10 cfm Disturbance 5.9. The liquid-level process shown in Fig. P5–9 is operating at steady state when the following disturbance occurs: At time t = 0, 1 ft water is added suddenly (unit impulse) to the tank; at t = 1 min, 2 ft of water is added suddenly to the tank. Sketch the response of the level in the T= 1 min tank versus time, and determine the level at t = 0.5, 1, and 1.5 min. R = 0.5 5.10. A tank having a cross-sectional area of 2 ft

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Please help to solve: Q5.9
Average density: 70 Ib/ft
5.9. The liquid-level process shown in Fig. P5-9
is operating at steady state when the following
disturbance occurs: At time t =
10 cfm
Disturbance
0,1 ft water
is added suddenly (unit impulse) to the tank; at
t = 1 min, 2 ft of water is added suddenly to
the tank. Sketch the response of the level in the
tank versus time, and determine the level at
T=1 min
t = 0.5, 1, and 1.5 min.
5.10. A tank having a cross-sectional area of 2 ft
and a linear resistance of R = 1 ft/cfm 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(t) and Q(s) by combining
simple functions. Note that O is the devi-
ation in flow rate.
R = 0.5
FIGURE P5-9
(b) Obtain an expression for H(t) where H is
the deviation in level.
0.
1
t (min)
(c) Determine H(t) at t = 2 and t = ∞,
FIGURE P5-10
28
Typ
(up) b
Transcribed Image Text:Average density: 70 Ib/ft 5.9. The liquid-level process shown in Fig. P5-9 is operating at steady state when the following disturbance occurs: At time t = 10 cfm Disturbance 0,1 ft water is added suddenly (unit impulse) to the tank; at t = 1 min, 2 ft of water is added suddenly to the tank. Sketch the response of the level in the tank versus time, and determine the level at T=1 min t = 0.5, 1, and 1.5 min. 5.10. A tank having a cross-sectional area of 2 ft and a linear resistance of R = 1 ft/cfm 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(t) and Q(s) by combining simple functions. Note that O is the devi- ation in flow rate. R = 0.5 FIGURE P5-9 (b) Obtain an expression for H(t) where H is the deviation in level. 0. 1 t (min) (c) Determine H(t) at t = 2 and t = ∞, FIGURE P5-10 28 Typ (up) b
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