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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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For the liquid storage system shown in Fig. , it is desired to control liquid levels h₁ and h₂ by adjusting volumet-ric flow rates q₁ and q₂. Flow rate q₆ is the major disturbancevariable. The flow-head relations are given by q₃=Cᵥ₁√h₁, q₅=Cᵥ₂√h₂ q₄=K(h₁−h₂)where Cᵥ₁,Cᵥ₂ and K are constants.(a)Derive an expression for the relative gain array for thissystem.(b)Use the RGA to determine the recommended pairingof controlled and manipulated variables for the followingconditions:Parameter Values K=3 gal∕min ft ,Cᵥ₁=3 gal∕min ft0.5 ,Cv₂=3.46 gal∕min ft0.5 D₁=D₂=3.5ft (tank diameters)Nominal Steady-State Values h₁=4ft,h₂=3ft

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