Elementary Principles of Chemical Processes, Binder Ready Version
4th Edition
ISBN: 9781118431221
Author: Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher: WILEY

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Textbook Question
Chapter 4, Problem 4.31P

A dilute aqueous solution of H2SO4 (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).

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 (/?),

 which pass through the following points: Flowmeter A: mA = 150 lbn,/h, wa = 500 lbm/h. «a = 25 «a = 70 Flowmeter B: riiB = 200 lbm/h, mB= 800 lbm/h. Rb = 20 /?B = 60

The analyzer calibration is a straight line on a semilog plot of %H2SO4(x) on a logarithmic scale versus meter reading (/?,) on a linear scale. The line passes through the points (x = 20%, Rx= 4.0) and (x = 100%./?, = 10.0).

1. Calculate the flow' rate of Solution B needed to process 300 lbm/h of 55% H2SO4 (Solution A), and the resulting flow rate of Solution C. (The calibration data are not needed for this part.)
2. Derive the calibration equations for /ha(#a). «ib(^b), andx(/?v). Calculate the values of R\, Ru, and Rxcorresponding to the flow rates and concentrations of Part (a).
3. 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 Rbin terms of RAand Rx, and then check it by substituting the values of Part (a).

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