Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 22, Problem 38P
To determine
To show that the efficiency of an engine operating in the idealized diesel cycle is
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An idealized diesel engine operates in a cycle known as the
air-standard diesel cycle shown in Figure P21.19. Fuel is sprayed
into the cylinder at the point of maximum compression, B.
Combustion occurs during the expansion B→ C, which is
modeled as an isobaric process. Show that the efficiency of
an engine operating in this idealized diesel cycle is
1(T,
e = 1
T.
T,
B
P
Adiabatic
B
C
processes
D
A
-V
V2 = VB
Vc
V = VA
Figure P21.19
A certain gasoline engine is modeled as a monatomic ideal gas undergoing an Otto cycle, represented by the p-V diagram shown in the figure. The initial pressure, volume, and temperature are p1 = 1.05 × 105 Pa, V1 = 0.035 m3, and T1 = 290 K, respectively.
a)The first step in the Otto cycle is adiabatic compression. Enter an expression for the work performed on the gas during the first step, in terms of V1, V2, and p1.
b) Calculate the temperature of the gas, in kelvins, at the end of the first step.
c)The fourth and last step in the Otto cycle is isochoric cooling to the initial conditions. Find the amount of heat, in joules, that is discharged by the gas during the fourth step.
A certain gasoline engine is modeled as a monatomic ideal gas undergoing an Otto cycle, represented by the p-V diagram shown in the figure. The initial pressure, volume, and temperature are p1 = 1.05 × 105 Pa, V1 = 0.035 m3, and T1 = 290 K, respectively.
a)The first step in the Otto cycle is adiabatic compression. Enter an expression for the work performed on the gas during the first step, in terms of V1, V2, and p1.
b) Calculate the work performed on the gas during the first step, in joules, for V2 = V1/9.4.
c)Calculate the temperature of the gas, in kelvins, at the end of the first step.
Chapter 22 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Ch. 22.1 - The energy input to an engine is 4.00 times...Ch. 22.2 - The energy entering an electric heater by...Ch. 22.4 - Three engines operate between reservoirs separated...Ch. 22.6 - (a) Suppose you select four cards at random from a...Ch. 22.7 - An ideal gas is taken from an initial temperature...Ch. 22.7 - True or False: The entropy change in an adiabatic...Ch. 22 - Prob. 1OQCh. 22 - Prob. 2OQCh. 22 - Prob. 3OQCh. 22 - Of the following, which is not a statement of the...
Ch. 22 - Prob. 5OQCh. 22 - Prob. 6OQCh. 22 - Prob. 7OQCh. 22 - Prob. 8OQCh. 22 - Prob. 9OQCh. 22 - Prob. 10OQCh. 22 - The arrow OA in the PV diagram shown in Figure...Ch. 22 - The energy exhaust from a certain coal-fired...Ch. 22 - Discuss three different common examples of natural...Ch. 22 - Prob. 3CQCh. 22 - The first law of thermodynamics says you cant...Ch. 22 - Energy is the mistress of the Universe, and...Ch. 22 - (a) Give an example of an irreversible process...Ch. 22 - The device shown in Figure CQ22.7, called a...Ch. 22 - A steam-driven turbine is one major component of...Ch. 22 - Discuss the change in entropy of a gas that...Ch. 22 - Prob. 10CQCh. 22 - Prob. 11CQCh. 22 - (a) If you shake a jar full of jelly beans of...Ch. 22 - What are some factors that affect the efficiency...Ch. 22 - A particular heat engine has a mechanical power...Ch. 22 - The work done by an engine equals one-fourth the...Ch. 22 - A heat engine takes in 360 J of energy from a hot...Ch. 22 - A gun is a heat engine. In particular, it is an...Ch. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Suppose a heat engine is connected to two energy...Ch. 22 - Prob. 8PCh. 22 - During each cycle, a refrigerator ejects 625 kJ of...Ch. 22 - Prob. 10PCh. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - A freezer has a coefficient of performance of...Ch. 22 - Prob. 14PCh. 22 - One of the most efficient heat engines ever built...Ch. