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 6.13, Problem 12E
To determine
The concept of ENERGY STAR program.
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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 6 Solutions
Fundamentals of Engineering Thermodynamics
Ch. 6.13 - Prob. 1ECh. 6.13 - Prob. 2ECh. 6.13 - Prob. 3ECh. 6.13 - Prob. 4ECh. 6.13 - Prob. 5ECh. 6.13 - 6. Is entropy produced within a system undergoing...Ch. 6.13 - 7. When a mixture of olive oil and vinegar...Ch. 6.13 - Prob. 8ECh. 6.13 - Prob. 9ECh. 6.13 - 10. Is Eq. 6.51a restricted to adiabatic processes...
Ch. 6.13 - Prob. 11ECh. 6.13 - 12. What is the ENERGY STAR® program?
Ch. 6.13 - Prob. 1CUCh. 6.13 - Prob. 2CUCh. 6.13 - Prob. 3CUCh. 6.13 - Prob. 4CUCh. 6.13 - Prob. 5CUCh. 6.13 - For Problems 1–6, a closed system undergoes a...Ch. 6.13 - For Problems 7–10, a gas flows through a...Ch. 6.13 - Prob. 8CUCh. 6.13 - Prob. 9CUCh. 6.13 - For Problems 7–10, a gas flows through a...Ch. 6.13 - Prob. 11CUCh. 6.13 - Prob. 12CUCh. 6.13 - Prob. 13CUCh. 6.13 - 14. A closed system undergoes a process for which...Ch. 6.13 - 15. Show that for phase change of water from...Ch. 6.13 - Prob. 16CUCh. 6.13 - Prob. 17CUCh. 6.13 - Prob. 18CUCh. 6.13 - Prob. 19CUCh. 6.13 - Prob. 20CUCh. 6.13 - Prob. 21CUCh. 6.13 - Prob. 22CUCh. 6.13 - Prob. 23CUCh. 6.13 - Prob. 24CUCh. 6.13 - Prob. 25CUCh. 6.13 - Prob. 26CUCh. 6.13 - Prob. 27CUCh. 6.13 - 28. Briefly explain the notion of microscopic...Ch. 6.13 - Prob. 29CUCh. 6.13 - Prob. 30CUCh. 6.13 - Prob. 31CUCh. 6.13 - Prob. 32CUCh. 6.13 - Prob. 33CUCh. 6.13 - Prob. 34CUCh. 6.13 - Prob. 35CUCh. 6.13 - 36. A closed system can experience a decrease in...Ch. 6.13 - 37. Entropy is produced in every internally...Ch. 6.13 - Prob. 38CUCh. 6.13 - Prob. 39CUCh. 6.13 - Prob. 40CUCh. 6.13 - Prob. 41CUCh. 6.13 - Prob. 42CUCh. 6.13 - Prob. 43CUCh. 6.13 - Prob. 44CUCh. 6.13 - Prob. 45CUCh. 6.13 - Prob. 46CUCh. 6.13 - Prob. 47CUCh. 6.13 - Prob. 48CUCh. 6.13 - Prob. 49CUCh. 6.13 - Prob. 50CUCh. 6.13 - 51. The increase of entropy principle states that...Ch. 6.13 - Prob. 52CUCh. 6.13 - Prob. 53CUCh. 6.13 - Prob. 54CUCh. 6.13 - 55. When a system undergoes a Carnot cycle, no...Ch. 6.13 - Prob. 1PCh. 6.13 - Prob. 2PCh. 6.13 - Prob. 3PCh. 6.13 - 6.4 Using the appropriate tables, determine the...Ch. 6.13 -
