- The SO, scrubbing tower described in Problem 4.36 is to bc used to reducc the SO, mole fraction in the waste gas to a level that meets air-quality standards. The solvent feed rate must be large enough to keep the SO, mass fraction in the exit liquid below a spccified maximum valuc. (a) Draw and label a flowchart of the tower. Along with the molar flow rates and SO2 mole fractions of the four process streams, label the feed gas temperature and pressure [T,('F), P1(psig)], the feed gas orifice meter reading [h,(mm)], the SO, analyzer reading for the feed gas (R1), the volumetric feed rate of solvent to the column [V2(m³/min)], and the SO2 analyzer reading for the exit gas (R3). (The temperature and pressure units are taken from the calibration curves for the gauges used to measure these variables.) (b) Derive a series of equations relating all of the labeled variables on the flowchart. The equations should include the calibration formulas calculated in Part (b) of Problem 4.36. Determine the number of degrees of freedom for the process system. In the remainder of the problem, you will be given values of measured feed gas stream variables [T,(°F), P (psig), h,(mm), and R1], the maximum allowed SO, mole fraction in the exit solution [x4], and the specified SO2 mole fraction in the exit gas (y3), and asked to calculate the expected SO, analyzer reading for the exit gas (R3) and the minimum volumetric flow rate of solvent (V2). Part (c) involves using a spreadsheet for the calculation, and Part (d) calls for an independent calculation using an equation-solving program. (c) Create a spreadsheet to store input values of T1, P1, h1, R1, X4, and y3 and to calculate R3 and V2. In the first five rows, insert the values T1 = 75, P1 = 150, hị = 210, R1 = 82.4, x4 = 010, and y3 = 0.05,0.025, 0.01,0.005, and 0.001. In the next five rows, insert the same input values except make x4 = 0.02. On a single graph, draw plots of V2 versus y3 for each of the two given values of x, (preferably using the spreadsheet program to generate the graph). Briefly explain the shape of the curves and their position relative to each other. (d) Enter the equations of Part (b) into an equation-solving program. Use the program to calculate R3 and V2 corresponding to T = 75, P, = 150, hị = 210, R¡ = 82.4, x4 = 0.10, and y3 = 0.05,0.025, 0.01, 0.005, and 0.001, and then T1 = 75, P1 = 150, hị = 210, Rị = 82.4, x4 = 0.02, and y3 0.05, 0.025, 0.01, 0.005, and 0.001. If you did not already do so in Part (c), draw on a single graph plots of V2 versus y, for each of the two given values of x4 and briefly explain the shape of the curves and their position relative to each other.

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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Question
- The SO, scrubbing tower described in Problem 4.36 is to bc used to reducc the SO, mole fraction in the
waste gas to a level that meets air-quality standards. The solvent feed rate must be large enough to keep
the SO, mass fraction in the exit liquid below a spccified maximum valuc.
(a) Draw and label a flowchart of the tower. Along with the molar flow rates and SO2 mole fractions of
the four process streams, label the feed gas temperature and pressure [T,('F), P1(psig)], the feed gas
orifice meter reading [h,(mm)], the SO, analyzer reading for the feed gas (R1), the volumetric feed
rate of solvent to the column [V2(m³/min)], and the SO2 analyzer reading for the exit gas (R3). (The
temperature and pressure units are taken from the calibration curves for the gauges used to measure
these variables.)
(b) Derive a series of equations relating all of the labeled variables on the flowchart. The equations
should include the calibration formulas calculated in Part (b) of Problem 4.36. Determine the
number of degrees of freedom for the process system.
In the remainder of the problem, you will be given values of measured feed gas stream
variables [T,(°F), P (psig), h,(mm), and R1], the maximum allowed SO, mole fraction in the exit
solution [x4], and the specified SO2 mole fraction in the exit gas (y3), and asked to calculate the
expected SO, analyzer reading for the exit gas (R3) and the minimum volumetric flow rate of
solvent (V2). Part (c) involves using a spreadsheet for the calculation, and Part (d) calls for an
independent calculation using an equation-solving program.
