1. A tank having a cross-sectional area of 2 ft and a linear resistance of R= 1 fucfm is operating at steady state with a flow rate of 1 cfm. At time 0, the flow varies as shown in Fig. P5-10. (a) Determine Q(1) and Q(s) by combining simple functions. Note that Q is the devi- ation in flow rate. 0. 1 2 3 t (min) (b) Obtain an expression for H(t) where H is the deviation in level. (c) Determine H(t) at t = 2 andt = 0. FIGURE P5-10 %3D 9 (cfm)

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
1.
A tank having a cross-sectional area of 2 ft
and a linear resistance of R = 1 fucfm is
operating at steady state with a flow rate of
I cfm. At time 0, the flow varies as shown in
Fig. P5-10.
(a) Determine Q(1) and Q(s) by combining
simple functions. Note that Q is the devi-
ation in flow rate.
1
2
3
t (min)
(b) Obtain an expression for H(t) where H is
the deviation in level.
(c) Determine H(t) at t = 2 and t = .
FIGURE P5-10
2.
q femin
A = 2 fr
Derive the transfer function H/Q for the
liquid-level system shown in Fig. P5-12.
The resistances are linear; H and Q are
deviation variables. Show clearly how
you derived the transfer function. You are
expected to give numerical values in the
R, = 2 fucfm
R2 = 5 fucfm
transfer function.
FIGURE P5-12
q (cfm)
2.
Transcribed Image Text:1. A tank having a cross-sectional area of 2 ft and a linear resistance of R = 1 fucfm is operating at steady state with a flow rate of I cfm. At time 0, the flow varies as shown in Fig. P5-10. (a) Determine Q(1) and Q(s) by combining simple functions. Note that Q is the devi- ation in flow rate. 1 2 3 t (min) (b) Obtain an expression for H(t) where H is the deviation in level. (c) Determine H(t) at t = 2 and t = . FIGURE P5-10 2. q femin A = 2 fr Derive the transfer function H/Q for the liquid-level system shown in Fig. P5-12. The resistances are linear; H and Q are deviation variables. Show clearly how you derived the transfer function. You are expected to give numerical values in the R, = 2 fucfm R2 = 5 fucfm transfer function. FIGURE P5-12 q (cfm) 2.
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