Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 28, Problem 5P
Seawater with a concentration of 8000 g/m3 is pumped into awell-mixed tank at a rate of 0.6 m3/hr. Because of faulty designwork, water is evaporating from the tank at a rate of 0.025 m3/hr. The salt solution leaves the tank at a rate of 0.6 m3/hr.
(a )If the tank originally contains 1 m3 of the inlet solution, howlong after the outlet pump is turned on will the tank run dry?
(b ) Use numerical methods to determine the salt concentration in the tank as a function of time.
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Question
Liquid of sp.gr and u is in a closed tank with air at pressure measured by a manometer of R
reading. It is required to flow this liquid through a piping system connected to a tank as shown in
Fig. with a flowrate Q. Is this liquid capable to flow to the end of this system? or it is required a
pump? If it required a pump what power must supply to the pump if its efficiency is 1=0.6?
Case -1-
(Le/d)E (Le/d)v
(hr)LEx.
(m)
R
LI
po
L2
(m) (cm) (mm)
140
sp.gr.
Z1
d
(poise) (m)
0.032
Case -2-
(m) (m)
38
(m)
(/min)
190
(kPa)
100.62
0.85
2.5
22
15
0.125
60
200
3.5
(Le/d)e (Le/d)y
(hr)LEx.
(m)
R
Z1
LI
L2
d
Q
(I/min)
sp-gr.
po
(poise) (m) (m) (m) (m) (m) (cm) (mm)
(kPa)
0.85
0.032
1.5
22
38
15
140
5
0.125
60
200
190
100.62
3.5
Н.Ех.
R
Air
?
Z1
Liquid
Hg
Chapter 28 Solutions
Numerical Methods for Engineers
Ch. 28 - 8.1 Perform the first computation in Sec. 28.1,...Ch. 28 - 28.2 Perform the second computation in Sec. 28.1,...Ch. 28 - A mass balance for a chemical in a completely...Ch. 28 - 28.4 If, calculate the outflow concentration of a...Ch. 28 - 28.5 Seawater with a concentration of 8000 g/m3...Ch. 28 - 28.6 A spherical ice cube (an “ice sphere”) that...Ch. 28 - The following equations define the concentrations...Ch. 28 - 28.8 Compound A diffuses through a 4-cm-long tube...Ch. 28 - In the investigation of a homicide or accidental...Ch. 28 - The reaction AB takes place in two reactors in...
Ch. 28 - An on is other malbatchre actor can be described...Ch. 28 - The following system is a classic example of stiff...Ch. 28 - 28.13 A biofilm with a thickness grows on the...Ch. 28 - 28.14 The following differential equation...Ch. 28 - Prob. 15PCh. 28 - 28.16 Bacteria growing in a batch reactor utilize...Ch. 28 - 28.17 Perform the same computation for the...Ch. 28 - Perform the same computation for the Lorenz...Ch. 28 - The following equation can be used to model the...Ch. 28 - Perform the same computation as in Prob. 28.19,...Ch. 28 - 28.21 An environmental engineer is interested in...Ch. 28 - 28.22 Population-growth dynamics are important in...Ch. 28 - 28.23 Although the model in Prob. 28.22 works...Ch. 28 - 28.25 A cable is hanging from two supports at A...Ch. 28 - 28.26 The basic differential equation of the...Ch. 28 - 28.27 The basic differential equation of the...Ch. 28 - A pond drains through a pipe, as shown in Fig....Ch. 28 - 28.29 Engineers and scientists use mass-spring...Ch. 28 - Under a number of simplifying assumptions, the...Ch. 28 - 28.31 In Prob. 28.30, a linearized groundwater...Ch. 28 - The Lotka-Volterra equations described in Sec....Ch. 28 - The growth of floating, unicellular algae below a...Ch. 28 - 28.34 The following ODEs have been proposed as a...Ch. 28 - 28.35 Perform the same computation as in the first...Ch. 28 - Solve the ODE in the first part of Sec. 8.3 from...Ch. 28 - 28.37 For a simple RL circuit, Kirchhoff’s voltage...Ch. 28 - In contrast to Prob. 28.37, real resistors may not...Ch. 28 - 28.39 Develop an eigenvalue problem for an LC...Ch. 28 - 28.40 Just as Fourier’s law and the heat balance...Ch. 28 - 28.41 Perform the same computation as in Sec....Ch. 28 - 28.42 The rate of cooling of a body can be...Ch. 28 - The rate of heat flow (conduction) between two...Ch. 28 - Repeat the falling parachutist problem (Example...Ch. 28 - 28.45 Suppose that, after falling for 13 s, the...Ch. 28 - 28.46 The following ordinary differential equation...Ch. 28 - 28.47 A forced damped spring-mass system (Fig....Ch. 28 - 28.48 The temperature distribution in a tapered...Ch. 28 - 28.49 The dynamics of a forced spring-mass-damper...Ch. 28 - The differential equation for the velocity of a...Ch. 28 - 28.51 Two masses are attached to a wall by linear...
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