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - Prob. 18PCh. 22 - Prob. 19PCh. 22 - Prob. 20PCh. 22 - Prob. 21PCh. 22 - How much work does an ideal Carnot refrigerator...Ch. 22 - Prob. 23PCh. 22 - A power plant operates at a 32.0% efficiency...Ch. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - A heat engine operates in a Carnot cycle between...Ch. 22 - Suppose you build a two-engine device with the...Ch. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Prob. 33PCh. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - Prob. 39PCh. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - A Styrofoam cup holding 125 g of hot water at 100C...Ch. 22 - Prob. 44PCh. 22 - A 1 500-kg car is moving at 20.0 m/s. The driver...Ch. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - Prob. 48PCh. 22 - Prob. 49PCh. 22 - What change in entropy occurs when a 27.9-g ice...Ch. 22 - Calculate the change in entropy of 250 g of water...Ch. 22 - Prob. 52PCh. 22 - Prob. 53PCh. 22 - Prob. 54PCh. 22 - Prob. 55PCh. 22 - Prob. 56APCh. 22 - Prob. 57APCh. 22 - A steam engine is operated in a cold climate where...Ch. 22 - Prob. 59APCh. 22 - Prob. 60APCh. 22 - Prob. 61APCh. 22 - In 1993, the U.S. government instituted a...Ch. 22 - Prob. 63APCh. 22 - Prob. 64APCh. 22 - Prob. 65APCh. 22 - Prob. 66APCh. 22 - In 1816, Robert Stirling, a Scottish clergyman,...Ch. 22 - Prob. 68APCh. 22 - Prob. 69APCh. 22 - Prob. 70APCh. 22 - Prob. 71APCh. 22 - Prob. 72APCh. 22 - Prob. 73APCh. 22 - A system consisting of n moles of an ideal gas...Ch. 22 - A heat engine operates between two reservoirs at...Ch. 22 - Prob. 76APCh. 22 - Prob. 77APCh. 22 - Prob. 78APCh. 22 - A sample of an ideal gas expands isothermally,...Ch. 22 - Prob. 80APCh. 22 - Prob. 81CP
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- At point A in a Carnot cycle, 2.34 mol of a monatomic ideal gas has a pressure of 1 4000 kPa, a volume of 10.0 L, and a temperature of 720 K. The gas expands isothermally to point B and then expands adiabatically to point C, where its volume is 24.0 L. An isothermal compression brings it to point D, where its volume is 15.0 L. An adiabatic process returns the gas to point A. (a) Determine all the unknown pressures, volumes, and temperatures as you f ill in the following table: (b) Find the energy added by heat, the work done by the engine, and the change in internal energy for each of the steps A B, B C, C D, and D A (c) Calculate the efficiency Wnet/|Qk|. (d) Show that the efficiency is equal to 1 - TC/TA, the Carnot efficiency.arrow_forwardOf the following, which is not a statement of the second law of thermodynamics? (a) No heat engine operating in a cycle can absorb energy from a reservoir and use it entirely to do work, (b) No real engine operating between two energy reservoirs can be more efficient than a Carnot engine operating between the same two reservoirs, (c) When a system undergoes a change in state, the change in the internal energy of the system is the sum of the energy transferred to the system by heat and the work done on the system, (d) The entropy of the Universe increases in all natural processes, (e) Energy will not spontaneously transfer by heat from a cold object to a hot object.arrow_forwardA 1.00-mol sample of an ideal monatomic gas is taken through the cycle shown in Figure P18.63. The process AB is a reversible isothermal expansion. Calculate (a) the net work done by the gas, (b) the energy added to the gas by heat, (c) the energy exhausted from the gas by heat, and (d) the efficiency of the cycle. (e) Explain how the efficiency compares with that of a Carnot engine operating between the same temperature extremes. Figure P18.63arrow_forward
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