Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 22, Problem 30P
Suppose you build a two-engine device with the exhaust energy output from one
What If? For parts (b) through (e) that follow, assume the two engines are Carnot engines. Engine 1 operates between temperatures Th and Ti. The gas in engine 2 varies in temperature between Ti and Tc. In terms of the temperatures, (b) what is the efficiency of the combination engine? (c) Does an improvement in net efficiency result from the use of two engines instead of one? (d) What value of the intermediate temperature Ti results in equal work being done by each of the two engines in series? (e) What value of Ti results in each of the two engines in series having the same efficiency?
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
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[2 marks]
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of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 22 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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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