Fundamentals Of Thermal-fluid Sciences In Si Units
5th Edition
ISBN: 9789814720953
Author: Yunus Cengel, Robert Turner, John Cimbala
Publisher: McGraw-Hill Education
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Question
Chapter 9, Problem 99P
a)
To determine
The thermal efficiency of the Carnot cycle.
b)
To determine
The amount of heat rejected.
c)
To determine
The net-work output of the cycle.
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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 9 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 9 - Prob. 1PCh. 9 - What is the difference between air-standard...Ch. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10P
Ch. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 53PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Prob. 64PCh. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - Prob. 67PCh. 9 - A simple Brayton cycle using air as the working...Ch. 9 - Prob. 70PCh. 9 - Consider a simple Brayton cycle using air as the...Ch. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - A gas-turbine power plant operates on a simple...Ch. 9 - Prob. 77PCh. 9 - Prob. 78PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 84PCh. 9 - Prob. 85PCh. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - Prob. 89PCh. 9 - Prob. 90PCh. 9 - Prob. 91PCh. 9 - Prob. 92PCh. 9 - Prob. 93PCh. 9 - Prob. 94PCh. 9 - Prob. 95PCh. 9 - Prob. 96PCh. 9 - Prob. 97PCh. 9 - Prob. 98PCh. 9 - Prob. 99PCh. 9 - Prob. 100PCh. 9 - Prob. 101PCh. 9 - Prob. 102PCh. 9 - Prob. 103PCh. 9 - Prob. 104PCh. 9 - Prob. 105PCh. 9 - Prob. 106PCh. 9 - Prob. 107PCh. 9 - Refrigerant-134a is used as the working fluid in a...Ch. 9 - Prob. 109PCh. 9 - A simple ideal Rankine cycle with water as the...Ch. 9 - Prob. 111PCh. 9 - Prob. 112PCh. 9 - Prob. 113PCh. 9 - Prob. 114PCh. 9 - Prob. 115PCh. 9 - Prob. 116PCh. 9 - Prob. 117PCh. 9 - Prob. 119PCh. 9 - Prob. 120PCh. 9 - Prob. 121PCh. 9 - Prob. 122PCh. 9 - Prob. 123PCh. 9 - Prob. 124PCh. 9 - Prob. 125PCh. 9 - Prob. 127PCh. 9 - Prob. 128PCh. 9 - Prob. 129PCh. 9 - Prob. 130PCh. 9 - Prob. 131PCh. 9 - Prob. 132PCh. 9 - Why is the reversed Carnot cycle executed within...Ch. 9 - Prob. 134PCh. 9 - Prob. 135PCh. 9 - Refrigerant-134a enters the condenser of a...Ch. 9 - Prob. 137PCh. 9 - Prob. 138PCh. 9 - Prob. 139PCh. 9 - Prob. 140PCh. 9 - Prob. 141PCh. 9 - Prob. 142PCh. 9 - Prob. 143PCh. 9 - Prob. 144PCh. 9 - Prob. 145PCh. 9 - Prob. 146PCh. 9 - Prob. 148PCh. 9 - Prob. 149PCh. 9 - A commercial refrigerator with refrigerant-134a as...Ch. 9 - Prob. 151PCh. 9 - Prob. 153PCh. 9 - Prob. 154PCh. 9 - Prob. 155PCh. 9 - Prob. 156PCh. 9 - Prob. 157PCh. 9 - Prob. 158PCh. 9 - Prob. 159PCh. 9 - Refrigerant-134a enters the condenser of a...Ch. 9 - Prob. 161PCh. 9 - Prob. 162PCh. 9 - Prob. 164RQCh. 9 - Prob. 165RQCh. 9 - Prob. 166RQCh. 9 - Prob. 167RQCh. 9 - Prob. 168RQCh. 9 - A Brayton cycle with a pressure ratio of 12...Ch. 9 - Prob. 170RQCh. 9 - Prob. 171RQCh. 9 - Prob. 172RQCh. 9 - Prob. 173RQCh. 9 - Prob. 175RQCh. 9 - Prob. 176RQCh. 9 - Prob. 177RQCh. 9 - Prob. 178RQCh. 9 - Prob. 179RQCh. 9 - Prob. 180RQCh. 9 - Prob. 181RQCh. 9 - Prob. 182RQCh. 9 - Prob. 183RQCh. 9 - Prob. 184RQCh. 9 - Prob. 185RQCh. 9 - Prob. 186RQCh. 9 - A large refrigeration plant is to be maintained at...Ch. 9 - An air conditioner with refrigerant-134a as the...
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