6.7 Using steam table data, determine the...Ch. 6.13 - 6.8 Using the appropriate table, determine the...Ch. 6.13 - Prob. 10PCh. 6.13 - 6.11 Air in a piston–cylinder assembly undergoes a...Ch. 6.13 - 6.12 Water contained in a closed, rigid tank,...Ch. 6.13 - Prob. 13PCh. 6.13 - 6.14 Five kg of nitrogen (N2) undergoes a process...Ch. 6.13 - Prob. 15PCh. 6.13 - Prob. 16PCh. 6.13 - Prob. 17PCh. 6.13 - 6.18 Steam enters a turbine operating at steady...Ch. 6.13 - Prob. 19PCh. 6.13 - 6.20 One kg of water in a piston–cylinder assembly...Ch. 6.13 - Prob. 21PCh. 6.13 - 6.22 A system consisting of 2 kg of water...Ch. 6.13 - Prob. 23PCh. 6.13 - 6.24 A gas within a piston–cylinder assembly...Ch. 6.13 - Prob. 25PCh. 6.13 - 6.26 A gas initially at 2.8 bar and 60°C is...Ch. 6.13 - Prob. 27PCh. 6.13 - Prob. 28PCh. 6.13 - Prob. 29PCh. 6.13 - Prob. 30PCh. 6.13 - Prob. 31PCh. 6.13 - Prob. 32PCh. 6.13 - 6.33 Air in a piston–cylinder assembly undergoes a...Ch. 6.13 - Prob. 34PCh. 6.13 - Prob. 35PCh. 6.13 - Prob. 36PCh. 6.13 - 6.37 Two m3 of air in a rigid, insulated container...Ch. 6.13 - Prob. 38PCh. 6.13 - 6.39 Air contained in a rigid, insulated tank...Ch. 6.13 - 6.40 Air contained in a rigid, insulated tank...Ch. 6.13 - 6.41 Air contained in a rigid, insulated tank...Ch. 6.13 - Prob. 42PCh. 6.13 - Prob. 43PCh. 6.13 - Prob. 44PCh. 6.13 - 6.45 Steam undergoes an adiabatic expansion in a...Ch. 6.13 - 6.46 Two kg of air contained in a piston-cylinder...Ch. 6.13 - Prob. 47PCh. 6.13 - Prob. 48PCh. 6.13 - 6.49 One kg of air contained in a piston-cylinder...Ch. 6.13 - Prob. 50PCh. 6.13 - Prob. 51PCh. 6.13 - Prob. 52PCh. 6.13 - Prob. 53PCh. 6.13 - Prob. 54PCh. 6.13 - 6.55 For the silicon chip of Example 2.5....Ch. 6.13 - Prob. 56PCh. 6.13 - Prob. 57PCh. 6.13 - Prob. 58PCh. 6.13 - Prob. 59PCh. 6.13 - Prob. 60PCh. 6.13 - 6.61 A 2.64-kg copper part, initially at 400 K, is...Ch. 6.13 - Prob. 62PCh. 6.13 - Prob. 63PCh. 6.13 - 6.64 As shown in Fig. P6.64, an insulated box is...Ch. 6.13 - Prob. 68PCh. 6.13 - Prob. 69PCh. 6.13 - Prob. 70PCh. 6.13 - Prob. 71PCh. 6.13 - Prob. 72PCh. 6.13 - Prob. 73PCh. 6.13 - Prob. 74PCh. 6.13 - Prob. 75PCh. 6.13 - Prob. 76PCh. 6.13 - Prob. 77PCh. 6.13 - Prob. 79PCh. 6.13 - 6.80 Water at 20 bar, 400°C enters a turbine...Ch. 6.13 - Prob. 81PCh. 6.13 - Prob. 82PCh. 6.13 - Prob. 83PCh. 6.13 - Prob. 84PCh. 6.13 - Prob. 85PCh. 6.13 - 6.86 Steam enters a well-insulated nozzle...Ch. 6.13 - Prob. 87PCh. 6.13 - 6.88 An open feedwater heater is a direct-contact...Ch. 6.13 - Prob. 89PCh. 6.13 - 6.90 Air at 600 kPa, 330 K enters a...Ch. 6.13 - Prob. 91PCh. 6.13 - Prob. 92PCh. 6.13 - Prob. 93PCh. 6.13 - Prob. 94PCh. 6.13 - Prob. 95PCh. 6.13 - Prob. 96PCh. 6.13 - Prob. 97PCh. 6.13 - Prob. 98PCh. 6.13 - 6.99 Ammonia enters the compressor