The problem that is listed below need to be solved and you may access that problem via viewing them through the attached images in this request. **Question Number #2.42** 2.42. WP The temperature in a process unit is controlled by passing cooling water at a measured rate through a jacket thatencloses the unit.Cooling waterPROCESSUNITROTAMETERp(liters/s)T(°C)JacketThe exact relationship between the unit temperature T(°C) and the water flow rate o (L/s) is extremely complex, and it is desiredto derive a simple empirical formula to approximate this relationship over a limited range of flow rates and temperatures. Data aretaken for T versus ø. Plots of T versus ø on rectangular and semilog coordinates are distinctly curved (ruling out T = aø + b andT = aebó as possible empirical functions), but a log plot appears as follows:300T(°C) 20010010100p(L/s)A line drawn through the data goes through the points (ø1 = 25 L/s, T = 210°C) and (ø2 = 40 L/s, T, = 120°C).a. What is the empirical relationship between o and T?Answerb. Using your derived equation, estimate the cooling water flow rates needed to maintain the process unit temperature at 85°C,175°C, and 290°C.c. In which of the three estimates in Part (b) would you have the most confidence and in which would you have the leastconfidence? Explain your reasoning.

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Answered: 2.42. WP The temperature in a process…

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

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The problem that is listed below need to be solved and you may access that problem via viewing them through the attached images in this request. **Question Number #2.42**

2.42. WP The temperature in a process unit is controlled by passing cooling water at a measured rate through a jacket that
encloses the unit.
Cooling water
PROCESS
UNIT
ROTAMETER
p(liters/s)
T(°C)
Jacket
The exact relationship between the unit temperature T(°C) and the water flow rate o (L/s) is extremely complex, and it is desired
to derive a simple empirical formula to approximate this relationship over a limited range of flow rates and temperatures. Data are
taken for T versus ø. Plots of T versus ø on rectangular and semilog coordinates are distinctly curved (ruling out T = aø + b and
T = aebó as possible empirical functions), but a log plot appears as follows:
300
T(°C) 200
100
10
100
p(L/s)
A line drawn through the data goes through the points (ø1 = 25 L/s, T = 210°C) and (ø2 = 40 L/s, T, = 120°C).
a. What is the empirical relationship between o and T?
Answer
b. Using your derived equation, estimate the cooling water flow rates needed to maintain the process unit temperature at 85°C,
175°C, and 290°C.
c. In which of the three estimates in Part (b) would you have the most confidence and in which would you have the least
confidence? Explain your reasoning.

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