FUNDAMENTALS OF ENGINEERING THERMODYNAM
8th Edition
ISBN: 2818440116926
Author: MORAN
Publisher: WILEY CONS
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Chapter 6.13, Problem 53P
To determine
The amount of energy transfer by heat.
The amount of entropy generated.
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Problem 1 (30 Points)
Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In
scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no
friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in
both scenarios, there is one generalized coordinate, .
R
Scenario 1
R
m
R
g
Scenario 2
m
HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the
bowl (scenario 1), or the pivot point of the pendulum (scenario 2).
Part I
a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points)
b) What can you say about the systems based on the Lagrangian? (2 points)
c) Solve for the equations of motion for both systems. (8 points)
Part II
Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to
determine the normal force acting on the mass.
a)…
Consider 0.65 kg of N2 at 300 K, 1 bar contained in a rigid tank connected by a valve to another rigid tank holding 0.3 kg of CO2 at 300 K, 1 bar. The valve is opened and gases are allowed to mix, achieving an equilibrium state at 290 K. Determine: (a) the volume of each tank, in m³. (b) the final pressure, in bar. (c) the magnitude of the heat transfer to or from the gases during the process, in kJ. (d) the entropy change of each gas and of the overall system, in kJ/K.
(Read Image) (Answer: ω = 1.10 rad/sec CW)
Chapter 6 Solutions
FUNDAMENTALS OF ENGINEERING THERMODYNAM
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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