of an...Ch. 6.13 - Prob. 100PCh. 6.13 - Prob. 101PCh. 6.13 - 6.102 Steam enters a turbine operating at steady...Ch. 6.13 - 6.103 Refrigerant 134a is compressed from 2 bar,...Ch. 6.13 - Prob. 104PCh. 6.13 - Prob. 105PCh. 6.13 - Prob. 106PCh. 6.13 - Prob. 107PCh. 6.13 - Prob. 108PCh. 6.13 - 6.109 Determine the rates of entropy production,...Ch. 6.13 - Prob. 110PCh. 6.13 - Prob. 111PCh. 6.13 - 6.112 Air as an ideal gas flows through the...Ch. 6.13 - 6.113 A rigid, insulated tank whose volume is 10 L...Ch. 6.13 - Prob. 114PCh. 6.13 - Prob. 115PCh. 6.13 - Prob. 116PCh. 6.13 - Prob. 117PCh. 6.13 - 6.118 Air in a piston–cylinder assembly expands...Ch. 6.13 - Prob. 119PCh. 6.13 - 6.120 Steam undergoes an isentropic compression in...Ch. 6.13 - Prob. 121PCh. 6.13 - Prob. 122PCh. 6.13 - Prob. 123PCh. 6.13 - 6.124 Air within a piston–cylinder assembly,...Ch. 6.13 - Prob. 125PCh. 6.13 - Prob. 127PCh. 6.13 - 6.128 A rigid, insulated tank with a volume of 20...Ch. 6.13 - 6.129 A rigid, insulated tank with a volume of...Ch. 6.13 - Prob. 130PCh. 6.13 - Prob. 131PCh. 6.13 - Prob. 132PCh. 6.13 - 6.133 Figure P6.133 shows a simple vapor power...Ch. 6.13 - Prob. 134PCh. 6.13 - Prob. 135PCh. 6.13 - Prob. 136PCh. 6.13 - 6.137 Air at 1600 K, 30 bar enters a turbine...Ch. 6.13 - Prob. 138PCh. 6.13 - Prob. 139PCh. 6.13 - Prob. 140PCh. 6.13 - Prob. 141PCh. 6.13 - Prob. 142PCh. 6.13 - Prob. 143PCh. 6.13 - Prob. 144PCh. 6.13 - Prob. 145PCh. 6.13 - Prob. 146PCh. 6.13 - Prob. 147PCh. 6.13 - Prob. 148PCh. 6.13 - Prob. 149PCh. 6.13 - Prob. 150PCh. 6.13 - Prob. 151PCh. 6.13 - Prob. 152PCh. 6.13 - Prob. 153PCh. 6.13 - Prob. 154PCh. 6.13 - Prob. 155PCh. 6.13 - Prob. 156PCh. 6.13 - Prob. 157PCh. 6.13 - Prob. 158PCh. 6.13 - Prob. 159PCh. 6.13 - Prob. 160PCh. 6.13 - Prob. 161PCh. 6.13 - Prob. 162PCh. 6.13 - Prob. 163PCh. 6.13 - Prob. 164PCh. 6.13 - 6.165. Steam enters a two-stage turbine with...Ch. 6.13 - Prob. 166PCh. 6.13 - Prob. 167PCh. 6.13 - Prob. 168PCh. 6.13 - Prob. 169PCh. 6.13 - Prob. 170PCh. 6.13 - 6.171. Carbon dioxide (CO2) expands isothermally...Ch. 6.13 - 6.172 Steam at 12.0 MPa, 480°C expands through a...Ch. 6.13 - Prob. 173PCh. 6.13 - Prob. 174PCh. 6.13 - Prob. 175PCh. 6.13 - Prob. 176PCh. 6.13 - Prob. 177PCh. 6.13 - Prob. 178PCh. 6.13 - Prob. 179PCh. 6.13 - Prob. 180PCh. 6.13 - Prob. 181PCh. 6.13 - 6.182 An electrically driven pump operating at...Ch. 6.13 - 6.183 As shown in Fig. P6.183, water behind a dam...Ch. 6.13 - Prob. 184PCh. 6.13 - Prob. 185PCh. 6.13 - Prob. 186P
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