(c) Create a spreadsheet to store input values of T1, P1, h1, R1, X4, and y3 and to calculate R3 and V2. In
the first five rows, insert the values T1 = 75, P1 = 150, hị = 210, R1 = 82.4, x4 = 010, and
y3 = 0.05,0.025, 0.01,0.005, and 0.001. In the next five rows, insert the same input values except
make x4 = 0.02. On a single graph, draw plots of V2 versus y3 for each of the two given values of x,
(preferably using the spreadsheet program to generate the graph). Briefly explain the shape of the
curves and their position relative to each other.
(d) Enter the equations of Part (b) into an equation-solving program. Use the program to calculate R3
and V2 corresponding to T = 75, P, = 150, hị = 210, R¡ = 82.4, x4 = 0.10, and y3 = 0.05,0.025,
0.01, 0.005, and 0.001, and then T1 = 75, P1 = 150, hị = 210, Rị = 82.4, x4 = 0.02, and y3
0.05, 0.025, 0.01, 0.005, and 0.001. If you did not already do so in Part (c), draw on a single graph
plots of V2 versus y, for each of the two given values of x4 and briefly explain the shape of the curves
and their position relative to each other.
Transcribed Image Text:- The SO, scrubbing tower described in Problem 4.36 is to bc used to reducc the SO, mole fraction in the waste gas to a level that meets air-quality standards. The solvent feed rate must be large enough to keep the SO, mass fraction in the exit liquid below a spccified maximum valuc. (a) Draw and label a flowchart of the tower. Along with the molar flow rates and SO2 mole fractions of the four process streams, label the feed gas temperature and pressure [T,('F), P1(psig)], the feed gas orifice meter reading [h,(mm)], the SO, analyzer reading for the feed gas (R1), the volumetric feed rate of solvent to the column [V2(m³/min)], and the SO2 analyzer reading for the exit gas (R3). (The temperature and pressure units are taken from the calibration curves for the gauges used to measure these variables.) (b) Derive a series of equations relating all of the labeled variables on the flowchart. The equations should include the calibration formulas calculated in Part (b) of Problem 4.36. Determine the number of degrees of freedom for the process system. In the remainder of the problem, you will be given values of measured feed gas stream variables [T,(°F), P (psig), h,(mm), and R1], the maximum allowed SO, mole fraction in the exit solution [x4], and the specified SO2 mole fraction in the exit gas (y3), and asked to calculate the expected SO, analyzer reading for the exit gas (R3) and the minimum volumetric flow rate of solvent (V2). Part (c) involves using a spreadsheet for the calculation, and Part (d) calls for an independent calculation using an equation-solving program. (c) Create a spreadsheet to store input values of T1, P1, h1, R1, X4, and y3 and to calculate R3 and V2. In the first five rows, insert the values T1 = 75, P1 = 150, hị = 210, R1 = 82.4, x4 = 010, and y3 = 0.05,0.025, 0.01,0.005, and 0.001. In the next five rows, insert the same input values except make x4 = 0.02. On a single graph, draw plots of V2 versus y3 for each of the two given values of x, (preferably using the spreadsheet program to generate the graph). Briefly explain the shape of the curves and their position relative to each other. (d) Enter the equations of Part (b) into an equation-solving program. Use the program to calculate R3 and V2 corresponding to T = 75, P, = 150, hị = 210, R¡ = 82.4, x4 = 0.10, and y3 = 0.05,0.025, 0.01, 0.005, and 0.001, and then T1 = 75, P1 = 150, hị = 210, Rị = 82.4, x4 = 0.02, and y3 0.05, 0.025, 0.01, 0.005, and 0.001. If you did not already do so in Part (c), draw on a single graph plots of V2 versus y, for each of the two given values of x4 and briefly explain the shape of the curves and their position relative to each other.
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