A chemical process has the following model equation: dy/dt=u_1(u_2+2e^u_3), where y is the output variable and u_1. u_2, u_3 are input variables. Find the transfer function model for the process.
4.4 Consider the transfer function model in Exercise 4.2. For an initial condition of y(0) =4 and a step change in u of mag- nitude 2 (at t =0), calculate the response, y(t). Hint: First determine the corresponding differential equation model.
MULTIPLE CHOICE -The answer is one of the options below please solve carefully and circle the correct option Please write clear .
You are using proportional control (G꜀=K꜀)for a pro-cess with Gᵥ=4/(2s+1) and Gₚ=0.6/(50s+1) (time constants in s).You have a choice of two measurements, both of which exhibit first-order dynamic behavior,Gₘ₁=2/(s+1) or Gm₂=2/(0.4s+1).Can G꜀ be made unstable for either process?Which measurement is preferred for the best stability and per-formance properties? Why?
.19 A liquid storage facility can be modeled by where y is the liquid level (m) and u is an inlet flow rate (m*/s) Both are defined as deviations from the nominal steady-state values. Thus, y-u0 at the nominal steady state. Also, the initial values of all the derivatives are zero. (a) If u(t) suddenly changes from 0 to 1 m/s at 0, deter- mine the liquid level response, y(). (b) If the tank height is 2.5 m, will the tank overflow? (c) Based on your results for (b), what is the maximum flow change, umax, that can occur without the tank overflowing? (Hint: Consider the Principle of Superposition.)
Example 2: Draw the Bode plot of the unity feedback system with forward gain as G(s) = 40 (8+2)(8+5) Also determine the gain margin, phase margin and comment on the stability of the system.
6.7. Starting from first principles, derive the transfer functions H₁ (s)/Q(s) and H₂(s)/Q(s) for the liquid-level system shown in Fig. P6-7. The resistances are linear and R₁ = R₂ = 1. Note that two streams are flowing from tank 1, one of which flows into tank 2. You are expected to give numerical values of the parameters in the transfer functions and to show clearly how you derived the transfer functions. 9(1) 4₂=2 ft² h₂ R₁ = 1 Tank 1 4₂=1 ft² h₂ R₂ = 2 R₂ = 1
4.14 Acetaldehyde is oxidized over silica gel with the help of air. The mixture is passed over that catalyst at 387 K (114°C). The outgoing dry gases are found to contain 4.85% CO2, 8.65% acetaldehyde, 14.9% acetic acid, 2.55% Oz and 69.05% N, by volume (on dry basis). For carrying out dry analysis, water was first removed from the mixture. During the water removal, some acetic acid is also condensed. Calculate: (a) the percentage conversion of acetaldehyde, (b) the percentage yield of acetic acid, (c) mass ratio of air to acetaldehyde in incoming feed, (d) the percentage removal of acetic acid during the removal of water, and (e) that actual analysis of the gases leaving the reactor.
) Develop a 1-dimensional nonlinear state space model of the system and iden- tify the process state. i) If v;, is considered the disturbance input and p, is the manipulated variable, Vin caleulate the linearized model ef the process. Assume nominal values of o5eP = 1 m /min and psoP =0,01 m* /(min k g/2). 6ant in
Q1: Find the transfer functions H₂/Q and H3/Q for the three-tank system shown in Fig. (1), where H₁, H3 and Q are deviation variables. Tank 1 and Tank 2 are interacting. Tank 1 R₁-2 4= 1 Tank 2 R₂-2 Fig.(1) Ag= 0.3 Tank 3

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