Thermodynamics: An Engineering Approach
8th Edition
ISBN: 9780073398174
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 10.9, Problem 113RP
To determine
Prove that the efficiency of the combined gas-steam power plant is greater than either the efficiency of gas power cycle or steam power 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 10 Solutions
Thermodynamics: An Engineering Approach
Ch. 10.9 - Why is the Carnot cycle not a realistic model for...Ch. 10.9 - Prob. 2PCh. 10.9 - A steady-flow Carnot cycle uses water as the...Ch. 10.9 - A steady-flow Carnot cycle uses water as the...Ch. 10.9 - Consider a steady-flow Carnot cycle with water as...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - How do actual vapor power cycles differ from...Ch. 10.9 - The entropy of steam increases in actual steam...
Ch. 10.9 - Is it possible to maintain a pressure of 10 kPa in...Ch. 10.9 - 10–12 A steam power plant operates on a simple...Ch. 10.9 - 10–13 Refrigerant-134a is used as the working...Ch. 10.9 - 10–14 A simple ideal Rankine cycle which uses...Ch. 10.9 - 10–15E A simple ideal Rankine cycle with water as...Ch. 10.9 - Consider a 210-MW steam power plant that operates...Ch. 10.9 - Consider a 210-MW steam power plant that operates...Ch. 10.9 - A steam Rankine cycle operates between the...Ch. 10.9 - A steam Rankine cycle operates between the...Ch. 10.9 - Prob. 20PCh. 10.9 - Prob. 21PCh. 10.9 - A simple Rankine cycle uses water as the working...Ch. 10.9 - The net work output and the thermal efficiency for...Ch. 10.9 - A binary geothermal power plant uses geothermal...Ch. 10.9 - Consider a coal-fired steam power plant that...Ch. 10.9 - Show the ideal Rankine cycle with three stages of...Ch. 10.9 - How do the following quantities change when a...Ch. 10.9 - Consider a simple ideal Rankine cycle and an ideal...Ch. 10.9 - An ideal reheat Rankine cycle with water as the...Ch. 10.9 - 10–31 A steam power plant operates on the ideal...Ch. 10.9 - Steam enters the high-pressure turbine of a steam...Ch. 10.9 - 10–34 Consider a steam power plant that operates...Ch. 10.9 - A steam power plant operates on an ideal reheat...Ch. 10.9 - Consider a steam power plant that operates on a...Ch. 10.9 - Repeat Prob. 1041 assuming both the pump and the...Ch. 10.9 - Prob. 39PCh. 10.9 - How do open feedwater heaters differ from closed...Ch. 10.9 - How do the following quantities change when the...Ch. 10.9 - Prob. 43PCh. 10.9 - 10–44 The closed feedwater heater of a...Ch. 10.9 - A steam power plant operates on an ideal...Ch. 10.9 - A steam power plant operates on an ideal...Ch. 10.9 - 10–47 A steam power plant operates on an ideal...Ch. 10.9 - Consider a steam power plant that operates on the...Ch. 10.9 - Consider a steam power plant that operates on the...Ch. 10.9 - Consider a steam power plant that operates on the...Ch. 10.9 - Consider an ideal steam regenerative Rankine cycle...Ch. 10.9 - A steam power plant operates on an ideal...Ch. 10.9 - Repeat Prob. 1060, but replace the open feedwater...Ch. 10.9 - 10–57 An ideal Rankine steam cycle modified with...Ch. 10.9 - Prob. 58PCh. 10.9 - Prob. 59PCh. 10.9 - Prob. 60PCh. 10.9 - Consider a steam power plant that operates on a...Ch. 10.9 - Prob. 63PCh. 10.9 - Prob. 64PCh. 10.9 - The schematic of a single-flash geothermal power...Ch. 10.9 - Prob. 66PCh. 10.9 - Prob. 67PCh. 10.9 - Consider a cogeneration plant for which the...Ch. 10.9 - Prob. 69PCh. 10.9 - A large food-processing plant requires 1.5 lbm/s...Ch. 10.9 - Steam is generated in the boiler of a cogeneration...Ch. 10.9 - Consider a cogeneration power plant modified with...Ch. 10.9 - Steam is generated in the boiler of a cogeneration...Ch. 10.9 - Prob. 75PCh. 10.9 - Why is the combined gassteam cycle more efficient...Ch. 10.9 - The gas-turbine portion of a combined gassteam...Ch. 10.9 - Prob. 78PCh. 10.9 - Prob. 80PCh. 10.9 - Consider a combined gassteam power plant that has...Ch. 10.9 - Why is steam not an ideal working fluid for vapor...Ch. 10.9 - Prob. 86PCh. 10.9 - What is the difference between the binary vapor...Ch. 10.9 - Why is mercury a suitable working fluid for the...Ch. 10.9 - By writing an energy balance on the heat exchanger...Ch. 10.9 - Steam enters the turbine of a steam power plant...Ch. 10.9 - Prob. 91RPCh. 10.9 - A steam power plant operates on an ideal Rankine...Ch. 10.9 - Consider a steam power plant operating on the...Ch. 10.9 - Consider a steam power plant that operates on a...Ch. 10.9 - Repeat Prob. 1098 assuming both the pump and the...Ch. 10.9 - Consider an ideal reheatregenerative Rankine cycle...Ch. 10.9 - Prob. 97RPCh. 10.9 - Prob. 98RPCh. 10.9 - A textile plant requires 4 kg/s of saturated steam...Ch. 10.9 - Consider a cogeneration power plant that is...Ch. 10.9 - Prob. 101RPCh. 10.9 - Reconsider Prob. 10105E. It has been suggested...Ch. 10.9 - Reconsider Prob. 10106E. During winter, the system...Ch. 10.9 - Prob. 104RPCh. 10.9 - Prob. 105RPCh. 10.9 - Prob. 106RPCh. 10.9 - A steam power plant operates on an ideal...Ch. 10.9 - Show that the thermal efficiency of a combined...Ch. 10.9 - Prob. 113RPCh. 10.9 - Starting with Eq. 1020, show that the exergy...Ch. 10.9 - A solar collector system delivers heat to a power...Ch. 10.9 - Consider a simple ideal Rankine cycle. If the...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Prob. 120FEPCh. 10.9 - A simple ideal Rankine cycle operates between the...Ch. 10.9 - Prob. 122FEPCh. 10.9 - Prob. 123FEPCh. 10.9 - Consider a combined gas-steam power plant. Water...Ch. 10.9 - Pressurized feedwater in a steam power plant is to...Ch. 10.9 - Consider a steam power plant that operates on the...
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