Fundamentals of Engineering Thermodynamics
8th Edition
ISBN: 9781118412930
Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey
Publisher: WILEY
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Chapter 5.11, Problem 20CU
To determine
The relation between coefficient of performance of a reversible refrigeration cycle and of an irreversible refrigeration cycle.
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100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 5 Solutions
Fundamentals of Engineering Thermodynamics
Ch. 5.11 - Prob. 1ECh. 5.11 - 2. Are health risks associated with consuming...Ch. 5.11 - Prob. 3ECh. 5.11 - Prob. 4ECh. 5.11 - Prob. 5ECh. 5.11 - 6. Does the second law impose performance limits...Ch. 5.11 - Prob. 7ECh. 5.11 - 8. What is delaying the appearance in new car...Ch. 5.11 - Prob. 9ECh. 5.11 - 10. How significant is the roughness at a pipe’s...
Ch. 5.11 - Prob. 11ECh. 5.11 - 12. What factors influence the actual coefficient...Ch. 5.11 - Prob. 13ECh. 5.11 - 14. How does the thermal glider (Sec. 5.4) sustain...Ch. 5.11 - 1. A reversible heat pump cycle operates between...Ch. 5.11 - Prob. 2CUCh. 5.11 - 3. Referring to the list of Sec. 5.3.1,...Ch. 5.11 - 4. Uses of the second law of thermodynamics...Ch. 5.11 - Prob. 5CUCh. 5.11 - Prob. 6CUCh. 5.11 - Prob. 7CUCh. 5.11 - Prob. 8CUCh. 5.11 - Prob. 9CUCh. 5.11 - Prob. 10CUCh. 5.11 - Prob. 11CUCh. 5.11 - Prob. 12CUCh. 5.11 - Prob. 13CUCh. 5.11 - Prob. 14CUCh. 5.11 - Prob. 15CUCh. 5.11 - Prob. 16CUCh. 5.11 - Prob. 17CUCh. 5.11 - 18. Referring to Fig. 5.15, if the boiler and...Ch. 5.11 - Prob. 19CUCh. 5.11 - Prob. 20CUCh. 5.11 - Prob. 21CUCh. 5.11 - 22. A cell phone initially has a fully charged...Ch. 5.11 - Prob. 23CUCh. 5.11 - Prob. 24CUCh. 5.11 - Prob. 25CUCh. 5.11 - Prob. 26CUCh. 5.11 - Prob. 27CUCh. 5.11 - 28. As shown in Fig. P5.28C, energy transfer...Ch. 5.11 - 29. As shown in Fig. P5.29C, a rigid, insulated...Ch. 5.11 - 30. As shown in Fig. P5.30C, when the steam in the...Ch. 5.11 - Prob. 31CUCh. 5.11 - Prob. 32CUCh. 5.11 - Prob. 33CUCh. 5.11 - Prob. 34CUCh. 5.11 - Prob. 35CUCh. 5.11 - Prob. 36CUCh. 5.11 - Prob. 37CUCh. 5.11 - Prob. 38CUCh. 5.11 - Prob. 39CUCh. 5.11 - Prob. 40CUCh. 5.11 - Prob. 41CUCh. 5.11 - Prob. 42CUCh. 5.11 - 43. The maximum coefficient of performance of any...Ch. 5.11 - Prob. 44CUCh. 5.11 - Prob. 45CUCh. 5.11 - Prob. 46CUCh. 5.11 - 47. When an isolated system undergoes a process,...Ch. 5.11 - Prob. 48CUCh. 5.11 - Prob. 49CUCh. 5.11 - Prob. 50CUCh. 5.11 - 5.1 Complete the demonstration of the equivalence...Ch. 5.11 - 5.2 Shown in Fig. P5.2 is a proposed system that...Ch. 5.11 - 5.3 Classify the following processes of a closed...Ch. 5.11 - Prob. 4PCh. 5.11 - Prob. 5PCh. 5.11 - Prob. 6PCh. 5.11 - 5.7 Provide the details left to the reader in the...Ch. 5.11 - 5.8 Using the Kelvin–Planck statement of the...Ch. 5.11 - Prob. 9PCh. 