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1. A dilute aqueous solution of H,SO4 (Solution A) is to be mixed with a solution containing 90.0 wt% H2SO4 (Solution B) to produce a 75.0 wt% solution (Solution C). Solution A Flowmeter A Analyzer Solution C 75% H,SO, Solution B 90% H,SO, Flowmeter B MIXER The flow rate and concentration of Solution A change periodically, so that it is necessary to adjust the flow rate of Solution B to keep the product H2SO4 concentration constant. Flowmeters A and B have linear calibration plots of mass flow rate (m) versus meter reading (R), which pass through the following points: Flowmeter A: ma = 150 lbm/h, RA = 25 mA = 500 lb,/h, RA = 70 Flowmeter B: mg = 200 lbm/h, Rg = 20 mg = 800 lbm/h, Rg = 60 The analyzer calibration is a straight line on a semilog plot of %H2SO4(x) on a logarithmic scale versus meter reading (R,) on a linear scale. The line passes through the points (x = 20%, Rỵ = 4.0) and (x = 100%, R, = 10.0). (a) Calculate the flow rate of Solution B needed to process 300 lb/h of 55% H2SO4 (Solution A), and the resulting flow rate of Solution C. (The calibration data are not needed for this part.) (b) Derive the calibration equations for ma(RA), ṁB(RB), and x(R,). Calculate the values of RA, RB, and R; corresponding to the flow rates and concentrations of Part (a). (c) The process technician's job is to read Flowmeter A and the analyzer periodically, and then to adjust the flow rate of Solution B to its required value. Derive a formula that the technician can use for Rg in terms of RẠ and Ry, and then check it by substituting the values of Part (a).

1. A dilute aqueous solution of H,SO4 (Solution A) is to be mixed with a solution containing 90.0 wt% H2SO4 (Solution B) to produce a 75.0 wt% solution (Solution C). Solution A Flowmeter A Analyzer Solution C 75% H,SO, Solution B 90% H,SO, Flowmeter B MIXER The flow rate and concentration of Solution A change periodically, so that it is necessary to adjust the flow rate of Solution B to keep the product H2SO4 concentration constant. Flowmeters A and B have linear calibration plots of mass flow rate (m) versus meter reading (R), which pass through the following points: Flowmeter A: ma = 150 lbm/h, RA = 25 mA = 500 lb,/h, RA = 70 Flowmeter B: mg = 200 lbm/h, Rg = 20 mg = 800 lbm/h, Rg = 60 The analyzer calibration is a straight line on a semilog plot of %H2SO4(x) on a logarithmic scale versus meter reading (R,) on a linear scale. The line passes through the points (x = 20%, Rỵ = 4.0) and (x = 100%, R, = 10.0). (a) Calculate the flow rate of Solution B needed to process 300 lb/h of 55% H2SO4 (Solution A), and the resulting flow rate of Solution C. (The calibration data are not needed for this part.) (b) Derive the calibration equations for ma(RA), ṁB(RB), and x(R,). Calculate the values of RA, RB, and R; corresponding to the flow rates and concentrations of Part (a). (c) The process technician's job is to read Flowmeter A and the analyzer periodically, and then to adjust the flow rate of Solution B to its required value. Derive a formula that the technician can use for Rg in terms of RẠ and Ry, and then check it by substituting the values of Part (a).

Introduction to Chemical Engineering Thermodynamics
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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1. A dilute aqueous solution of H,SO4 (Solution A) is to be mixed with a solution containing 90.0 wt% H2SO4 (Solution B) to produce a 75.0 wt% solution (Solution C). Solution A Flowmeter A Analyzer Solution C 75% H,SO, Solution B 90% H,SO, Flowmeter B MIXER The flow rate and concentration of Solution A change periodically, so that it is necessary to adjust the flow rate of Solution B to keep the product H2SO4 concentration constant. Flowmeters A and B have linear calibration plots of mass flow rate (m) versus meter reading (R), which pass through the following points: Flowmeter A: ma = 150 lbm/h, RA = 25 mA = 500 lb,/h, RA = 70 Flowmeter B: mg = 200 lbm/h, Rg = 20 mg = 800 lbm/h, Rg = 60 The analyzer calibration is a straight line on a semilog plot of %H2SO4(x) on a logarithmic scale versus meter reading (R,) on a linear scale. The line passes through the points (x = 20%, Rỵ = 4.0) and (x = 100%, R, = 10.0). (a) Calculate the flow rate of Solution B needed to process 300 lb/h of 55% H2SO4 (Solution A), and the resulting flow rate of Solution C. (The calibration data are not needed for this part.) (b) Derive the calibration equations for ma(RA), ṁB(RB), and x(R,). Calculate the values of RA, RB, and R; corresponding to the flow rates and concentrations of Part (a). (c) The process technician's job is to read Flowmeter A and the analyzer periodically, and then to adjust the flow rate of Solution B to its required value. Derive a formula that the technician can use for Rg in terms of RẠ and Ry, and then check it by substituting the values of Part (a).
Transcribed Image Text:1. A dilute aqueous solution of H,SO4 (Solution A) is to be mixed with a solution containing 90.0 wt% H2SO4 (Solution B) to produce a 75.0 wt% solution (Solution C). Solution A Flowmeter A Analyzer Solution C 75% H,SO, Solution B 90% H,SO, Flowmeter B MIXER The flow rate and concentration of Solution A change periodically, so that it is necessary to adjust the flow rate of Solution B to keep the product H2SO4 concentration constant. Flowmeters A and B have linear calibration plots of mass flow rate (m) versus meter reading (R), which pass through the following points: Flowmeter A: ma = 150 lbm/h, RA = 25 mA = 500 lb,/h, RA = 70 Flowmeter B: mg = 200 lbm/h, Rg = 20 mg = 800 lbm/h, Rg = 60 The analyzer calibration is a straight line on a semilog plot of %H2SO4(x) on a logarithmic scale versus meter reading (R,) on a linear scale. The line passes through the points (x = 20%, Rỵ = 4.0) and (x = 100%, R, = 10.0). (a) Calculate the flow rate of Solution B needed to process 300 lb/h of 55% H2SO4 (Solution A), and the resulting flow rate of Solution C. (The calibration data are not needed for this part.) (b) Derive the calibration equations for ma(RA), ṁB(RB), and x(R,). Calculate the values of RA, RB, and R; corresponding to the flow rates and concentrations of Part (a). (c) The process technician's job is to read Flowmeter A and the analyzer periodically, and then to adjust the flow rate of Solution B to its required value. Derive a formula that the technician can use for Rg in terms of RẠ and Ry, and then check it by substituting the values of Part (a).
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