5.11 - Prob. 10PCh. 5.11 - Prob. 11PCh. 5.11 - Prob. 12PCh. 5.11 - Prob. 13PCh. 5.11 - Prob. 14PCh. 5.11 - 5.15 To increase the thermal efficiency of a...Ch. 5.11 - Prob. 16PCh. 5.11 - Prob. 17PCh. 5.11 - Prob. 18PCh. 5.11 - 5.19 A power cycle operating at steady state...Ch. 5.11 - 5.20 As shown in Fig. P5.20, a reversible power...Ch. 5.11 - Prob. 21PCh. 5.11 - Prob. 22PCh. 5.11 - Prob. 23PCh. 5.11 - Prob. 24PCh. 5.11 - Prob. 25PCh. 5.11 - Prob. 26PCh. 5.11 - Prob. 27PCh. 5.11 - Prob. 28PCh. 5.11 - Prob. 29PCh. 5.11 - Prob. 30PCh. 5.11 - Prob. 31PCh. 5.11 - Prob. 32PCh. 5.11 - Prob. 33PCh. 5.11 - 5.34 A power cycle operates between hot and cold...Ch. 5.11 - Prob. 35PCh. 5.11 - 5.36 An inventor claims to have developed a power...Ch. 5.11 - Prob. 37PCh. 5.11 - Prob. 38PCh. 5.11 - 5.39 As shown in Fig. P5.39, a system undergoing a...Ch. 5.11 - Prob. 40PCh. 5.11 - Prob. 41PCh. 5.11 - Prob. 42PCh. 5.11 - Prob. 43PCh. 5.11 - 5.44 A reversible refrigeration cycle operates...Ch. 5.11 - Prob. 45PCh. 5.11 - 5.46 A heating system must maintain the interior...Ch. 5.11 - Prob. 47PCh. 5.11 - 5.48 The thermal efficiency of a reversible power...Ch. 5.11 - 5.49 Shown in Fig. P5.49 is a system consisting of...Ch. 5.11 - 5.50 An inventor has developed a refrigerator...Ch. 5.11 - 5.51 An inventor claims to have developed a food...Ch. 5.11 - 5.52 An inventor claims to have developed a...Ch. 5.11 - 5.53 An inventor claims to have devised a...Ch. 5.11 - 5.54 Data are provided for two reversible...Ch. 5.11 - 5.55 By removing energy by heat transfer from its...Ch. 5.11 - 5.56 At steady state, a refrigeration cycle...Ch. 5.11 - Prob. 57PCh. 5.11 - 5.58 At steady state, a refrigeration cycle...Ch. 5.11 - Prob. 59PCh. 5.11 - Prob. 60PCh. 5.11 - Prob. 61PCh. 5.11 - Prob. 62PCh. 5.11 - Prob. 63PCh. 5.11 - 5.64 As shown in Fig P5.64, an air conditioner...Ch. 5.11 - Prob. 65PCh. 5.11 - Prob. 66PCh. 5.11 - 5.68 The refrigerator shown in Fig. P5.68 operates...Ch. 5.11 - Prob. 69PCh. 5.11 - 5.70 By supplying energy at an average rate of...Ch. 5.11 - 5.71 A heat pump with a coefficient of performance...Ch. 5.11 - 5.72 As shown in Fig. P5.72, a heat pump provides...Ch. 5.11 - 5.73 As shown in Fig. P 5.73, a heat pump receives...Ch. 5.11 - Prob. 74PCh. 5.11 - Prob. 75PCh. 5.11 - Prob. 76PCh. 5.11 - Prob. 77PCh. 5.11 - Prob. 78PCh. 5.11 - Prob. 79PCh. 5.11 - Prob. 80PCh. 5.11 - 5.81 A quantity of water within a piston–cylinder...Ch. 5.11 - Prob. 82PCh. 5.11 - 5.83 Two kilograms of air within a piston–cylinder...Ch. 5.11 - Prob. 84PCh. 5.11 - Prob. 85PCh. 5.11 - Prob. 86PCh. 5.11 - Prob. 87PCh. 5.11 - Prob. 88PCh. 5.11 - Prob. 89PCh. 5.11 - 5.90 Figure P5.90 gives the schematic of a vapor...Ch. 5.11 - Prob. 91PCh. 5.11 - Prob. 92PCh. 5.11 - 5.93 As shown in Fig. P5.93, a system executes a...Ch. 5.11 - Prob. 94P
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